TSTP Solution File: SYN436+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:37:58 EDT 2022

% Result   : Theorem 2.01s 0.61s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  157
% Syntax   : Number of formulae    :  705 (   1 unt;   0 def)
%            Number of atoms       : 5425 (   0 equ)
%            Maximal formula atoms :  446 (   7 avg)
%            Number of connectives : 7193 (2473   ~;3255   |;1057   &)
%                                         ( 156 <=>; 252  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   77 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  190 ( 189 usr; 186 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  606 ( 606   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3152,plain,
    $false,
    inference(avatar_sat_refutation,[],[f189,f210,f219,f228,f233,f242,f250,f255,f267,f280,f289,f300,f305,f319,f340,f345,f350,f364,f368,f374,f383,f391,f396,f401,f407,f413,f418,f435,f444,f451,f456,f461,f466,f471,f480,f489,f499,f504,f513,f518,f523,f528,f533,f543,f548,f553,f554,f559,f564,f568,f569,f578,f583,f588,f589,f594,f603,f608,f611,f618,f622,f627,f628,f635,f640,f647,f653,f658,f663,f664,f668,f684,f689,f694,f695,f700,f701,f706,f711,f712,f717,f722,f727,f732,f736,f737,f747,f752,f755,f761,f762,f767,f774,f779,f784,f789,f799,f804,f805,f815,f817,f818,f823,f824,f829,f834,f845,f850,f855,f860,f861,f866,f871,f873,f874,f907,f916,f922,f927,f928,f939,f948,f949,f971,f973,f988,f992,f997,f1001,f1003,f1016,f1028,f1035,f1049,f1065,f1066,f1073,f1078,f1079,f1080,f1087,f1112,f1118,f1163,f1168,f1201,f1204,f1212,f1214,f1230,f1259,f1269,f1273,f1276,f1316,f1355,f1358,f1390,f1419,f1441,f1481,f1491,f1502,f1510,f1581,f1620,f1621,f1710,f1745,f1801,f1802,f1859,f1944,f1945,f2007,f2014,f2015,f2095,f2131,f2160,f2163,f2169,f2173,f2254,f2255,f2257,f2348,f2405,f2413,f2432,f2520,f2631,f2633,f2634,f2650,f2651,f2652,f2670,f2675,f2710,f2711,f2800,f2801,f2848,f2855,f2856,f2859,f2861,f2993,f3027,f3147,f3148,f3150]) ).

fof(f3150,plain,
    ( spl0_155
    | ~ spl0_141
    | ~ spl0_93
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3142,f734,f605,f857,f1075]) ).

fof(f1075,plain,
    ( spl0_155
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f857,plain,
    ( spl0_141
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f605,plain,
    ( spl0_93
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f734,plain,
    ( spl0_118
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | ~ c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3142,plain,
    ( ~ c3_1(a3)
    | c0_1(a3)
    | ~ spl0_93
    | ~ spl0_118 ),
    inference(resolution,[],[f735,f607]) ).

fof(f607,plain,
    ( c1_1(a3)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f735,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | ~ c3_1(X38)
        | c0_1(X38) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f3148,plain,
    ( ~ spl0_8
    | spl0_29
    | ~ spl0_118
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3135,f994,f734,f302,f212]) ).

fof(f212,plain,
    ( spl0_8
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f302,plain,
    ( spl0_29
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f994,plain,
    ( spl0_153
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3135,plain,
    ( c0_1(a1)
    | ~ c3_1(a1)
    | ~ spl0_118
    | ~ spl0_153 ),
    inference(resolution,[],[f735,f996]) ).

fof(f996,plain,
    ( c1_1(a1)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f3147,plain,
    ( ~ spl0_136
    | spl0_158
    | ~ spl0_72
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3136,f734,f501,f1123,f831]) ).

fof(f831,plain,
    ( spl0_136
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1123,plain,
    ( spl0_158
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f501,plain,
    ( spl0_72
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3136,plain,
    ( c0_1(a6)
    | ~ c3_1(a6)
    | ~ spl0_72
    | ~ spl0_118 ),
    inference(resolution,[],[f735,f503]) ).

fof(f503,plain,
    ( c1_1(a6)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f3027,plain,
    ( spl0_24
    | spl0_77
    | ~ spl0_106
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3019,f1115,f673,f525,f282]) ).

