TSTP Solution File: SYN500+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN500+1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:23:17 EDT 2024

% Result   : Theorem 0.49s 0.70s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  146
% Syntax   : Number of formulae    :  664 (   1 unt;   0 def)
%            Number of atoms       : 7230 (   0 equ)
%            Maximal formula atoms :  810 (  10 avg)
%            Number of connectives : 9739 (3173   ~;4663   |;1194   &)
%                                         ( 145 <=>; 564  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   : 1073 (1073   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2120,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f275,f284,f293,f302,f316,f325,f333,f357,f365,f369,f383,f384,f392,f396,f397,f405,f406,f413,f414,f419,f423,f425,f429,f430,f434,f439,f444,f457,f462,f463,f464,f472,f477,f483,f487,f496,f497,f498,f503,f508,f509,f515,f516,f525,f528,f529,f544,f545,f549,f550,f553,f563,f568,f574,f579,f584,f590,f595,f600,f601,f622,f627,f632,f638,f643,f648,f670,f675,f680,f686,f691,f696,f702,f707,f712,f718,f723,f728,f734,f739,f744,f750,f755,f760,f782,f787,f792,f798,f803,f808,f814,f819,f824,f830,f835,f840,f846,f851,f856,f862,f867,f872,f878,f883,f888,f894,f899,f904,f942,f947,f952,f969,f974,f979,f984,f990,f995,f1000,f1006,f1011,f1016,f1017,f1022,f1027,f1032,f1061,f1070,f1075,f1081,f1093,f1102,f1112,f1129,f1130,f1137,f1153,f1154,f1163,f1169,f1196,f1210,f1225,f1252,f1258,f1271,f1293,f1294,f1301,f1305,f1344,f1361,f1365,f1389,f1390,f1428,f1429,f1440,f1453,f1454,f1517,f1559,f1570,f1572,f1577,f1581,f1594,f1604,f1609,f1619,f1622,f1649,f1654,f1672,f1746,f1764,f1805,f1808,f1836,f1842,f1878,f1881,f1921,f1925,f1957,f1961,f1966,f2001,f2002,f2003,f2004,f2005,f2015,f2023,f2024,f2032,f2043,f2044,f2086,f2087,f2117,f2119]) ).

fof(f2119,plain,
    ( ~ spl0_72
    | ~ spl0_71
    | ~ spl0_35
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2111,f1261,f403,f592,f597]) ).

fof(f597,plain,
    ( spl0_72
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f592,plain,
    ( spl0_71
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f403,plain,
    ( spl0_35
  <=> ! [X17] :
        ( ~ c2_1(X17)
        | ~ c0_1(X17)
        | ~ c1_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1261,plain,
    ( spl0_167
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2111,plain,
    ( ~ c2_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_35
    | ~ spl0_167 ),
    inference(resolution,[],[f404,f1263]) ).

fof(f1263,plain,
    ( c0_1(a13)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f404,plain,
    ( ! [X17] :
        ( ~ c0_1(X17)
        | ~ c2_1(X17)
        | ~ c1_1(X17) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2117,plain,
    ( ~ spl0_155
    | ~ spl0_77
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2109,f629,f403,f624,f1046]) ).

fof(f1046,plain,
    ( spl0_155
  <=> c1_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f624,plain,
    ( spl0_77
  <=> c2_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f629,plain,
    ( spl0_78
  <=> c0_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2109,plain,
    ( ~ c2_1(a73)
    | ~ c1_1(a73)
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(resolution,[],[f404,f631]) ).

fof(f631,plain,
    ( c0_1(a73)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f2087,plain,
    ( spl0_121
    | spl0_123
    | ~ spl0_39
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2085,f1838,f421,f869,f859]) ).

fof(f859,plain,
    ( spl0_121
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f869,plain,
    ( spl0_123
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f421,plain,
    ( spl0_39
  <=> ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c3_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1838,plain,
    ( spl0_182
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2085,plain,
    ( c1_1(a18)
    | c3_1(a18)
    | ~ spl0_39
    | ~ spl0_182 ),
    inference(resolution,[],[f1840,f422]) ).

fof(f422,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c3_1(X34) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1840,plain,
    ( c0_1(a18)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1838]) ).

fof(f2086,plain,
    ( spl0_121
    | spl0_122
    | ~ spl0_27
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2083,f1838,f367,f864,f859]) ).

fof(f864,plain,
    ( spl0_122
  <=> c2_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f367,plain,
    ( spl0_27
  <=> ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5)
        | c3_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2083,plain,
    ( c2_1(a18)
    | c3_1(a18)
    | ~ spl0_27
    | ~ spl0_182 ),
    inference(resolution,[],[f1840,f368]) ).

fof(f368,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5)
        | c3_1(X5) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f2044,plain,
    ( ~ spl0_65
    | spl0_154
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2035,f565,f394,f1037,f560]) ).

fof(f560,plain,
    ( spl0_65
  <=> c2_1(a77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1037,plain,
    ( spl0_154
  <=> c1_1(a77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f394,plain,
    ( spl0_33
  <=> ! [X13] :
        ( ~ c2_1(X13)
        | c1_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f565,plain,
    ( spl0_66
  <=> c0_1(a77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2035,plain,
    ( c1_1(a77)
    | ~ c2_1(a77)
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(resolution,[],[f567,f395]) ).

fof(f395,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f567,plain,
    ( c0_1(a77)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f2043,plain,
    ( ~ spl0_155
    | spl0_76
    | ~ spl0_34
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2041,f629,f399,f619,f1046]) ).

fof(f619,plain,
    ( spl0_76
  <=> c3_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f399,plain,
    ( spl0_34
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2041,plain,
    ( c3_1(a73)
    | ~ c1_1(a73)
    | ~ spl0_34
    | ~ spl0_78 ),
    inference(resolution,[],[f631,f400]) ).

fof(f400,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f2032,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_35
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2030,f581,f403,f571,f576]) ).

fof(f576,plain,
    ( spl0_68
  <=> c1_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f571,plain,
    ( spl0_67
  <=> c2_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f581,plain,
    ( spl0_69
  <=> c0_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2030,plain,
    ( ~ c2_1(a23)
    | ~ c1_1(a23)
    | ~ spl0_35
    | ~ spl0_69 ),
    inference(resolution,[],[f583,f404]) ).

fof(f583,plain,
    ( c0_1(a23)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f2024,plain,
    ( ~ spl0_72
    | spl0_167
    | ~ spl0_48
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2022,f592,f466,f1261,f597]) ).

fof(f466,plain,
    ( spl0_48
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | ~ c1_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2022,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_48
    | ~ spl0_71 ),
    inference(resolution,[],[f594,f467]) ).

fof(f467,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | ~ c1_1(X66) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f594,plain,
    ( c2_1(a13)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f2023,plain,
    ( ~ spl0_70
    | ~ spl0_72
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2021,f592,f493,f597,f587]) ).

fof(f587,plain,
    ( spl0_70
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | ~ c1_1(X75)
        | ~ c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2021,plain,
    ( ~ c1_1(a13)
    | ~ c3_1(a13)
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(resolution,[],[f594,f494]) ).

fof(f494,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | ~ c1_1(X75)
        | ~ c3_1(X75) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f2015,plain,
    ( ~ spl0_120
    | spl0_118
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1680,f848,f466,f843,f853]) ).

fof(f853,plain,
    ( spl0_120
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f843,plain,
    ( spl0_118
  <=> c0_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f848,plain,
    ( spl0_119
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1680,plain,
    ( c0_1(a19)
    | ~ c1_1(a19)
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(resolution,[],[f467,f850]) ).

fof(f850,plain,
    ( c2_1(a19)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2005,plain,
    ( spl0_112
    | spl0_113
    | ~ spl0_63
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1982,f1574,f547,f816,f811]) ).

fof(f811,plain,
    ( spl0_112
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f816,plain,
    ( spl0_113
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f547,plain,
    ( spl0_63
  <=> ! [X128] :
        ( c2_1(X128)
        | c0_1(X128)
        | c1_1(X128) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1574,plain,
    ( spl0_178
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1982,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ spl0_63
    | spl0_178 ),
    inference(resolution,[],[f548,f1575]) ).

fof(f1575,plain,
    ( ~ c2_1(a22)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f548,plain,
    ( ! [X128] :
        ( c2_1(X128)
        | c0_1(X128)
        | c1_1(X128) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f2004,plain,
    ( spl0_164
    | spl0_117
    | ~ spl0_63
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1981,f832,f547,f837,f1193]) ).

fof(f1193,plain,
    ( spl0_164
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f837,plain,
    ( spl0_117
  <=> c0_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f832,plain,
    ( spl0_116
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1981,plain,
    ( c0_1(a20)
    | c1_1(a20)
    | ~ spl0_63
    | spl0_116 ),
    inference(resolution,[],[f548,f834]) ).

fof(f834,plain,
    ( ~ c2_1(a20)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f2003,plain,
    ( spl0_123
    | spl0_182
    | ~ spl0_63
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1980,f864,f547,f1838,f869]) ).

fof(f1980,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_63
    | spl0_122 ),
    inference(resolution,[],[f548,f866]) ).

fof(f866,plain,
    ( ~ c2_1(a18)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f2002,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_63
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1979,f875,f547,f885,f880]) ).

fof(f880,plain,
    ( spl0_125
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f885,plain,
    ( spl0_126
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f875,plain,
    ( spl0_124
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1979,plain,
    ( c0_1(a15)
    | c1_1(a15)
    | ~ spl0_63
    | spl0_124 ),
    inference(resolution,[],[f548,f877]) ).

fof(f877,plain,
    ( ~ c2_1(a15)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f2001,plain,
    ( spl0_174
    | spl0_128
    | ~ spl0_63
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1978,f891,f547,f896,f1437]) ).

fof(f1437,plain,
    ( spl0_174
  <=> c1_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f896,plain,
    ( spl0_128
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f891,plain,
    ( spl0_127
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1978,plain,
    ( c0_1(a14)
    | c1_1(a14)
    | ~ spl0_63
    | spl0_127 ),
    inference(resolution,[],[f548,f893]) ).

fof(f893,plain,
    ( ~ c2_1(a14)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f1966,plain,
    ( spl0_158
    | spl0_95
    | ~ spl0_61
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1951,f715,f537,f720,f1078]) ).

fof(f1078,plain,
    ( spl0_158
  <=> c1_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f720,plain,
    ( spl0_95
  <=> c0_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f537,plain,
    ( spl0_61
  <=> ! [X119] :
        ( c3_1(X119)
        | c0_1(X119)
        | c1_1(X119) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f715,plain,
    ( spl0_94
  <=> c3_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1951,plain,
    ( c0_1(a40)
    | c1_1(a40)
    | ~ spl0_61
    | spl0_94 ),
    inference(resolution,[],[f538,f717]) ).