fof(f282,plain,
    ( spl0_24
  <=> c3_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f525,plain,
    ( spl0_77
  <=> c0_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f673,plain,
    ( spl0_106
  <=> ! [X55] :
        ( c3_1(X55)
        | ~ c2_1(X55)
        | c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1115,plain,
    ( spl0_157
  <=> c2_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3019,plain,
    ( c0_1(a37)
    | c3_1(a37)
    | ~ spl0_106
    | ~ spl0_157 ),
    inference(resolution,[],[f674,f1116]) ).

fof(f1116,plain,
    ( c2_1(a37)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f674,plain,
    ( ! [X55] :
        ( ~ c2_1(X55)
        | c3_1(X55)
        | c0_1(X55) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f2993,plain,
    ( spl0_24
    | ~ spl0_15
    | ~ spl0_40
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2988,f525,f356,f245,f282]) ).

fof(f245,plain,
    ( spl0_15
  <=> ! [X17] :
        ( c0_1(X17)
        | c3_1(X17)
        | c1_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f356,plain,
    ( spl0_40
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ c1_1(X3)
        | c3_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2988,plain,
    ( c3_1(a37)
    | ~ spl0_15
    | ~ spl0_40
    | spl0_77 ),
    inference(resolution,[],[f2908,f527]) ).

fof(f527,plain,
    ( ~ c0_1(a37)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f2908,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f2893]) ).

fof(f2893,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(resolution,[],[f357,f246]) ).

fof(f246,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | c3_1(X17)
        | c0_1(X17) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f357,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c0_1(X3)
        | c3_1(X3) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f2861,plain,
    ( spl0_120
    | spl0_161
    | ~ spl0_98
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2575,f708,f633,f1165,f744]) ).

fof(f744,plain,
    ( spl0_120
  <=> c3_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1165,plain,
    ( spl0_161
  <=> c1_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f633,plain,
    ( spl0_98
  <=> ! [X8] :
        ( c3_1(X8)
        | c1_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f708,plain,
    ( spl0_113
  <=> c0_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2575,plain,
    ( c1_1(a16)
    | c3_1(a16)
    | ~ spl0_98
    | ~ spl0_113 ),
    inference(resolution,[],[f634,f710]) ).

fof(f710,plain,
    ( c0_1(a16)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f634,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c1_1(X8)
        | c3_1(X8) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f2859,plain,
    ( ~ spl0_130
    | spl0_154
    | ~ spl0_124
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2756,f863,f769,f1062,f796]) ).

fof(f796,plain,
    ( spl0_130
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1062,plain,
    ( spl0_154
  <=> c3_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f769,plain,
    ( spl0_124
  <=> ! [X31] :
        ( ~ c1_1(X31)
        | ~ c2_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f863,plain,
    ( spl0_142
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2756,plain,
    ( c3_1(a9)
    | ~ c2_1(a9)
    | ~ spl0_124
    | ~ spl0_142 ),
    inference(resolution,[],[f770,f865]) ).

fof(f865,plain,
    ( c1_1(a9)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f770,plain,
    ( ! [X31] :
        ( ~ c1_1(X31)
        | ~ c2_1(X31)
        | c3_1(X31) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f2856,plain,
    ( spl0_53
    | ~ spl0_76
    | ~ spl0_16
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2796,f1507,f248,f520,f415]) ).

fof(f415,plain,
    ( spl0_53
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f520,plain,
    ( spl0_76
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f248,plain,
    ( spl0_16
  <=> ! [X16] :
        ( ~ c2_1(X16)
        | ~ c1_1(X16)
        | c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1507,plain,
    ( spl0_169
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2796,plain,
    ( ~ c2_1(a2)
    | c0_1(a2)
    | ~ spl0_16
    | ~ spl0_169 ),
    inference(resolution,[],[f1509,f249]) ).

fof(f249,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | ~ c2_1(X16)
        | c0_1(X16) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f1509,plain,
    ( c1_1(a2)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f2855,plain,
    ( ~ spl0_123
    | spl0_154
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2781,f863,f853,f1062,f764]) ).

fof(f764,plain,
    ( spl0_123
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f853,plain,
    ( spl0_140
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c3_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2781,plain,
    ( c3_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(resolution,[],[f854,f865]) ).

fof(f854,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | ~ c0_1(X18)
        | c3_1(X18) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f2848,plain,
    ( spl0_171
    | spl0_13
    | ~ spl0_42
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2840,f371,f362,f235,f2672]) ).