fof(f717,plain,
    ( ~ c3_1(a40)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f538,plain,
    ( ! [X119] :
        ( c3_1(X119)
        | c0_1(X119)
        | c1_1(X119) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1961,plain,
    ( spl0_123
    | spl0_182
    | ~ spl0_61
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1945,f859,f537,f1838,f869]) ).

fof(f1945,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_61
    | spl0_121 ),
    inference(resolution,[],[f538,f861]) ).

fof(f861,plain,
    ( ~ c3_1(a18)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f1957,plain,
    ( spl0_142
    | spl0_143
    | ~ spl0_61
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1941,f1268,f537,f976,f971]) ).

fof(f971,plain,
    ( spl0_142
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f976,plain,
    ( spl0_143
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1268,plain,
    ( spl0_168
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1941,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ spl0_61
    | spl0_168 ),
    inference(resolution,[],[f538,f1270]) ).

fof(f1270,plain,
    ( ~ c3_1(a5)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f1925,plain,
    ( spl0_158
    | spl0_95
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1920,f725,f532,f720,f1078]) ).

fof(f532,plain,
    ( spl0_60
  <=> ! [X115] :
        ( ~ c2_1(X115)
        | c0_1(X115)
        | c1_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f725,plain,
    ( spl0_96
  <=> c2_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1920,plain,
    ( c0_1(a40)
    | c1_1(a40)
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(resolution,[],[f533,f727]) ).

fof(f727,plain,
    ( c2_1(a40)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f533,plain,
    ( ! [X115] :
        ( ~ c2_1(X115)
        | c0_1(X115)
        | c1_1(X115) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1921,plain,
    ( spl0_142
    | spl0_143
    | ~ spl0_60
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1916,f981,f532,f976,f971]) ).

fof(f981,plain,
    ( spl0_144
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1916,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ spl0_60
    | ~ spl0_144 ),
    inference(resolution,[],[f533,f983]) ).

fof(f983,plain,
    ( c2_1(a5)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f1881,plain,
    ( ~ spl0_158
    | spl0_95
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1687,f725,f466,f720,f1078]) ).

fof(f1687,plain,
    ( c0_1(a40)
    | ~ c1_1(a40)
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(resolution,[],[f467,f727]) ).

fof(f1878,plain,
    ( spl0_112
    | spl0_113
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1869,f821,f518,f816,f811]) ).

fof(f518,plain,
    ( spl0_58
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | c0_1(X98)
        | c1_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f821,plain,
    ( spl0_114
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1869,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(resolution,[],[f519,f823]) ).

fof(f823,plain,
    ( c3_1(a22)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f519,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c0_1(X98)
        | c1_1(X98) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1842,plain,
    ( spl0_116
    | spl0_117
    | ~ spl0_57
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1823,f827,f512,f837,f832]) ).

fof(f512,plain,
    ( spl0_57
  <=> ! [X93] :
        ( c3_1(X93)
        | c0_1(X93)
        | c2_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f827,plain,
    ( spl0_115
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1823,plain,
    ( c0_1(a20)
    | c2_1(a20)
    | ~ spl0_57
    | spl0_115 ),
    inference(resolution,[],[f513,f829]) ).

fof(f829,plain,
    ( ~ c3_1(a20)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f513,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | c0_1(X93)
        | c2_1(X93) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1836,plain,
    ( spl0_124
    | spl0_126
    | ~ spl0_57
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1820,f1188,f512,f885,f875]) ).

fof(f1188,plain,
    ( spl0_163
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1820,plain,
    ( c0_1(a15)
    | c2_1(a15)
    | ~ spl0_57
    | spl0_163 ),
    inference(resolution,[],[f513,f1189]) ).

fof(f1189,plain,
    ( ~ c3_1(a15)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1808,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_56
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1797,f1437,f505,f896,f891]) ).

fof(f505,plain,
    ( spl0_56
  <=> ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1797,plain,
    ( c0_1(a14)
    | c2_1(a14)
    | ~ spl0_56
    | ~ spl0_174 ),
    inference(resolution,[],[f506,f1438]) ).

fof(f1438,plain,
    ( c1_1(a14)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f506,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | c2_1(X88) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1805,plain,
    ( spl0_151
    | spl0_169
    | ~ spl0_56
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1794,f1029,f505,f1287,f1019]) ).

fof(f1019,plain,
    ( spl0_151
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1287,plain,
    ( spl0_169
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1029,plain,
    ( spl0_153
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1794,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ spl0_56
    | ~ spl0_153 ),
    inference(resolution,[],[f506,f1031]) ).

fof(f1031,plain,
    ( c1_1(a1)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1764,plain,
    ( ~ spl0_114
    | spl0_113
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1757,f1574,f446,f816,f821]) ).

fof(f446,plain,
    ( spl0_44
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c2_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1757,plain,
    ( c0_1(a22)
    | ~ c3_1(a22)
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(resolution,[],[f447,f1576]) ).

fof(f1576,plain,
    ( c2_1(a22)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f447,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | ~ c3_1(X54) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1746,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1733,f901,f500,f896,f891]) ).

fof(f500,plain,
    ( spl0_55
  <=> ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c2_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f901,plain,
    ( spl0_129
  <=> c3_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1733,plain,
    ( c0_1(a14)
    | c2_1(a14)
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(resolution,[],[f501,f903]) ).

fof(f903,plain,
    ( c3_1(a14)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f501,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c2_1(X85) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1672,plain,
    ( ~ spl0_77
    | spl0_155
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1670,f629,f394,f1046,f624]) ).

fof(f1670,plain,
    ( c1_1(a73)
    | ~ c2_1(a73)
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(resolution,[],[f395,f631]) ).

fof(f1654,plain,
    ( spl0_127
    | spl0_174
    | ~ spl0_40
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1653,f901,f427,f1437,f891]) ).

fof(f427,plain,
    ( spl0_40
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1653,plain,
    ( c1_1(a14)
    | c2_1(a14)
    | ~ spl0_40
    | ~ spl0_129 ),
    inference(resolution,[],[f903,f428]) ).

fof(f428,plain,
    ( ! [X39] :
        ( ~ c3_1(X39)
        | c1_1(X39)
        | c2_1(X39) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1649,plain,
    ( ~ spl0_77
    | spl0_76
    | ~ spl0_22
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1648,f629,f347,f619,f624]) ).

fof(f347,plain,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1648,plain,
    ( c3_1(a73)
    | ~ c2_1(a73)
    | ~ spl0_22
    | ~ spl0_78 ),
    inference(resolution,[],[f348,f631]) ).

fof(f348,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1622,plain,
    ( ~ spl0_114
    | spl0_112
    | ~ spl0_31
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1621,f1574,f386,f811,f821]) ).

fof(f386,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c1_1(X12)
        | ~ c2_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1621,plain,
    ( c1_1(a22)
    | ~ c3_1(a22)
    | ~ spl0_31
    | ~ spl0_178 ),
    inference(resolution,[],[f1576,f387]) ).

fof(f387,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | c1_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f1619,plain,
    ( ~ spl0_72
    | ~ spl0_70
    | ~ spl0_18
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1616,f1261,f331,f587,f597]) ).

fof(f331,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1616,plain,
    ( ~ c3_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_18
    | ~ spl0_167 ),
    inference(resolution,[],[f1263,f332]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1609,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_40
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1607,f1150,f427,f1008,f1003]) ).

fof(f1003,plain,
    ( spl0_148
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1008,plain,
    ( spl0_149
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1150,plain,
    ( spl0_162
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1607,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ spl0_40
    | ~ spl0_162 ),
    inference(resolution,[],[f1151,f428]) ).

fof(f1151,plain,
    ( c3_1(a2)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f1604,plain,
    ( ~ spl0_162
    | spl0_148
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1603,f1013,f411,f1003,f1150]) ).

fof(f411,plain,
    ( spl0_37
  <=> ! [X24] :
        ( ~ c3_1(X24)
        | c2_1(X24)
        | ~ c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1013,plain,
    ( spl0_150
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1603,plain,
    ( c2_1(a2)
    | ~ c3_1(a2)
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(resolution,[],[f1015,f412]) ).

fof(f412,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | c2_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1015,plain,
    ( c0_1(a2)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1594,plain,
    ( spl0_100
    | spl0_165
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1483,f757,f367,f1207,f747]) ).

fof(f747,plain,
    ( spl0_100
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1207,plain,
    ( spl0_165
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f757,plain,
    ( spl0_102
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1483,plain,
    ( c2_1(a33)
    | c3_1(a33)
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(resolution,[],[f368,f759]) ).

fof(f759,plain,
    ( c0_1(a33)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1581,plain,
    ( ~ spl0_72
    | spl0_167
    | ~ spl0_46
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1336,f587,f455,f1261,f597]) ).

fof(f455,plain,
    ( spl0_46
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1336,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_46
    | ~ spl0_70 ),
    inference(resolution,[],[f456,f589]) ).

fof(f589,plain,
    ( c3_1(a13)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f456,plain,
    ( ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1577,plain,
    ( spl0_178
    | spl0_112
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1565,f821,f427,f811,f1574]) ).

fof(f1565,plain,
    ( c1_1(a22)
    | c2_1(a22)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f428,f823]) ).

fof(f1572,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_40
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1564,f1188,f427,f880,f875]) ).

fof(f1564,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ spl0_40
    | ~ spl0_163 ),
    inference(resolution,[],[f428,f1190]) ).

fof(f1190,plain,
    ( c3_1(a15)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1570,plain,
    ( spl0_145
    | spl0_146
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1562,f997,f427,f992,f987]) ).

fof(f987,plain,
    ( spl0_145
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f992,plain,
    ( spl0_146
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f997,plain,
    ( spl0_147
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1562,plain,
    ( c1_1(a3)
    | c2_1(a3)
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(resolution,[],[f428,f999]) ).

fof(f999,plain,
    ( c3_1(a3)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1559,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1553,f757,f421,f752,f747]) ).

fof(f752,plain,
    ( spl0_101
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1553,plain,
    ( c1_1(a33)
    | c3_1(a33)
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(resolution,[],[f422,f759]) ).

fof(f1517,plain,
    ( spl0_76
    | spl0_155
    | ~ spl0_36
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1511,f624,f408,f1046,f619]) ).

fof(f408,plain,
    ( spl0_36
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1511,plain,
    ( c1_1(a73)
    | c3_1(a73)
    | ~ spl0_36
    | ~ spl0_77 ),
    inference(resolution,[],[f409,f626]) ).

fof(f626,plain,
    ( c2_1(a73)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f409,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | c3_1(X25) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f1454,plain,
    ( spl0_173
    | spl0_109
    | ~ spl0_26
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1446,f800,f363,f795,f1425]) ).