fof(f2672,plain,
    ( spl0_171
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f235,plain,
    ( spl0_13
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f362,plain,
    ( spl0_42
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f371,plain,
    ( spl0_44
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2840,plain,
    ( c0_1(a33)
    | c1_1(a33)
    | ~ spl0_42
    | ~ spl0_44 ),
    inference(resolution,[],[f363,f373]) ).

fof(f373,plain,
    ( c2_1(a33)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f363,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f2801,plain,
    ( spl0_13
    | spl0_171
    | ~ spl0_57
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2685,f714,f433,f2672,f235]) ).

fof(f433,plain,
    ( spl0_57
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f714,plain,
    ( spl0_114
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2685,plain,
    ( c1_1(a33)
    | c0_1(a33)
    | ~ spl0_57
    | ~ spl0_114 ),
    inference(resolution,[],[f716,f434]) ).

fof(f434,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | c1_1(X28) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f716,plain,
    ( c3_1(a33)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f2800,plain,
    ( ~ spl0_44
    | spl0_13
    | ~ spl0_16
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2799,f2672,f248,f235,f371]) ).

fof(f2799,plain,
    ( c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_16
    | ~ spl0_171 ),
    inference(resolution,[],[f2674,f249]) ).

fof(f2674,plain,
    ( c1_1(a33)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2672]) ).

fof(f2711,plain,
    ( ~ spl0_145
    | spl0_52
    | ~ spl0_22
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2695,f530,f274,f410,f895]) ).

fof(f895,plain,
    ( spl0_145
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f410,plain,
    ( spl0_52
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f274,plain,
    ( spl0_22
  <=> ! [X34] :
        ( ~ c0_1(X34)
        | ~ c3_1(X34)
        | c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f530,plain,
    ( spl0_78
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2695,plain,
    ( c2_1(a8)
    | ~ c3_1(a8)
    | ~ spl0_22
    | ~ spl0_78 ),
    inference(resolution,[],[f275,f532]) ).

fof(f532,plain,
    ( c0_1(a8)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f275,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | ~ c3_1(X34)
        | c2_1(X34) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f2710,plain,
    ( ~ spl0_136
    | spl0_134
    | ~ spl0_22
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2694,f1123,f274,f820,f831]) ).

fof(f820,plain,
    ( spl0_134
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2694,plain,
    ( c2_1(a6)
    | ~ c3_1(a6)
    | ~ spl0_22
    | ~ spl0_158 ),
    inference(resolution,[],[f275,f1125]) ).

fof(f1125,plain,
    ( c0_1(a6)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f2675,plain,
    ( spl0_171
    | ~ spl0_114
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2667,f371,f359,f714,f2672]) ).

fof(f359,plain,
    ( spl0_41
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2667,plain,
    ( ~ c3_1(a33)
    | c1_1(a33)
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(resolution,[],[f373,f360]) ).

fof(f360,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f2670,plain,
    ( ~ spl0_114
    | spl0_13
    | ~ spl0_44
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2668,f620,f371,f235,f714]) ).

fof(f620,plain,
    ( spl0_95
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c2_1(X45)
        | ~ c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2668,plain,
    ( c0_1(a33)
    | ~ c3_1(a33)
    | ~ spl0_44
    | ~ spl0_95 ),
    inference(resolution,[],[f373,f621]) ).

fof(f621,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | ~ c3_1(X45)
        | c0_1(X45) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f2652,plain,
    ( spl0_170
    | spl0_35
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2365,f781,f386,f333,f1798]) ).

fof(f1798,plain,
    ( spl0_170
  <=> c2_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f333,plain,
    ( spl0_35
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f386,plain,
    ( spl0_47
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c2_1(X14)
        | c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f781,plain,
    ( spl0_127
  <=> c3_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2365,plain,
    ( c0_1(a7)
    | c2_1(a7)
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(resolution,[],[f783,f387]) ).

fof(f387,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c0_1(X14)
        | c2_1(X14) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f783,plain,
    ( c3_1(a7)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f2651,plain,
    ( spl0_35
    | ~ spl0_170
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2530,f463,f248,f1798,f333]) ).

fof(f463,plain,
    ( spl0_64
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2530,plain,
    ( ~ c2_1(a7)
    | c0_1(a7)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f249,f465]) ).

fof(f465,plain,
    ( c1_1(a7)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f2650,plain,
    ( spl0_148
    | spl0_11
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2648,f468,f352,f225,f919]) ).

fof(f919,plain,
    ( spl0_148
  <=> c3_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f225,plain,
    ( spl0_11
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f352,plain,
    ( spl0_39
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c1_1(X56)
        | c3_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f468,plain,
    ( spl0_65
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2648,plain,
    ( c1_1(a24)
    | c3_1(a24)
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(resolution,[],[f470,f353]) ).

fof(f353,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c1_1(X56)
        | c3_1(X56) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f470,plain,
    ( c2_1(a24)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f2634,plain,
    ( spl0_103
    | spl0_31
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2621,f772,f615,f312,f660]) ).

fof(f660,plain,
    ( spl0_103
  <=> c0_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f312,plain,
    ( spl0_31
  <=> c2_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f615,plain,
    ( spl0_94
  <=> c1_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f772,plain,
    ( spl0_125
  <=> ! [X30] :
        ( c2_1(X30)
        | ~ c1_1(X30)
        | c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2621,plain,
    ( c2_1(a30)
    | c0_1(a30)
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(resolution,[],[f773,f617]) ).

fof(f617,plain,
    ( c1_1(a30)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f773,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | c0_1(X30)
        | c2_1(X30) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f2633,plain,
    ( spl0_115
    | spl0_75
    | ~ spl0_125
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2619,f1308,f772,f515,f719]) ).

fof(f719,plain,
    ( spl0_115
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f515,plain,
    ( spl0_75
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1308,plain,
    ( spl0_164
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2619,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | ~ spl0_125
    | ~ spl0_164 ),
    inference(resolution,[],[f773,f1310]) ).

fof(f1310,plain,
    ( c1_1(a22)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f2631,plain,
    ( spl0_163
    | spl0_102
    | ~ spl0_63
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2611,f772,f458,f655,f1198]) ).

fof(f1198,plain,
    ( spl0_163
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f655,plain,
    ( spl0_102
  <=> c2_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f458,plain,
    ( spl0_63
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2611,plain,
    ( c2_1(a4)
    | c0_1(a4)
    | ~ spl0_63
    | ~ spl0_125 ),
    inference(resolution,[],[f773,f460]) ).

fof(f460,plain,
    ( c1_1(a4)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f2520,plain,
    ( spl0_35
    | ~ spl0_127
    | ~ spl0_95
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2508,f1798,f620,f781,f333]) ).

fof(f2508,plain,
    ( ~ c3_1(a7)
    | c0_1(a7)
    | ~ spl0_95
    | ~ spl0_170 ),
    inference(resolution,[],[f621,f1800]) ).

fof(f1800,plain,
    ( c2_1(a7)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1798]) ).

fof(f2432,plain,
    ( spl0_53
    | spl0_80
    | ~ spl0_76
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2430,f673,f520,f540,f415]) ).

fof(f540,plain,
    ( spl0_80
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2430,plain,
    ( c3_1(a2)
    | c0_1(a2)
    | ~ spl0_76
    | ~ spl0_106 ),
    inference(resolution,[],[f522,f674]) ).

fof(f522,plain,
    ( c2_1(a2)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2413,plain,
    ( spl0_52
    | spl0_145
    | ~ spl0_89
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2386,f677,f585,f895,f410]) ).

fof(f585,plain,
    ( spl0_89
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f677,plain,
    ( spl0_107
  <=> ! [X44] :
        ( ~ c1_1(X44)
        | c3_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2386,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ spl0_89
    | ~ spl0_107 ),
    inference(resolution,[],[f678,f587]) ).

fof(f587,plain,
    ( c1_1(a8)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f678,plain,
    ( ! [X44] :
        ( ~ c1_1(X44)
        | c2_1(X44)
        | c3_1(X44) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f2405,plain,
    ( spl0_97
    | ~ spl0_15
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2404,f677,f245,f630]) ).

fof(f630,plain,
    ( spl0_97
  <=> ! [X7] :
        ( c3_1(X7)
        | c0_1(X7)
        | c2_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2404,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_15
    | ~ spl0_107 ),
    inference(duplicate_literal_removal,[],[f2385]) ).

fof(f2385,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_15
    | ~ spl0_107 ),
    inference(resolution,[],[f678,f246]) ).

fof(f2348,plain,
    ( spl0_69
    | spl0_109
    | ~ spl0_27
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2347,f1495,f295,f686,f486]) ).

fof(f486,plain,
    ( spl0_69
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f686,plain,
    ( spl0_109
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f295,plain,
    ( spl0_27
  <=> ! [X58] :
        ( c2_1(X58)
        | c1_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1495,plain,
    ( spl0_168
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2347,plain,
    ( c2_1(a5)
    | c1_1(a5)
    | ~ spl0_27
    | ~ spl0_168 ),
    inference(resolution,[],[f1497,f296]) ).