fof(f1425,plain,
    ( spl0_173
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f795,plain,
    ( spl0_109
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f363,plain,
    ( spl0_26
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c2_1(X4)
        | c3_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f800,plain,
    ( spl0_110
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1446,plain,
    ( c2_1(a25)
    | c3_1(a25)
    | ~ spl0_26
    | ~ spl0_110 ),
    inference(resolution,[],[f364,f802]) ).

fof(f802,plain,
    ( c1_1(a25)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f364,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c2_1(X4)
        | c3_1(X4) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f1453,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_26
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1444,f949,f363,f944,f939]) ).

fof(f939,plain,
    ( spl0_136
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f944,plain,
    ( spl0_137
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f949,plain,
    ( spl0_138
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1444,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_26
    | ~ spl0_138 ),
    inference(resolution,[],[f364,f951]) ).

fof(f951,plain,
    ( c1_1(a8)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f1440,plain,
    ( ~ spl0_174
    | spl0_128
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1435,f901,f455,f896,f1437]) ).

fof(f1435,plain,
    ( c0_1(a14)
    | ~ c1_1(a14)
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(resolution,[],[f903,f456]) ).

fof(f1429,plain,
    ( ~ spl0_110
    | spl0_109
    | ~ spl0_25
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1421,f805,f359,f795,f800]) ).

fof(f359,plain,
    ( spl0_25
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f805,plain,
    ( spl0_111
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1421,plain,
    ( c2_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_25
    | ~ spl0_111 ),
    inference(resolution,[],[f807,f360]) ).

fof(f360,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f807,plain,
    ( c0_1(a25)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f1428,plain,
    ( ~ spl0_110
    | ~ spl0_173
    | ~ spl0_18
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1419,f805,f331,f1425,f800]) ).

fof(f1419,plain,
    ( ~ c3_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_18
    | ~ spl0_111 ),
    inference(resolution,[],[f807,f332]) ).

fof(f1390,plain,
    ( ~ spl0_153
    | spl0_151
    | ~ spl0_25
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1384,f1287,f359,f1019,f1029]) ).

fof(f1384,plain,
    ( c2_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_25
    | ~ spl0_169 ),
    inference(resolution,[],[f1289,f360]) ).

fof(f1289,plain,
    ( c0_1(a1)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f1389,plain,
    ( ~ spl0_153
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1382,f1287,f331,f1024,f1029]) ).

fof(f1024,plain,
    ( spl0_152
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1382,plain,
    ( ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(resolution,[],[f1289,f332]) ).

fof(f1365,plain,
    ( ~ spl0_153
    | spl0_169
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1331,f1024,f455,f1287,f1029]) ).

fof(f1331,plain,
    ( c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(resolution,[],[f456,f1026]) ).

fof(f1026,plain,
    ( c3_1(a1)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1361,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_53
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1355,f677,f490,f672,f667]) ).

fof(f667,plain,
    ( spl0_85
  <=> c3_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f672,plain,
    ( spl0_86
  <=> c0_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f490,plain,
    ( spl0_53
  <=> ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c3_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f677,plain,
    ( spl0_87
  <=> c1_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1355,plain,
    ( c0_1(a48)
    | c3_1(a48)
    | ~ spl0_53
    | ~ spl0_87 ),
    inference(resolution,[],[f491,f679]) ).

fof(f679,plain,
    ( c1_1(a48)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f491,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c3_1(X76) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f1344,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_52
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1341,f725,f485,f720,f715]) ).

fof(f485,plain,
    ( spl0_52
  <=> ! [X71] :
        ( ~ c2_1(X71)
        | c0_1(X71)
        | c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1341,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | ~ spl0_52
    | ~ spl0_96 ),
    inference(resolution,[],[f486,f727]) ).

fof(f486,plain,
    ( ! [X71] :
        ( ~ c2_1(X71)
        | c0_1(X71)
        | c3_1(X71) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1305,plain,
    ( spl0_162
    | spl0_148
    | ~ spl0_27
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1302,f1013,f367,f1003,f1150]) ).

fof(f1302,plain,
    ( c2_1(a2)
    | c3_1(a2)
    | ~ spl0_27
    | ~ spl0_150 ),
    inference(resolution,[],[f368,f1015]) ).

fof(f1301,plain,
    ( ~ spl0_107
    | spl0_106
    | ~ spl0_31
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1299,f789,f386,f779,f784]) ).

fof(f784,plain,
    ( spl0_107
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f779,plain,
    ( spl0_106
  <=> c1_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f789,plain,
    ( spl0_108
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1299,plain,
    ( c1_1(a28)
    | ~ c3_1(a28)
    | ~ spl0_31
    | ~ spl0_108 ),
    inference(resolution,[],[f791,f387]) ).

fof(f791,plain,
    ( c2_1(a28)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1294,plain,
    ( ~ spl0_81
    | spl0_79
    | ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1281,f640,f455,f635,f645]) ).

fof(f645,plain,
    ( spl0_81
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f635,plain,
    ( spl0_79
  <=> c0_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f640,plain,
    ( spl0_80
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1281,plain,
    ( c0_1(a64)
    | ~ c1_1(a64)
    | ~ spl0_46
    | ~ spl0_80 ),
    inference(resolution,[],[f456,f642]) ).

fof(f642,plain,
    ( c3_1(a64)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1293,plain,
    ( ~ spl0_160
    | spl0_88
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1280,f688,f455,f683,f1109]) ).

fof(f1109,plain,
    ( spl0_160
  <=> c1_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f683,plain,
    ( spl0_88
  <=> c0_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f688,plain,
    ( spl0_89
  <=> c3_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1280,plain,
    ( c0_1(a47)
    | ~ c1_1(a47)
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(resolution,[],[f456,f690]) ).

fof(f690,plain,
    ( c3_1(a47)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f1271,plain,
    ( ~ spl0_168
    | spl0_142
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1265,f981,f386,f971,f1268]) ).

fof(f1265,plain,
    ( c1_1(a5)
    | ~ c3_1(a5)
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(resolution,[],[f983,f387]) ).

fof(f1258,plain,
    ( ~ spl0_89
    | spl0_88
    | ~ spl0_44
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1254,f693,f446,f683,f688]) ).

fof(f693,plain,
    ( spl0_90
  <=> c2_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1254,plain,
    ( c0_1(a47)
    | ~ c3_1(a47)
    | ~ spl0_44
    | ~ spl0_90 ),
    inference(resolution,[],[f447,f695]) ).

fof(f695,plain,
    ( c2_1(a47)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f1252,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1244,f1193,f363,f832,f827]) ).

fof(f1244,plain,
    ( c2_1(a20)
    | c3_1(a20)
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(resolution,[],[f364,f1195]) ).

fof(f1195,plain,
    ( c1_1(a20)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1225,plain,
    ( ~ spl0_154
    | ~ spl0_65
    | ~ spl0_35
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1143,f565,f403,f560,f1037]) ).

fof(f1143,plain,
    ( ~ c2_1(a77)
    | ~ c1_1(a77)
    | ~ spl0_35
    | ~ spl0_66 ),
    inference(resolution,[],[f404,f567]) ).

fof(f1210,plain,
    ( ~ spl0_165
    | spl0_101
    | ~ spl0_33
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1201,f757,f394,f752,f1207]) ).

fof(f1201,plain,
    ( c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_33
    | ~ spl0_102 ),
    inference(resolution,[],[f759,f395]) ).

fof(f1196,plain,
    ( spl0_115
    | spl0_164
    | ~ spl0_43
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1179,f832,f441,f1193,f827]) ).

fof(f441,plain,
    ( spl0_43
  <=> ! [X51] :
        ( c3_1(X51)
        | c1_1(X51)
        | c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1179,plain,
    ( c1_1(a20)
    | c3_1(a20)
    | ~ spl0_43
    | spl0_116 ),
    inference(resolution,[],[f442,f834]) ).

fof(f442,plain,
    ( ! [X51] :
        ( c2_1(X51)
        | c1_1(X51)
        | c3_1(X51) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1169,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1165,f1013,f432,f1008,f1003]) ).

fof(f432,plain,
    ( spl0_41
  <=> ! [X44] :
        ( ~ c0_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1165,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(resolution,[],[f433,f1015]) ).

fof(f433,plain,
    ( ! [X44] :
        ( ~ c0_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f1163,plain,
    ( spl0_162
    | spl0_149
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1159,f1013,f421,f1008,f1150]) ).

fof(f1159,plain,
    ( c1_1(a2)
    | c3_1(a2)
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(resolution,[],[f422,f1015]) ).

fof(f1154,plain,
    ( ~ spl0_98
    | spl0_97
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1145,f741,f417,f731,f736]) ).

fof(f736,plain,
    ( spl0_98
  <=> c3_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f731,plain,
    ( spl0_97
  <=> c1_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f417,plain,
    ( spl0_38
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f741,plain,
    ( spl0_99
  <=> c0_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1145,plain,
    ( c1_1(a39)
    | ~ c3_1(a39)
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(resolution,[],[f418,f743]) ).

fof(f743,plain,
    ( c0_1(a39)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f418,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | ~ c3_1(X32) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1153,plain,
    ( ~ spl0_162
    | spl0_149
    | ~ spl0_38
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1144,f1013,f417,f1008,f1150]) ).

fof(f1144,plain,
    ( c1_1(a2)
    | ~ c3_1(a2)
    | ~ spl0_38
    | ~ spl0_150 ),
    inference(resolution,[],[f418,f1015]) ).

fof(f1137,plain,
    ( spl0_94
    | spl0_158
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1132,f725,f408,f1078,f715]) ).

fof(f1132,plain,
    ( c1_1(a40)
    | c3_1(a40)
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(resolution,[],[f409,f727]) ).

fof(f1130,plain,
    ( ~ spl0_68
    | spl0_159
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1127,f581,f399,f1088,f576]) ).

fof(f1088,plain,
    ( spl0_159
  <=> c3_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1127,plain,
    ( c3_1(a23)
    | ~ c1_1(a23)
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(resolution,[],[f400,f583]) ).

fof(f1129,plain,
    ( ~ spl0_92
    | spl0_91
    | ~ spl0_34
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1126,f709,f399,f699,f704]) ).

fof(f704,plain,
    ( spl0_92
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f699,plain,
    ( spl0_91
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f709,plain,
    ( spl0_93
  <=> c0_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1126,plain,
    ( c3_1(a43)
    | ~ c1_1(a43)
    | ~ spl0_34
    | ~ spl0_93 ),
    inference(resolution,[],[f400,f711]) ).

fof(f711,plain,
    ( c0_1(a43)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1112,plain,
    ( ~ spl0_89
    | spl0_160
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1104,f693,f386,f1109,f688]) ).

fof(f1104,plain,
    ( c1_1(a47)
    | ~ c3_1(a47)
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(resolution,[],[f387,f695]) ).