fof(f296,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c2_1(X58)
        | c1_1(X58) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1497,plain,
    ( c0_1(a5)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1495]) ).

fof(f2257,plain,
    ( spl0_87
    | spl0_139
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1850,f1155,f362,f847,f575]) ).

fof(f575,plain,
    ( spl0_87
  <=> c0_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f847,plain,
    ( spl0_139
  <=> c1_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1155,plain,
    ( spl0_159
  <=> c2_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1850,plain,
    ( c1_1(a53)
    | c0_1(a53)
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f1157,f363]) ).

fof(f1157,plain,
    ( c2_1(a53)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f2255,plain,
    ( ~ spl0_166
    | spl0_67
    | ~ spl0_84
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2241,f769,f561,f477,f1352]) ).

fof(f1352,plain,
    ( spl0_166
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f477,plain,
    ( spl0_67
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f561,plain,
    ( spl0_84
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2241,plain,
    ( c3_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_84
    | ~ spl0_124 ),
    inference(resolution,[],[f770,f563]) ).

fof(f563,plain,
    ( c1_1(a25)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2254,plain,
    ( spl0_51
    | ~ spl0_99
    | ~ spl0_124
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2237,f1313,f769,f637,f404]) ).

fof(f404,plain,
    ( spl0_51
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f637,plain,
    ( spl0_99
  <=> c2_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1313,plain,
    ( spl0_165
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2237,plain,
    ( ~ c2_1(a18)
    | c3_1(a18)
    | ~ spl0_124
    | ~ spl0_165 ),
    inference(resolution,[],[f770,f1315]) ).

fof(f1315,plain,
    ( c1_1(a18)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f2173,plain,
    ( spl0_75
    | spl0_133
    | ~ spl0_15
    | spl0_164 ),
    inference(avatar_split_clause,[],[f1976,f1308,f245,f812,f515]) ).

fof(f812,plain,
    ( spl0_133
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1976,plain,
    ( c3_1(a22)
    | c0_1(a22)
    | ~ spl0_15
    | spl0_164 ),
    inference(resolution,[],[f1309,f246]) ).

fof(f1309,plain,
    ( ~ c1_1(a22)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f2169,plain,
    ( spl0_122
    | ~ spl0_15
    | ~ spl0_40
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2149,f1198,f356,f245,f758]) ).

fof(f758,plain,
    ( spl0_122
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2149,plain,
    ( c3_1(a4)
    | ~ spl0_15
    | ~ spl0_40
    | spl0_163 ),
    inference(resolution,[],[f1537,f1199]) ).

fof(f1199,plain,
    ( ~ c0_1(a4)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1537,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1535]) ).

fof(f1535,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(resolution,[],[f357,f246]) ).

fof(f2163,plain,
    ( spl0_126
    | ~ spl0_15
    | ~ spl0_40
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2150,f1495,f356,f245,f776]) ).

fof(f776,plain,
    ( spl0_126
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2150,plain,
    ( c3_1(a5)
    | ~ spl0_15
    | ~ spl0_40
    | spl0_168 ),
    inference(resolution,[],[f1537,f1496]) ).

fof(f1496,plain,
    ( ~ c0_1(a5)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1495]) ).

fof(f2160,plain,
    ( spl0_133
    | ~ spl0_15
    | ~ spl0_40
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2156,f515,f356,f245,f812]) ).

fof(f2156,plain,
    ( c3_1(a22)
    | ~ spl0_15
    | ~ spl0_40
    | spl0_75 ),
    inference(resolution,[],[f1537,f517]) ).

fof(f517,plain,
    ( ~ c0_1(a22)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f2131,plain,
    ( spl0_109
    | spl0_126
    | ~ spl0_43
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2130,f1495,f366,f776,f686]) ).

fof(f366,plain,
    ( spl0_43
  <=> ! [X47] :
        ( c2_1(X47)
        | c3_1(X47)
        | ~ c0_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2130,plain,
    ( c3_1(a5)
    | c2_1(a5)
    | ~ spl0_43
    | ~ spl0_168 ),
    inference(resolution,[],[f1497,f367]) ).

fof(f367,plain,
    ( ! [X47] :
        ( ~ c0_1(X47)
        | c2_1(X47)
        | c3_1(X47) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f2095,plain,
    ( spl0_122
    | spl0_102
    | ~ spl0_43
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2080,f1198,f366,f655,f758]) ).