fof(f1102,plain,
    ( ~ spl0_87
    | spl0_85
    | ~ spl0_19
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1101,f1072,f335,f667,f677]) ).

fof(f335,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1072,plain,
    ( spl0_157
  <=> c2_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1101,plain,
    ( c3_1(a48)
    | ~ c1_1(a48)
    | ~ spl0_19
    | ~ spl0_157 ),
    inference(resolution,[],[f1074,f336]) ).

fof(f336,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f1074,plain,
    ( c2_1(a48)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1093,plain,
    ( ~ spl0_68
    | ~ spl0_159
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1092,f581,f331,f1088,f576]) ).

fof(f1092,plain,
    ( ~ c3_1(a23)
    | ~ c1_1(a23)
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(resolution,[],[f583,f332]) ).

fof(f1081,plain,
    ( ~ spl0_158
    | spl0_94
    | ~ spl0_19
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1076,f725,f335,f715,f1078]) ).

fof(f1076,plain,
    ( c3_1(a40)
    | ~ c1_1(a40)
    | ~ spl0_19
    | ~ spl0_96 ),
    inference(resolution,[],[f727,f336]) ).

fof(f1075,plain,
    ( spl0_85
    | spl0_157
    | ~ spl0_26
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1067,f677,f363,f1072,f667]) ).

fof(f1067,plain,
    ( c2_1(a48)
    | c3_1(a48)
    | ~ spl0_26
    | ~ spl0_87 ),
    inference(resolution,[],[f364,f679]) ).

fof(f1070,plain,
    ( spl0_91
    | spl0_156
    | ~ spl0_26
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1066,f704,f363,f1058,f699]) ).

fof(f1058,plain,
    ( spl0_156
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1066,plain,
    ( c2_1(a43)
    | c3_1(a43)
    | ~ spl0_26
    | ~ spl0_92 ),
    inference(resolution,[],[f364,f706]) ).

fof(f706,plain,
    ( c1_1(a43)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f1061,plain,
    ( ~ spl0_156
    | spl0_91
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1056,f709,f347,f699,f1058]) ).

fof(f1056,plain,
    ( c3_1(a43)
    | ~ c2_1(a43)
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(resolution,[],[f348,f711]) ).

fof(f1032,plain,
    ( ~ spl0_4
    | spl0_153 ),
    inference(avatar_split_clause,[],[f8,f1029,f268]) ).