fof(f2080,plain,
    ( c2_1(a4)
    | c3_1(a4)
    | ~ spl0_43
    | ~ spl0_163 ),
    inference(resolution,[],[f367,f1200]) ).

fof(f1200,plain,
    ( c0_1(a4)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f2015,plain,
    ( spl0_83
    | spl0_11
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1964,f919,f433,f225,f556]) ).

fof(f556,plain,
    ( spl0_83
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1964,plain,
    ( c1_1(a24)
    | c0_1(a24)
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(resolution,[],[f434,f921]) ).

fof(f921,plain,
    ( c3_1(a24)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f2014,plain,
    ( spl0_83
    | spl0_11
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1752,f468,f362,f225,f556]) ).

fof(f1752,plain,
    ( c1_1(a24)
    | c0_1(a24)
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(resolution,[],[f363,f470]) ).

fof(f2007,plain,
    ( spl0_37
    | spl0_120
    | ~ spl0_107
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1998,f1165,f677,f744,f342]) ).

fof(f342,plain,
    ( spl0_37
  <=> c2_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1998,plain,
    ( c3_1(a16)
    | c2_1(a16)
    | ~ spl0_107
    | ~ spl0_161 ),
    inference(resolution,[],[f678,f1167]) ).

fof(f1167,plain,
    ( c1_1(a16)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1945,plain,
    ( spl0_38
    | ~ spl0_150
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1925,f749,f298,f945,f347]) ).

fof(f347,plain,
    ( spl0_38
  <=> c1_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f945,plain,
    ( spl0_150
  <=> c3_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f298,plain,
    ( spl0_28
  <=> ! [X57] :
        ( c1_1(X57)
        | ~ c3_1(X57)
        | ~ c0_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f749,plain,
    ( spl0_121
  <=> c0_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1925,plain,
    ( ~ c3_1(a31)
    | c1_1(a31)
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f299,f751]) ).

fof(f751,plain,
    ( c0_1(a31)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f299,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | ~ c3_1(X57)
        | c1_1(X57) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1944,plain,
    ( spl0_96
    | ~ spl0_59
    | ~ spl0_28
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1928,f984,f298,f441,f624]) ).

fof(f624,plain,
    ( spl0_96
  <=> c1_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f441,plain,
    ( spl0_59
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f984,plain,
    ( spl0_152
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1928,plain,
    ( ~ c3_1(a42)
    | c1_1(a42)
    | ~ spl0_28
    | ~ spl0_152 ),
    inference(resolution,[],[f299,f986]) ).

fof(f986,plain,
    ( c0_1(a42)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f1859,plain,
    ( spl0_12
    | ~ spl0_1
    | ~ spl0_19
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1858,f1160,f261,f182,f230]) ).

fof(f230,plain,
    ( spl0_12
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f182,plain,
    ( spl0_1
  <=> c3_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f261,plain,
    ( spl0_19
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | ~ c1_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1160,plain,
    ( spl0_160
  <=> c1_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1858,plain,
    ( ~ c3_1(a14)
    | c2_1(a14)
    | ~ spl0_19
    | ~ spl0_160 ),
    inference(resolution,[],[f1162,f262]) ).

fof(f262,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | c2_1(X29)
        | ~ c3_1(X29) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1162,plain,
    ( c1_1(a14)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1802,plain,
    ( spl0_35
    | ~ spl0_127
    | ~ spl0_64
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1793,f734,f463,f781,f333]) ).

fof(f1793,plain,
    ( ~ c3_1(a7)
    | c0_1(a7)
    | ~ spl0_64
    | ~ spl0_118 ),
    inference(resolution,[],[f465,f735]) ).

fof(f1801,plain,
    ( spl0_170
    | ~ spl0_127
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1796,f463,f261,f781,f1798]) ).

fof(f1796,plain,
    ( ~ c3_1(a7)
    | c2_1(a7)
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(resolution,[],[f465,f262]) ).

fof(f1745,plain,
    ( spl0_102
    | spl0_122
    | ~ spl0_63
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1738,f677,f458,f758,f655]) ).

fof(f1738,plain,
    ( c3_1(a4)
    | c2_1(a4)
    | ~ spl0_63
    | ~ spl0_107 ),
    inference(resolution,[],[f678,f460]) ).

fof(f1710,plain,
    ( ~ spl0_148
    | spl0_83
    | ~ spl0_65
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1700,f620,f468,f556,f919]) ).

fof(f1700,plain,
    ( c0_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_65
    | ~ spl0_95 ),
    inference(resolution,[],[f621,f470]) ).

fof(f1621,plain,
    ( ~ spl0_50
    | ~ spl0_141
    | ~ spl0_48
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1617,f605,f389,f857,f398]) ).

fof(f398,plain,
    ( spl0_50
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f389,plain,
    ( spl0_48
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | ~ c2_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1617,plain,
    ( ~ c3_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_48
    | ~ spl0_93 ),
    inference(resolution,[],[f607,f390]) ).

fof(f390,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | ~ c2_1(X13)
        | ~ c3_1(X13) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f1620,plain,
    ( ~ spl0_155
    | ~ spl0_50
    | ~ spl0_7
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1616,f605,f208,f398,f1075]) ).

fof(f208,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | ~ c0_1(X6)
        | ~ c2_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1616,plain,
    ( ~ c2_1(a3)
    | ~ c0_1(a3)
    | ~ spl0_7
    | ~ spl0_93 ),
    inference(resolution,[],[f607,f209]) ).

fof(f209,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c0_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f1581,plain,
    ( spl0_88
    | spl0_45
    | ~ spl0_104
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1558,f904,f666,f376,f580]) ).

fof(f580,plain,
    ( spl0_88
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f376,plain,
    ( spl0_45
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f666,plain,
    ( spl0_104
  <=> ! [X4] :
        ( c1_1(X4)
        | ~ c3_1(X4)
        | c2_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f904,plain,
    ( spl0_146
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1558,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ spl0_104
    | ~ spl0_146 ),
    inference(resolution,[],[f667,f905]) ).

fof(f905,plain,
    ( c3_1(a15)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f667,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | c2_1(X4)
        | c1_1(X4) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1510,plain,
    ( spl0_169
    | spl0_80
    | ~ spl0_39
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1505,f520,f352,f540,f1507]) ).

fof(f1505,plain,
    ( c3_1(a2)
    | c1_1(a2)
    | ~ spl0_39
    | ~ spl0_76 ),
    inference(resolution,[],[f522,f353]) ).

fof(f1502,plain,
    ( spl0_15
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1387,f630,f352,f245]) ).

fof(f1387,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(duplicate_literal_removal,[],[f1374]) ).

fof(f1374,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(resolution,[],[f631,f353]) ).

fof(f631,plain,
    ( ! [X7] :
        ( c2_1(X7)
        | c0_1(X7)
        | c3_1(X7) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1491,plain,
    ( spl0_12
    | ~ spl0_1
    | ~ spl0_22
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1483,f786,f274,f182,f230]) ).

fof(f786,plain,
    ( spl0_128
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1483,plain,
    ( ~ c3_1(a14)
    | c2_1(a14)
    | ~ spl0_22
    | ~ spl0_128 ),
    inference(resolution,[],[f275,f788]) ).

fof(f788,plain,
    ( c0_1(a14)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f1481,plain,
    ( ~ spl0_166
    | ~ spl0_90
    | ~ spl0_7
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1480,f561,f208,f591,f1352]) ).

fof(f591,plain,
    ( spl0_90
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1480,plain,
    ( ~ c0_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_7
    | ~ spl0_84 ),
    inference(resolution,[],[f209,f563]) ).

fof(f1441,plain,
    ( ~ spl0_143
    | spl0_51
    | ~ spl0_85
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1430,f637,f566,f404,f868]) ).

fof(f868,plain,
    ( spl0_143
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f566,plain,
    ( spl0_85
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c3_1(X33)
        | ~ c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1430,plain,
    ( c3_1(a18)
    | ~ c0_1(a18)
    | ~ spl0_85
    | ~ spl0_99 ),
    inference(resolution,[],[f567,f639]) ).

fof(f639,plain,
    ( c2_1(a18)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f567,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | ~ c0_1(X33)
        | c3_1(X33) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1419,plain,
    ( spl0_135
    | spl0_73
    | ~ spl0_39
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1413,f681,f352,f506,f826]) ).

fof(f826,plain,
    ( spl0_135
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f506,plain,
    ( spl0_73
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f681,plain,
    ( spl0_108
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1413,plain,
    ( c1_1(a19)
    | c3_1(a19)
    | ~ spl0_39
    | ~ spl0_108 ),
    inference(resolution,[],[f683,f353]) ).

fof(f683,plain,
    ( c2_1(a19)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1390,plain,
    ( spl0_24
    | spl0_77
    | ~ spl0_97
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1382,f1115,f630,f525,f282]) ).