fof(f268,plain,
    ( spl0_4
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f8,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ~ c0_1(X5)
          | c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X59] :
          ( ~ c0_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( c3_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c1_1(X120)
          | c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c2_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c3_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X127] :
          ( ~ c1_1(X127)
          | c3_1(X127)
          | c2_1(X127)
          | ~ ndr1_0 )
      | ! [X128] :
          ( c2_1(X128)
          | c1_1(X128)
          | c0_1(X128)
          | ~ ndr1_0 ) )
    & ( ! [X129] :
          ( ~ c3_1(X129)
          | ~ c2_1(X129)
          | ~ c1_1(X129)
          | ~ ndr1_0 )
      | ! [X130] :
          ( ~ c3_1(X130)
          | ~ c2_1(X130)
          | c1_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c1_1(X132)
          | c2_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c3_1(X133)
          | ~ c0_1(X133)
          | c1_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ! [X135] :
          ( ~ c1_1(X135)
          | c3_1(X135)
          | c2_1(X135)
          | ~ ndr1_0 )
      | ! [X136] :
          ( c3_1(X136)
          | c2_1(X136)
          | c1_1(X136)
          | ~ ndr1_0 )
      | ! [X137] :
          ( c2_1(X137)
          | c1_1(X137)
          | c0_1(X137)
          | ~ ndr1_0 ) )
    & ( ! [X138] :
          ( ~ c3_1(X138)
          | ~ c0_1(X138)
          | c1_1(X138)
          | ~ ndr1_0 )
      | ! [X139] :
          ( ~ c3_1(X139)
          | ~ c1_1(X139)
          | c0_1(X139)
          | ~ ndr1_0 )
      | ! [X140] :
          ( c2_1(X140)
          | c1_1(X140)
          | c0_1(X140)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ~ c0_1(X5)
          | c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X59] :
          ( ~ c0_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( c3_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c1_1(X120)
          | c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c2_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c3_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X127] :
          ( ~ c1_1(X127)
          | c3_1(X127)
          | c2_1(X127)
          | ~ ndr1_0 )
      | ! [X128] :
          ( c2_1(X128)
          | c1_1(X128)
          | c0_1(X128)
          | ~ ndr1_0 ) )
    & ( ! [X129] :
          ( ~ c3_1(X129)
          | ~ c2_1(X129)
          | ~ c1_1(X129)
          | ~ ndr1_0 )
      | ! [X130] :
          ( ~ c3_1(X130)
          | ~ c2_1(X130)
          | c1_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c1_1(X132)
          | c2_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c3_1(X133)
          | ~ c0_1(X133)
          | c1_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ! [X135] :
          ( ~ c1_1(X135)
          | c3_1(X135)
          | c2_1(X135)
          | ~ ndr1_0 )
      | ! [X136] :
          ( c3_1(X136)
          | c2_1(X136)
          | c1_1(X136)
          | ~ ndr1_0 )
      | ! [X137] :
          ( c2_1(X137)
          | c1_1(X137)
          | c0_1(X137)
          | ~ ndr1_0 ) )
    & ( ! [X138] :
          ( ~ c3_1(X138)
          | ~ c0_1(X138)
          | c1_1(X138)
          | ~ ndr1_0 )
      | ! [X139] :
          ( ~ c3_1(X139)
          | ~ c1_1(X139)
          | c0_1(X139)
          | ~ ndr1_0 )
      | ! [X140] :
          ( c2_1(X140)
          | c1_1(X140)
          | c0_1(X140)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c2_1(X3) ) ) )
    & ( hskp19
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | c3_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | c3_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp13
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp20
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp8
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c0_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp12
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp22
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp8
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c0_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp19
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c3_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp3
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp28
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp13
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c1_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp14
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp3
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp28
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp2
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | c3_1(X101)
            | c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | c3_1(X107)
            | c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp5
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c1_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c1_1(X120)
            | c2_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c3_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp1
      | ! [X122] :
          ( ndr1_0
         => ( ~ c2_1(X122)
            | ~ c1_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c3_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | c3_1(X124)
            | c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( ~ c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c3_1(X126)
            | c1_1(X126)
            | c0_1(X126) ) ) )
    & ( hskp0
      | ! [X127] :
          ( ndr1_0
         => ( ~ c1_1(X127)
            | c3_1(X127)
            | c2_1(X127) ) )
      | ! [X128] :
          ( ndr1_0
         => ( c2_1(X128)
            | c1_1(X128)
            | c0_1(X128) ) ) )
    & ( ! [X129] :
          ( ndr1_0
         => ( ~ c3_1(X129)
            | ~ c2_1(X129)
            | ~ c1_1(X129) ) )
      | ! [X130] :
          ( ndr1_0
         => ( ~ c3_1(X130)
            | ~ c2_1(X130)
            | c1_1(X130) ) )
      | ! [X131] :
          ( ndr1_0
         => ( c2_1(X131)
            | c1_1(X131)
            | c0_1(X131) ) ) )
    & ( ! [X132] :
          ( ndr1_0
         => ( ~ c3_1(X132)
            | ~ c1_1(X132)
            | c2_1(X132) ) )
      | ! [X133] :
          ( ndr1_0
         => ( ~ c3_1(X133)
            | ~ c0_1(X133)
            | c1_1(X133) ) )
      | ! [X134] :
          ( ndr1_0
         => ( c2_1(X134)
            | c1_1(X134)
            | c0_1(X134) ) ) )
    & ( ! [X135] :
          ( ndr1_0
         => ( ~ c1_1(X135)
            | c3_1(X135)
            | c2_1(X135) ) )
      | ! [X136] :
          ( ndr1_0
         => ( c3_1(X136)
            | c2_1(X136)
            | c1_1(X136) ) )
      | ! [X137] :
          ( ndr1_0
         => ( c2_1(X137)
            | c1_1(X137)
            | c0_1(X137) ) ) )
    & ( ! [X138] :
          ( ndr1_0
         => ( ~ c3_1(X138)
            | ~ c0_1(X138)
            | c1_1(X138) ) )
      | ! [X139] :
          ( ndr1_0
         => ( ~ c3_1(X139)
            | ~ c1_1(X139)
            | c0_1(X139) ) )
      | ! [X140] :
          ( ndr1_0
         => ( c2_1(X140)
            | c1_1(X140)
            | c0_1(X140) ) ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp12
          | hskp21
          | hskp11 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp9
          | hskp27 )
        & ( hskp19
          | hskp22
          | hskp17 )
        & ( hskp4
          | hskp27
          | hskp1 )
        & ( hskp9
          | hskp22
          | hskp25 )
        & ( hskp19
          | hskp24
          | hskp29 )
        & ( hskp12
          | hskp20
          | hskp14 )
        & ( hskp25
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp2
          | hskp6
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp18
          | hskp28
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp6
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp19
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp22
          | hskp24
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp23
          | hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp13
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp20
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp8
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) ) )
        & ( hskp21
          | hskp11
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp19
          | hskp18
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp12
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp9
          | hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp17
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp22
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp8
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp12
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp2
          | hskp3
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp19
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | hskp13
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp5
          | hskp17
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | hskp15
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp13
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp14
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp13
          | hskp0
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp10
          | hskp1
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp9
          | hskp8
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp27
          | hskp1
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp7
          | hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp2
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp5
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp4
          | hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp3
          | hskp26
          | ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | c2_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c3_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | c3_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c3_1(X126)
                | c1_1(X126)
                | c0_1(X126) ) ) )
        & ( hskp0
          | ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | c3_1(X127)
                | c2_1(X127) ) )
          | ! [X128] :
              ( ndr1_0
             => ( c2_1(X128)
                | c1_1(X128)
                | c0_1(X128) ) ) )
        & ( ! [X129] :
              ( ndr1_0
             => ( ~ c3_1(X129)
                | ~ c2_1(X129)
                | ~ c1_1(X129) ) )
          | ! [X130] :
              ( ndr1_0
             => ( ~ c3_1(X130)
                | ~ c2_1(X130)
                | c1_1(X130) ) )
          | ! [X131] :
              ( ndr1_0
             => ( c2_1(X131)
                | c1_1(X131)
                | c0_1(X131) ) ) )
        & ( ! [X132] :
              ( ndr1_0
             => ( ~ c3_1(X132)
                | ~ c1_1(X132)
                | c2_1(X132) ) )
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c0_1(X133)
                | c1_1(X133) ) )
          | ! [X134] :
              ( ndr1_0
             => ( c2_1(X134)
                | c1_1(X134)
                | c0_1(X134) ) ) )
        & ( ! [X135] :
              ( ndr1_0
             => ( ~ c1_1(X135)
                | c3_1(X135)
                | c2_1(X135) ) )
          | ! [X136] :
              ( ndr1_0
             => ( c3_1(X136)
                | c2_1(X136)
                | c1_1(X136) ) )
          | ! [X137] :
              ( ndr1_0
             => ( c2_1(X137)
                | c1_1(X137)
                | c0_1(X137) ) ) )
        & ( ! [X138] :
              ( ndr1_0
             => ( ~ c3_1(X138)
                | ~ c0_1(X138)
                | c1_1(X138) ) )
          | ! [X139] :
              ( ndr1_0
             => ( ~ c3_1(X139)
                | ~ c1_1(X139)
                | c0_1(X139) ) )
          | ! [X140] :
              ( ndr1_0
             => ( c2_1(X140)
                | c1_1(X140)
                | c0_1(X140) ) ) )
        & ( ( c3_1(a77)
            & c2_1(a77)
            & c0_1(a77)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a23)
            & c1_1(a23)
            & c0_1(a23)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a4)
            & c1_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a73)
            & c2_1(a73)
            & c0_1(a73)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a63)
            & ~ c1_1(a63)
            & c2_1(a63)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a48)
            & ~ c0_1(a48)
            & c1_1(a48)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a47)
            & c3_1(a47)
            & c2_1(a47)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a43)
            & c1_1(a43)
            & c0_1(a43)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a40)
            & ~ c0_1(a40)
            & c2_1(a40)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a39)
            & c3_1(a39)
            & c0_1(a39)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a33)
            & ~ c1_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a22)
            & ~ c0_1(a22)
            & c3_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c2_1(a20)
            & ~ c0_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a19)
            & c2_1(a19)
            & c1_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c2_1(a18)
            & ~ c1_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & ~ c0_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c3_1(a14)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a11)
            & ~ c0_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a10)
            & c3_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a7)
            & ~ c1_1(a7)
            & ~ c0_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & ~ c1_1(a3)
            & c3_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & ~ c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & c3_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp12
          | hskp21
          | hskp11 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp9
          | hskp27 )
        & ( hskp19
          | hskp22
          | hskp17 )
        & ( hskp4
          | hskp27
          | hskp1 )
        & ( hskp9
          | hskp22
          | hskp25 )
        & ( hskp19
          | hskp24
          | hskp29 )
        & ( hskp12
          | hskp20
          | hskp14 )
        & ( hskp25
          | ! [X140] :
              ( ndr1_0
             => ( ~ c3_1(X140)
                | ~ c1_1(X140)
                | ~ c0_1(X140) ) ) )
        & ( hskp2
          | hskp6
          | ! [X139] :
              ( ndr1_0
             => ( ~ c2_1(X139)
                | ~ c1_1(X139)
                | c3_1(X139) ) ) )
        & ( hskp18
          | hskp28
          | ! [X138] :
              ( ndr1_0
             => ( ~ c2_1(X138)
                | ~ c0_1(X138)
                | c3_1(X138) ) ) )
        & ( hskp6
          | hskp20
          | ! [X137] :
              ( ndr1_0
             => ( ~ c1_1(X137)
                | ~ c0_1(X137)
                | c2_1(X137) ) ) )
        & ( hskp19
          | ! [X136] :
              ( ndr1_0
             => ( ~ c1_1(X136)
                | c3_1(X136)
                | c2_1(X136) ) ) )
        & ( hskp22
          | hskp24
          | ! [X135] :
              ( ndr1_0
             => ( ~ c0_1(X135)
                | c3_1(X135)
                | c2_1(X135) ) ) )
        & ( hskp23
          | hskp26
          | ! [X134] :
              ( ndr1_0
             => ( ~ c0_1(X134)
                | c3_1(X134)
                | c2_1(X134) ) ) )
        & ( hskp13
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c1_1(X133)
                | ~ c0_1(X133) ) )
          | ! [X132] :
              ( ndr1_0
             => ( ~ c0_1(X132)
                | c3_1(X132)
                | c2_1(X132) ) ) )
        & ( hskp20
          | ! [X131] :
              ( ndr1_0
             => ( ~ c2_1(X131)
                | ~ c1_1(X131)
                | c3_1(X131) ) )
          | ! [X130] :
              ( ndr1_0
             => ( ~ c0_1(X130)
                | c3_1(X130)
                | c2_1(X130) ) ) )
        & ( hskp8
          | ! [X129] :
              ( ndr1_0
             => ( ~ c2_1(X129)
                | ~ c0_1(X129)
                | c3_1(X129) ) )
          | ! [X128] :
              ( ndr1_0
             => ( ~ c3_1(X128)
                | ~ c2_1(X128)
                | c1_1(X128) ) ) )
        & ( hskp21
          | hskp11
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c0_1(X127)
                | c1_1(X127) ) ) )
        & ( hskp19
          | hskp18
          | ! [X126] :
              ( ndr1_0
             => ( ~ c2_1(X126)
                | ~ c0_1(X126)
                | c1_1(X126) ) ) )
        & ( hskp12
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c0_1(X125)
                | c3_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c0_1(X124)
                | c1_1(X124) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c1_1(X122) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c0_1(X121)
                | c1_1(X121) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c1_1(X118) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c1_1(X115) ) ) )
        & ( hskp1
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c3_1(X113)
                | c1_1(X113) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c1_1(X110) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp9
          | hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp17
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp22
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c2_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp20
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | hskp3
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp19
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp15
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp5
          | hskp17
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp28
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp3
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp28
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp12
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp10
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp9
          | hskp8
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp2
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp5
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp4
          | hskp0
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp3
          | hskp26
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp2
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp0
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a77)
            & c2_1(a77)
            & c0_1(a77)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a23)
            & c1_1(a23)
            & c0_1(a23)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a4)
            & c1_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a73)
            & c2_1(a73)
            & c0_1(a73)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a63)
            & ~ c1_1(a63)
            & c2_1(a63)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a48)
            & ~ c0_1(a48)
            & c1_1(a48)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a47)
            & c3_1(a47)
            & c2_1(a47)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a43)
            & c1_1(a43)
            & c0_1(a43)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a40)
            & ~ c0_1(a40)
            & c2_1(a40)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a39)
            & c3_1(a39)
            & c0_1(a39)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a33)
            & ~ c1_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a22)
            & ~ c0_1(a22)
            & c3_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c2_1(a20)
            & ~ c0_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a19)
            & c2_1(a19)
            & c1_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c2_1(a18)
            & ~ c1_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & ~ c0_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c3_1(a14)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a11)
            & ~ c0_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a10)
            & c3_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a7)
            & ~ c1_1(a7)
            & ~ c0_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & ~ c1_1(a3)
            & c3_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & ~ c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & c3_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp12
        | hskp21
        | hskp11 )
      & ( hskp22
        | hskp0
        | hskp11 )
      & ( hskp9
        | hskp27 )
      & ( hskp19
        | hskp22
        | hskp17 )
      & ( hskp4
        | hskp27
        | hskp1 )
      & ( hskp9
        | hskp22
        | hskp25 )
      & ( hskp19
        | hskp24
        | hskp29 )
      & ( hskp12
        | hskp20
        | hskp14 )
      & ( hskp25
        | ! [X140] :
            ( ndr1_0
           => ( ~ c3_1(X140)
              | ~ c1_1(X140)
              | ~ c0_1(X140) ) ) )
      & ( hskp2
        | hskp6
        | ! [X139] :
            ( ndr1_0
           => ( ~ c2_1(X139)
              | ~ c1_1(X139)
              | c3_1(X139) ) ) )
      & ( hskp18
        | hskp28
        | ! [X138] :
            ( ndr1_0
           => ( ~ c2_1(X138)
              | ~ c0_1(X138)
              | c3_1(X138) ) ) )
      & ( hskp6
        | hskp20
        | ! [X137] :
            ( ndr1_0
           => ( ~ c1_1(X137)
              | ~ c0_1(X137)
              | c2_1(X137) ) ) )
      & ( hskp19
        | ! [X136] :
            ( ndr1_0
           => ( ~ c1_1(X136)
              | c3_1(X136)
              | c2_1(X136) ) ) )
      & ( hskp22
        | hskp24
        | ! [X135] :
            ( ndr1_0
           => ( ~ c0_1(X135)
              | c3_1(X135)
              | c2_1(X135) ) ) )
      & ( hskp23
        | hskp26
        | ! [X134] :
            ( ndr1_0
           => ( ~ c0_1(X134)
              | c3_1(X134)
              | c2_1(X134) ) ) )
      & ( hskp13
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c1_1(X133)
              | ~ c0_1(X133) ) )
        | ! [X132] :
            ( ndr1_0
           => ( ~ c0_1(X132)
              | c3_1(X132)
              | c2_1(X132) ) ) )
      & ( hskp20
        | ! [X131] :
            ( ndr1_0
           => ( ~ c2_1(X131)
              | ~ c1_1(X131)
              | c3_1(X131) ) )
        | ! [X130] :
            ( ndr1_0
           => ( ~ c0_1(X130)
              | c3_1(X130)
              | c2_1(X130) ) ) )
      & ( hskp8
        | ! [X129] :
            ( ndr1_0
           => ( ~ c2_1(X129)
              | ~ c0_1(X129)
              | c3_1(X129) ) )
        | ! [X128] :
            ( ndr1_0
           => ( ~ c3_1(X128)
              | ~ c2_1(X128)
              | c1_1(X128) ) ) )
      & ( hskp21
        | hskp11
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c0_1(X127)
              | c1_1(X127) ) ) )
      & ( hskp19
        | hskp18
        | ! [X126] :
            ( ndr1_0
           => ( ~ c2_1(X126)
              | ~ c0_1(X126)
              | c1_1(X126) ) ) )
      & ( hskp12
        | ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c0_1(X125)
              | c3_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c0_1(X124)
              | c1_1(X124) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | c1_1(X122) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c0_1(X121)
              | c1_1(X121) ) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c1_1(X118) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | c3_1(X115)
              | c1_1(X115) ) ) )
      & ( hskp1
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | c3_1(X113)
              | c1_1(X113) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | c1_1(X110) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | c3_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp9
        | hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp17
        | hskp1
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp22
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | c2_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c2_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp12
        | hskp11
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp20
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | hskp3
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp19
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c1_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp15
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp12
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp10
        | hskp13
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp5
        | hskp17
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | hskp26
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp13
        | hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp28
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | ~ c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp13
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c3_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp3
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp28
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | hskp0
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp12
        | hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp10
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp9
        | hskp8
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp27
        | hskp1
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | hskp6
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp2
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c3_1(X39)
              | c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp5
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp4
        | hskp0
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp3
        | hskp26
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp2
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp0
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a77)
          & c2_1(a77)
          & c0_1(a77)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a23)
          & c1_1(a23)
          & c0_1(a23)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a4)
          & c1_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a73)
          & c2_1(a73)
          & c0_1(a73)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a64)
          & c3_1(a64)
          & c1_1(a64)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a63)
          & ~ c1_1(a63)
          & c2_1(a63)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a48)
          & ~ c0_1(a48)
          & c1_1(a48)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a47)
          & c3_1(a47)
          & c2_1(a47)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a43)
          & c1_1(a43)
          & c0_1(a43)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a40)
          & ~ c0_1(a40)
          & c2_1(a40)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a39)
          & c3_1(a39)
          & c0_1(a39)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a33)
          & ~ c1_1(a33)
          & c0_1(a33)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a25)
          & c1_1(a25)
          & c0_1(a25)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a22)
          & ~ c0_1(a22)
          & c3_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c2_1(a20)
          & ~ c0_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a19)
          & c2_1(a19)
          & c1_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a18)
          & ~ c2_1(a18)
          & ~ c1_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a15)
          & ~ c1_1(a15)
          & ~ c0_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c3_1(a14)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a11)
          & ~ c0_1(a11)
          & c1_1(a11)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a10)
          & c3_1(a10)
          & c0_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a8)
          & ~ c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a7)
          & ~ c1_1(a7)
          & ~ c0_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & ~ c1_1(a3)
          & c3_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2)
          & ~ c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & c3_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1027,plain,
    ( ~ spl0_4
    | spl0_152 ),
    inference(avatar_split_clause,[],[f9,f1024,f268]) ).

fof(f9,plain,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1022,plain,
    ( ~ spl0_4
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f10,f1019,f268]) ).

fof(f10,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_10
    | spl0_17 ),
    inference(avatar_split_clause,[],[f11,f327,f295]) ).

fof(f295,plain,
    ( spl0_10
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f327,plain,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1016,plain,
    ( ~ spl0_10
    | spl0_150 ),
    inference(avatar_split_clause,[],[f12,f1013,f295]) ).

fof(f12,plain,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_10
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f13,f1008,f295]) ).

fof(f13,plain,
    ( ~ c1_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( ~ spl0_10
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f14,f1003,f295]) ).

fof(f14,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1000,plain,
    ( ~ spl0_21
    | spl0_147 ),
    inference(avatar_split_clause,[],[f16,f997,f342]) ).

fof(f342,plain,
    ( spl0_21
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f16,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_21
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f17,f992,f342]) ).

fof(f17,plain,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_21
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f18,f987,f342]) ).

fof(f18,plain,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_45
    | spl0_144 ),
    inference(avatar_split_clause,[],[f20,f981,f449]) ).

fof(f449,plain,
    ( spl0_45
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f20,plain,
    ( c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_45
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f21,f976,f449]) ).

fof(f21,plain,
    ( ~ c0_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f974,plain,
    ( ~ spl0_45
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f22,f971,f449]) ).

fof(f22,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f23,f327,f299]) ).

fof(f299,plain,
    ( spl0_11
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( ~ spl0_50
    | spl0_138 ),
    inference(avatar_split_clause,[],[f28,f949,f474]) ).

fof(f474,plain,
    ( spl0_50
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f28,plain,
    ( c1_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_50
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f29,f944,f474]) ).

fof(f29,plain,
    ( ~ c2_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_50
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f30,f939,f474]) ).

fof(f30,plain,
    ( ~ c3_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_32
    | spl0_129 ),
    inference(avatar_split_clause,[],[f40,f901,f389]) ).

fof(f389,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f40,plain,
    ( c3_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_32
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f41,f896,f389]) ).

fof(f41,plain,
    ( ~ c0_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_32
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f42,f891,f389]) ).

fof(f42,plain,
    ( ~ c2_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f44,f885,f281]) ).

fof(f281,plain,
    ( spl0_7
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f44,plain,
    ( ~ c0_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_7
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f45,f880,f281]) ).

fof(f45,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_7
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f46,f875,f281]) ).

fof(f46,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_49
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f48,f869,f469]) ).

fof(f469,plain,
    ( spl0_49
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f48,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_49
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f49,f864,f469]) ).

fof(f49,plain,
    ( ~ c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_49
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f50,f859,f469]) ).

fof(f50,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_1
    | spl0_120 ),
    inference(avatar_split_clause,[],[f52,f853,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f52,plain,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_1
    | spl0_119 ),
    inference(avatar_split_clause,[],[f53,f848,f255]) ).

fof(f53,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f54,f843,f255]) ).

fof(f54,plain,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_3
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f56,f837,f263]) ).

fof(f263,plain,
    ( spl0_3
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f56,plain,
    ( ~ c0_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_3
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f57,f832,f263]) ).

fof(f57,plain,
    ( ~ c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_3
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f58,f827,f263]) ).

fof(f58,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f824,plain,
    ( ~ spl0_30
    | spl0_114 ),
    inference(avatar_split_clause,[],[f60,f821,f380]) ).

fof(f380,plain,
    ( spl0_30
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f60,plain,
    ( c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f819,plain,
    ( ~ spl0_30
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f61,f816,f380]) ).

fof(f61,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_30
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f62,f811,f380]) ).

fof(f62,plain,
    ( ~ c1_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_15
    | spl0_111 ),
    inference(avatar_split_clause,[],[f64,f805,f318]) ).

fof(f318,plain,
    ( spl0_15
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f64,plain,
    ( c0_1(a25)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_15
    | spl0_110 ),
    inference(avatar_split_clause,[],[f65,f800,f318]) ).

fof(f65,plain,
    ( c1_1(a25)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_15
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f66,f795,f318]) ).

fof(f66,plain,
    ( ~ c2_1(a25)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_47
    | spl0_108 ),
    inference(avatar_split_clause,[],[f68,f789,f459]) ).

fof(f459,plain,
    ( spl0_47
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f68,plain,
    ( c2_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_47
    | spl0_107 ),
    inference(avatar_split_clause,[],[f69,f784,f459]) ).

fof(f69,plain,
    ( c3_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_47
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f70,f779,f459]) ).

fof(f70,plain,
    ( ~ c1_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_8
    | spl0_102 ),
    inference(avatar_split_clause,[],[f76,f757,f286]) ).

fof(f286,plain,
    ( spl0_8
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f76,plain,
    ( c0_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_8
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f77,f752,f286]) ).

fof(f77,plain,
    ( ~ c1_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_8
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f78,f747,f286]) ).

fof(f78,plain,
    ( ~ c3_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_24
    | spl0_99 ),
    inference(avatar_split_clause,[],[f80,f741,f354]) ).

fof(f354,plain,
    ( spl0_24
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f80,plain,
    ( c0_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_24
    | spl0_98 ),
    inference(avatar_split_clause,[],[f81,f736,f354]) ).

fof(f81,plain,
    ( c3_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f82,f731,f354]) ).

fof(f82,plain,
    ( ~ c1_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_9
    | spl0_96 ),
    inference(avatar_split_clause,[],[f84,f725,f290]) ).

fof(f290,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ( c2_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_9
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f85,f720,f290]) ).

fof(f85,plain,
    ( ~ c0_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f86,f715,f290]) ).

fof(f86,plain,
    ( ~ c3_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_16
    | spl0_93 ),
    inference(avatar_split_clause,[],[f88,f709,f322]) ).

fof(f322,plain,
    ( spl0_16
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f88,plain,
    ( c0_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_16
    | spl0_92 ),
    inference(avatar_split_clause,[],[f89,f704,f322]) ).

fof(f89,plain,
    ( c1_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_16
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f90,f699,f322]) ).

fof(f90,plain,
    ( ~ c3_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( ~ spl0_2
    | spl0_90 ),
    inference(avatar_split_clause,[],[f92,f693,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f92,plain,
    ( c2_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_2
    | spl0_89 ),
    inference(avatar_split_clause,[],[f93,f688,f259]) ).

fof(f93,plain,
    ( c3_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f94,f683,f259]) ).

fof(f94,plain,
    ( ~ c0_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_5
    | spl0_87 ),
    inference(avatar_split_clause,[],[f96,f677,f272]) ).

fof(f272,plain,
    ( spl0_5
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f96,plain,
    ( c1_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_5
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f97,f672,f272]) ).

fof(f97,plain,
    ( ~ c0_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_5
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f98,f667,f272]) ).

fof(f98,plain,
    ( ~ c3_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_14
    | spl0_81 ),
    inference(avatar_split_clause,[],[f104,f645,f313]) ).

fof(f313,plain,
    ( spl0_14
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f104,plain,
    ( c1_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl0_14
    | spl0_80 ),
    inference(avatar_split_clause,[],[f105,f640,f313]) ).

fof(f105,plain,
    ( c3_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_14
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f106,f635,f313]) ).

fof(f106,plain,
    ( ~ c0_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_12
    | spl0_78 ),
    inference(avatar_split_clause,[],[f108,f629,f304]) ).

fof(f304,plain,
    ( spl0_12
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f108,plain,
    ( c0_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_12
    | spl0_77 ),
    inference(avatar_split_clause,[],[f109,f624,f304]) ).

fof(f109,plain,
    ( c2_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f110,f619,f304]) ).

fof(f110,plain,
    ( ~ c3_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_6
    | spl0_17 ),
    inference(avatar_split_clause,[],[f115,f327,f277]) ).

fof(f277,plain,
    ( spl0_6
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f115,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_6
    | spl0_72 ),
    inference(avatar_split_clause,[],[f116,f597,f277]) ).

fof(f116,plain,
    ( c1_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_6
    | spl0_71 ),
    inference(avatar_split_clause,[],[f117,f592,f277]) ).

fof(f117,plain,
    ( c2_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_6
    | spl0_70 ),
    inference(avatar_split_clause,[],[f118,f587,f277]) ).

fof(f118,plain,
    ( c3_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_23
    | spl0_69 ),
    inference(avatar_split_clause,[],[f120,f581,f350]) ).

fof(f350,plain,
    ( spl0_23
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f120,plain,
    ( c0_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_23
    | spl0_68 ),
    inference(avatar_split_clause,[],[f121,f576,f350]) ).

fof(f121,plain,
    ( c1_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(avatar_split_clause,[],[f122,f571,f350]) ).

fof(f122,plain,
    ( c2_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_13
    | spl0_66 ),
    inference(avatar_split_clause,[],[f124,f565,f309]) ).

fof(f309,plain,
    ( spl0_13
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f124,plain,
    ( c0_1(a77)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_13
    | spl0_65 ),
    inference(avatar_split_clause,[],[f125,f560,f309]) ).

fof(f125,plain,
    ( c2_1(a77)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( spl0_63
    | spl0_46
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f207,f417,f327,f455,f547]) ).

fof(f207,plain,
    ! [X140,X138,X139] :
      ( ~ c3_1(X138)
      | ~ c0_1(X138)
      | c1_1(X138)
      | ~ ndr1_0
      | ~ c3_1(X139)
      | ~ c1_1(X139)
      | c0_1(X139)
      | c2_1(X140)
      | c1_1(X140)
      | c0_1(X140) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X140,X138,X139] :
      ( ~ c3_1(X138)
      | ~ c0_1(X138)
      | c1_1(X138)
      | ~ ndr1_0
      | ~ c3_1(X139)
      | ~ c1_1(X139)
      | c0_1(X139)
      | ~ ndr1_0
      | c2_1(X140)
      | c1_1(X140)
      | c0_1(X140)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( spl0_63
    | spl0_31
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f210,f493,f327,f386,f547]) ).

fof(f210,plain,
    ! [X130,X131,X129] :
      ( ~ c3_1(X129)
      | ~ c2_1(X129)
      | ~ c1_1(X129)
      | ~ ndr1_0
      | ~ c3_1(X130)
      | ~ c2_1(X130)
      | c1_1(X130)
      | c2_1(X131)
      | c1_1(X131)
      | c0_1(X131) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X130,X131,X129] :
      ( ~ c3_1(X129)
      | ~ c2_1(X129)
      | ~ c1_1(X129)
      | ~ ndr1_0
      | ~ c3_1(X130)
      | ~ c2_1(X130)
      | c1_1(X130)
      | ~ ndr1_0
      | c2_1(X131)
      | c1_1(X131)
      | c0_1(X131)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( spl0_63
    | ~ spl0_17
    | spl0_26
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f268,f363,f327,f547]) ).

fof(f211,plain,
    ! [X127,X128] :
      ( hskp0
      | ~ c1_1(X127)
      | c3_1(X127)
      | c2_1(X127)
      | ~ ndr1_0
      | c2_1(X128)
      | c1_1(X128)
      | c0_1(X128) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X127,X128] :
      ( hskp0
      | ~ c1_1(X127)
      | c3_1(X127)
      | c2_1(X127)
      | ~ ndr1_0
      | c2_1(X128)
      | c1_1(X128)
      | c0_1(X128)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( spl0_61
    | spl0_60
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f212,f367,f327,f532,f537]) ).

fof(f212,plain,
    ! [X126,X124,X125] :
      ( ~ c0_1(X124)
      | c3_1(X124)
      | c2_1(X124)
      | ~ ndr1_0
      | ~ c2_1(X125)
      | c1_1(X125)
      | c0_1(X125)
      | c3_1(X126)
      | c1_1(X126)
      | c0_1(X126) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X126,X124,X125] :
      ( ~ c0_1(X124)
      | c3_1(X124)
      | c2_1(X124)
      | ~ ndr1_0
      | ~ c2_1(X125)
      | c1_1(X125)
      | c0_1(X125)
      | ~ ndr1_0
      | c3_1(X126)
      | c1_1(X126)
      | c0_1(X126)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( spl0_61
    | ~ spl0_17
    | spl0_48
    | spl0_10 ),
    inference(avatar_split_clause,[],[f213,f295,f466,f327,f537]) ).

fof(f213,plain,
    ! [X122,X123] :
      ( hskp1
      | ~ c2_1(X122)
      | ~ c1_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | c3_1(X123)
      | c1_1(X123)
      | c0_1(X123) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X122,X123] :
      ( hskp1
      | ~ c2_1(X122)
      | ~ c1_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | c3_1(X123)
      | c1_1(X123)
      | c0_1(X123)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_58
    | ~ spl0_17
    | spl0_48
    | spl0_50 ),
    inference(avatar_split_clause,[],[f217,f474,f466,f327,f518]) ).

fof(f217,plain,
    ! [X111,X110] :
      ( hskp5
      | ~ c2_1(X110)
      | ~ c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ c3_1(X111)
      | c1_1(X111)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X111,X110] :
      ( hskp5
      | ~ c2_1(X110)
      | ~ c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ c3_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( spl0_58
    | spl0_44
    | ~ spl0_17
    | spl0_36 ),
    inference(avatar_split_clause,[],[f218,f408,f327,f446,f518]) ).

fof(f218,plain,
    ! [X108,X109,X107] :
      ( ~ c2_1(X107)
      | c3_1(X107)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ c3_1(X108)
      | ~ c2_1(X108)
      | c0_1(X108)
      | ~ c3_1(X109)
      | c1_1(X109)
      | c0_1(X109) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X108,X109,X107] :
      ( ~ c2_1(X107)
      | c3_1(X107)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ c3_1(X108)
      | ~ c2_1(X108)
      | c0_1(X108)
      | ~ ndr1_0
      | ~ c3_1(X109)
      | c1_1(X109)
      | c0_1(X109)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_58
    | ~ spl0_17
    | spl0_31
    | spl0_21 ),
    inference(avatar_split_clause,[],[f221,f342,f386,f327,f518]) ).

fof(f221,plain,
    ! [X99,X100] :
      ( hskp2
      | ~ c3_1(X99)
      | ~ c2_1(X99)
      | c1_1(X99)
      | ~ ndr1_0
      | ~ c3_1(X100)
      | c1_1(X100)
      | c0_1(X100) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X99,X100] :
      ( hskp2
      | ~ c3_1(X99)
      | ~ c2_1(X99)
      | c1_1(X99)
      | ~ ndr1_0
      | ~ c3_1(X100)
      | c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_57
    | spl0_36
    | ~ spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f222,f335,f327,f408,f512]) ).

fof(f222,plain,
    ! [X96,X97,X95] :
      ( ~ c2_1(X95)
      | ~ c1_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | c3_1(X97)
      | c2_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X96,X97,X95] :
      ( ~ c2_1(X95)
      | ~ c1_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( ~ spl0_17
    | spl0_57
    | spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f146,f277,f295,f512,f327]) ).

fof(f146,plain,
    ! [X94] :
      ( hskp27
      | hskp1
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_17
    | spl0_56
    | spl0_10
    | spl0_49 ),
    inference(avatar_split_clause,[],[f149,f469,f295,f505,f327]) ).

fof(f149,plain,
    ! [X90] :
      ( hskp10
      | hskp1
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( ~ spl0_17
    | spl0_56
    | spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f150,f263,f255,f505,f327]) ).

fof(f150,plain,
    ! [X89] :
      ( hskp12
      | hskp11
      | ~ c1_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_44
    | spl0_23 ),
    inference(avatar_split_clause,[],[f224,f350,f446,f327,f500]) ).

fof(f224,plain,
    ! [X86,X87] :
      ( hskp28
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c2_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X86,X87] :
      ( hskp28
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_53
    | spl0_39
    | ~ spl0_17
    | spl0_26 ),
    inference(avatar_split_clause,[],[f226,f363,f327,f421,f490]) ).

fof(f226,plain,
    ! [X82,X83,X81] :
      ( ~ c1_1(X81)
      | c3_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c0_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X82,X83,X81] :
      ( ~ c1_1(X81)
      | c3_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c0_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_53
    | ~ spl0_17
    | spl0_22
    | spl0_15 ),
    inference(avatar_split_clause,[],[f227,f318,f347,f327,f490]) ).

fof(f227,plain,
    ! [X80,X79] :
      ( hskp14
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c3_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X80,X79] :
      ( hskp14
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c3_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_53
    | ~ spl0_17
    | spl0_18
    | spl0_30 ),
    inference(avatar_split_clause,[],[f228,f380,f331,f327,f490]) ).

fof(f228,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c3_1(X77)
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c3_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c3_1(X77)
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c3_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( ~ spl0_17
    | spl0_52
    | spl0_47
    | spl0_30 ),
    inference(avatar_split_clause,[],[f159,f380,f459,f485,f327]) ).

fof(f159,plain,
    ! [X71] :
      ( hskp13
      | hskp15
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_48
    | ~ spl0_17
    | spl0_39
    | spl0_45 ),
    inference(avatar_split_clause,[],[f231,f449,f421,f327,f466]) ).

fof(f231,plain,
    ! [X70,X69] :
      ( hskp3
      | ~ c0_1(X69)
      | c3_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X70,X69] :
      ( hskp3
      | ~ c0_1(X69)
      | c3_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( ~ spl0_17
    | spl0_48
    | spl0_8
    | spl0_50 ),
    inference(avatar_split_clause,[],[f162,f474,f286,f466,f327]) ).

fof(f162,plain,
    ! [X67] :
      ( hskp5
      | hskp17
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_17
    | spl0_48
    | spl0_30
    | spl0_49 ),
    inference(avatar_split_clause,[],[f163,f469,f380,f466,f327]) ).

fof(f163,plain,
    ! [X66] :
      ( hskp10
      | hskp13
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_46
    | ~ spl0_17
    | spl0_44
    | spl0_3 ),
    inference(avatar_split_clause,[],[f232,f263,f446,f327,f455]) ).

fof(f232,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f463,plain,
    ( spl0_46
    | spl0_31
    | ~ spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f233,f335,f327,f386,f455]) ).

fof(f233,plain,
    ! [X62,X63,X61] :
      ( ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c1_1(X62)
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X62,X63,X61] :
      ( ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( spl0_46
    | ~ spl0_17
    | spl0_27
    | spl0_47 ),
    inference(avatar_split_clause,[],[f234,f459,f367,f327,f455]) ).

fof(f234,plain,
    ! [X59,X60] :
      ( hskp15
      | ~ c0_1(X59)
      | c3_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X59,X60] :
      ( hskp15
      | ~ c0_1(X59)
      | c3_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( spl0_46
    | ~ spl0_17
    | spl0_34
    | spl0_24 ),
    inference(avatar_split_clause,[],[f235,f354,f399,f327,f455]) ).

fof(f235,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_43
    | ~ spl0_17
    | spl0_33
    | spl0_16 ),
    inference(avatar_split_clause,[],[f237,f322,f394,f327,f441]) ).

fof(f237,plain,
    ! [X52,X53] :
      ( hskp20
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | c3_1(X53)
      | c2_1(X53)
      | c1_1(X53) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X52,X53] :
      ( hskp20
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | c3_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_41
    | spl0_33
    | ~ spl0_17
    | spl0_37 ),
    inference(avatar_split_clause,[],[f238,f411,f327,f394,f432]) ).

fof(f238,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | ~ c0_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | ~ c0_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_41
    | ~ spl0_17
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f240,f389,f386,f327,f432]) ).

fof(f240,plain,
    ! [X44,X43] :
      ( hskp8
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X44,X43] :
      ( hskp8
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f430,plain,
    ( spl0_40
    | spl0_31
    | ~ spl0_17
    | spl0_34 ),
    inference(avatar_split_clause,[],[f241,f399,f327,f386,f427]) ).

fof(f241,plain,
    ! [X40,X41,X42] :
      ( ~ c1_1(X40)
      | ~ c0_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X40,X41,X42] :
      ( ~ c1_1(X40)
      | ~ c0_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f429,plain,
    ( spl0_40
    | ~ spl0_17
    | spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f242,f259,f403,f327,f427]) ).

fof(f242,plain,
    ! [X38,X39] :
      ( hskp21
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X38,X39] :
      ( hskp21
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( spl0_39
    | ~ spl0_17
    | spl0_31
    | spl0_5 ),
    inference(avatar_split_clause,[],[f243,f272,f386,f327,f421]) ).

fof(f243,plain,
    ! [X36,X37] :
      ( hskp22
      | ~ c3_1(X36)
      | ~ c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X36,X37] :
      ( hskp22
      | ~ c3_1(X36)
      | ~ c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_17
    | spl0_39
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f179,f281,f255,f421,f327]) ).

fof(f179,plain,
    ! [X34] :
      ( hskp9
      | hskp11
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_36
    | spl0_38
    | ~ spl0_17
    | spl0_25 ),
    inference(avatar_split_clause,[],[f244,f359,f327,f417,f408]) ).

fof(f244,plain,
    ! [X31,X32,X33] :
      ( ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X31,X32,X33] :
      ( ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( spl0_36
    | ~ spl0_17
    | spl0_26
    | spl0_10 ),
    inference(avatar_split_clause,[],[f246,f295,f363,f327,f408]) ).

fof(f246,plain,
    ! [X26,X27] :
      ( hskp1
      | ~ c1_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X26,X27] :
      ( hskp1
      | ~ c1_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f247,f331,f327,f411,f408]) ).

fof(f247,plain,
    ! [X24,X25,X23] :
      ( ~ c3_1(X23)
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X24,X25,X23] :
      ( ~ c3_1(X23)
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_33
    | spl0_31
    | ~ spl0_17
    | spl0_25 ),
    inference(avatar_split_clause,[],[f248,f359,f327,f386,f394]) ).

fof(f248,plain,
    ! [X21,X22,X20] :
      ( ~ c1_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21)
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X21,X22,X20] :
      ( ~ c1_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_33
    | spl0_31
    | ~ spl0_17
    | spl0_35 ),
    inference(avatar_split_clause,[],[f249,f403,f327,f386,f394]) ).

fof(f249,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c1_1(X18)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f397,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_24
    | spl0_9 ),
    inference(avatar_split_clause,[],[f187,f290,f354,f394,f327]) ).

fof(f187,plain,
    ! [X14] :
      ( hskp19
      | hskp18
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | c1_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f188,f259,f255,f394,f327]) ).

fof(f188,plain,
    ! [X13] :
      ( hskp21
      | hskp11
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( spl0_31
    | ~ spl0_17
    | spl0_22
    | spl0_32 ),
    inference(avatar_split_clause,[],[f251,f389,f347,f327,f386]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( hskp8
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | c1_1(X12) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X11,X12] :
      ( hskp8
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | c1_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_27
    | ~ spl0_17
    | spl0_19
    | spl0_16 ),
    inference(avatar_split_clause,[],[f252,f322,f335,f327,f367]) ).

fof(f252,plain,
    ! [X10,X9] :
      ( hskp20
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c3_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X10,X9] :
      ( hskp20
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c3_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( spl0_27
    | ~ spl0_17
    | spl0_18
    | spl0_30 ),
    inference(avatar_split_clause,[],[f253,f380,f331,f327,f367]) ).

fof(f253,plain,
    ! [X8,X7] :
      ( hskp13
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | c3_1(X8)
      | c2_1(X8) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X8,X7] :
      ( hskp13
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | c3_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f193,f272,f313,f367,f327]) ).

fof(f193,plain,
    ! [X5] :
      ( hskp22
      | hskp24
      | ~ c0_1(X5)
      | c3_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_9 ),
    inference(avatar_split_clause,[],[f194,f290,f363,f327]) ).

fof(f194,plain,
    ! [X4] :
      ( hskp19
      | ~ c1_1(X4)
      | c3_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f357,plain,
    ( ~ spl0_17
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f196,f354,f350,f347,f327]) ).

fof(f196,plain,
    ! [X2] :
      ( hskp18
      | hskp28
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f333,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_12 ),
    inference(avatar_split_clause,[],[f198,f304,f331,f327]) ).

fof(f198,plain,
    ! [X0] :
      ( hskp25
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f325,plain,
    ( spl0_15
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f199,f263,f322,f318]) ).

fof(f199,plain,
    ( hskp12
    | hskp20
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( spl0_13
    | spl0_14
    | spl0_9 ),
    inference(avatar_split_clause,[],[f200,f290,f313,f309]) ).

fof(f200,plain,
    ( hskp19
    | hskp24
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( spl0_10
    | spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f202,f299,f277,f295]) ).

fof(f202,plain,
    ( hskp4
    | hskp27
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( spl0_8
    | spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f203,f290,f272,f286]) ).

fof(f203,plain,
    ( hskp19
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f204,f281,f277]) ).

fof(f204,plain,
    ( hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( spl0_1
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f205,f272,f268,f255]) ).

fof(f205,plain,
    ( hskp22
    | hskp0
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f263,f259,f255]) ).

fof(f206,plain,
    ( hskp12
    | hskp21
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SYN500+1 : TPTP v8.2.0. Released v2.1.0.
% 0.10/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 14:02:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.66  % (23003)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2997ds/34Mi)
% 0.49/0.66  % (23010)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.49/0.66  % (23005)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.49/0.66  % (23004)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2997ds/51Mi)
% 0.49/0.66  % (23006)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.49/0.66  % (23007)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2997ds/34Mi)
% 0.49/0.66  % (23008)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.49/0.67  % (23009)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2997ds/83Mi)
% 0.49/0.67  % (23003)Instruction limit reached!
% 0.49/0.67  % (23003)------------------------------
% 0.49/0.67  % (23003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (23003)Termination reason: Unknown
% 0.49/0.67  % (23003)Termination phase: Saturation
% 0.49/0.67  
% 0.49/0.67  % (23003)Memory used [KB]: 2117
% 0.49/0.67  % (23003)Time elapsed: 0.012 s
% 0.49/0.67  % (23003)Instructions burned: 34 (million)
% 0.49/0.67  % (23003)------------------------------
% 0.49/0.67  % (23003)------------------------------
% 0.49/0.67  % (23011)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2997ds/55Mi)
% 0.49/0.68  % (23010)Instruction limit reached!
% 0.49/0.68  % (23010)------------------------------
% 0.49/0.68  % (23010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (23010)Termination reason: Unknown
% 0.49/0.68  % (23010)Termination phase: Saturation
% 0.49/0.68  
% 0.49/0.68  % (23010)Memory used [KB]: 2568
% 0.49/0.68  % (23010)Time elapsed: 0.019 s
% 0.49/0.68  % (23010)Instructions burned: 58 (million)
% 0.49/0.68  % (23010)------------------------------
% 0.49/0.68  % (23010)------------------------------
% 0.49/0.68  % (23006)Instruction limit reached!
% 0.49/0.68  % (23006)------------------------------
% 0.49/0.68  % (23006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (23006)Termination reason: Unknown
% 0.49/0.68  % (23006)Termination phase: Saturation
% 0.49/0.68  
% 0.49/0.68  % (23006)Memory used [KB]: 2265
% 0.49/0.68  % (23006)Time elapsed: 0.020 s
% 0.49/0.68  % (23006)Instructions burned: 33 (million)
% 0.49/0.68  % (23006)------------------------------
% 0.49/0.68  % (23006)------------------------------
% 0.49/0.68  % (23012)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.49/0.68  % (23007)Instruction limit reached!
% 0.49/0.68  % (23007)------------------------------
% 0.49/0.68  % (23007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (23007)Termination reason: Unknown
% 0.49/0.68  % (23007)Termination phase: Saturation
% 0.49/0.68  
% 0.49/0.68  % (23007)Memory used [KB]: 2223
% 0.49/0.68  % (23007)Time elapsed: 0.022 s
% 0.49/0.68  % (23007)Instructions burned: 35 (million)
% 0.49/0.68  % (23007)------------------------------
% 0.49/0.68  % (23007)------------------------------
% 0.49/0.68  % (23013)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.49/0.69  % (23008)Instruction limit reached!
% 0.49/0.69  % (23008)------------------------------
% 0.49/0.69  % (23008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.69  % (23008)Termination reason: Unknown
% 0.49/0.69  % (23008)Termination phase: Saturation
% 0.49/0.69  
% 0.49/0.69  % (23008)Memory used [KB]: 2317
% 0.49/0.69  % (23008)Time elapsed: 0.025 s
% 0.49/0.69  % (23008)Instructions burned: 46 (million)
% 0.49/0.69  % (23008)------------------------------
% 0.49/0.69  % (23008)------------------------------
% 0.49/0.69  % (23014)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.49/0.69  % (23004)First to succeed.
% 0.49/0.69  % (23011)Instruction limit reached!
% 0.49/0.69  % (23011)------------------------------
% 0.49/0.69  % (23011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.69  % (23011)Termination reason: Unknown
% 0.49/0.69  % (23011)Termination phase: Saturation
% 0.49/0.69  
% 0.49/0.69  % (23011)Memory used [KB]: 2794
% 0.49/0.69  % (23011)Time elapsed: 0.042 s
% 0.49/0.69  % (23011)Instructions burned: 56 (million)
% 0.49/0.69  % (23011)------------------------------
% 0.49/0.69  % (23011)------------------------------
% 0.49/0.69  % (23015)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.49/0.69  % (23016)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.49/0.69  % (23012)Instruction limit reached!
% 0.49/0.69  % (23012)------------------------------
% 0.49/0.69  % (23012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.69  % (23012)Termination reason: Unknown
% 0.49/0.69  % (23012)Termination phase: Saturation
% 0.49/0.69  
% 0.49/0.69  % (23012)Memory used [KB]: 1706
% 0.49/0.69  % (23012)Time elapsed: 0.015 s
% 0.49/0.69  % (23012)Instructions burned: 51 (million)
% 0.49/0.69  % (23012)------------------------------
% 0.49/0.69  % (23012)------------------------------
% 0.49/0.70  % (23017)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.49/0.70  % (23004)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23002"
% 0.49/0.70  % (23004)Refutation found. Thanks to Tanya!
% 0.49/0.70  % SZS status Theorem for theBenchmark
% 0.49/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.71  % (23004)------------------------------
% 0.49/0.71  % (23004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.71  % (23004)Termination reason: Refutation
% 0.49/0.71  
% 0.49/0.71  % (23004)Memory used [KB]: 2037
% 0.49/0.71  % (23004)Time elapsed: 0.042 s
% 0.49/0.71  % (23004)Instructions burned: 75 (million)
% 0.49/0.71  % (23002)Success in time 0.346 s
% 0.49/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------