fof(f1382,plain,
    ( c0_1(a37)
    | c3_1(a37)
    | ~ spl0_97
    | spl0_157 ),
    inference(resolution,[],[f631,f1117]) ).

fof(f1117,plain,
    ( ~ c2_1(a37)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1358,plain,
    ( spl0_37
    | spl0_120
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1340,f708,f366,f744,f342]) ).

fof(f1340,plain,
    ( c3_1(a16)
    | c2_1(a16)
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(resolution,[],[f367,f710]) ).

fof(f1355,plain,
    ( spl0_67
    | spl0_166
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1342,f591,f366,f1352,f477]) ).

fof(f1342,plain,
    ( c2_1(a25)
    | c3_1(a25)
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(resolution,[],[f367,f593]) ).

fof(f593,plain,
    ( c0_1(a25)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1316,plain,
    ( spl0_165
    | spl0_51
    | ~ spl0_39
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1298,f637,f352,f404,f1313]) ).

fof(f1298,plain,
    ( c3_1(a18)
    | c1_1(a18)
    | ~ spl0_39
    | ~ spl0_99 ),
    inference(resolution,[],[f353,f639]) ).

fof(f1276,plain,
    ( ~ spl0_121
    | ~ spl0_150
    | ~ spl0_71
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1069,f601,f496,f945,f749]) ).

fof(f496,plain,
    ( spl0_71
  <=> c2_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f601,plain,
    ( spl0_92
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | ~ c0_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1069,plain,
    ( ~ c3_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_71
    | ~ spl0_92 ),
    inference(resolution,[],[f602,f498]) ).

fof(f498,plain,
    ( c2_1(a31)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f602,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | ~ c0_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1273,plain,
    ( ~ spl0_145
    | spl0_52
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1022,f585,f261,f410,f895]) ).

fof(f1022,plain,
    ( c2_1(a8)
    | ~ c3_1(a8)
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(resolution,[],[f262,f587]) ).

fof(f1269,plain,
    ( spl0_87
    | spl0_159
    | ~ spl0_60
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1238,f847,f446,f1155,f575]) ).

fof(f446,plain,
    ( spl0_60
  <=> ! [X12] :
        ( c2_1(X12)
        | c0_1(X12)
        | c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1238,plain,
    ( c2_1(a53)
    | c0_1(a53)
    | ~ spl0_60
    | spl0_139 ),
    inference(resolution,[],[f447,f849]) ).

fof(f849,plain,
    ( ~ c1_1(a53)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f447,plain,
    ( ! [X12] :
        ( c1_1(X12)
        | c0_1(X12)
        | c2_1(X12) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1259,plain,
    ( spl0_38
    | spl0_150
    | ~ spl0_98
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1251,f749,f633,f945,f347]) ).

fof(f1251,plain,
    ( c3_1(a31)
    | c1_1(a31)
    | ~ spl0_98
    | ~ spl0_121 ),
    inference(resolution,[],[f634,f751]) ).

fof(f1230,plain,
    ( ~ spl0_121
    | spl0_38
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1226,f496,f449,f347,f749]) ).

fof(f449,plain,
    ( spl0_61
  <=> ! [X11] :
        ( c1_1(X11)
        | ~ c0_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1226,plain,
    ( c1_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(resolution,[],[f450,f498]) ).

fof(f450,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | ~ c0_1(X11)
        | c1_1(X11) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1214,plain,
    ( spl0_152
    | ~ spl0_59
    | ~ spl0_95
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1209,f729,f620,f441,f984]) ).

fof(f729,plain,
    ( spl0_117
  <=> c2_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1209,plain,
    ( ~ c3_1(a42)
    | c0_1(a42)
    | ~ spl0_95
    | ~ spl0_117 ),
    inference(resolution,[],[f731,f621]) ).

fof(f731,plain,
    ( c2_1(a42)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1212,plain,
    ( ~ spl0_152
    | ~ spl0_59
    | ~ spl0_92
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1210,f729,f601,f441,f984]) ).

fof(f1210,plain,
    ( ~ c3_1(a42)
    | ~ c0_1(a42)
    | ~ spl0_92
    | ~ spl0_117 ),
    inference(resolution,[],[f731,f602]) ).

fof(f1204,plain,
    ( spl0_75
    | spl0_133
    | ~ spl0_97
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1189,f719,f630,f812,f515]) ).

fof(f1189,plain,
    ( c3_1(a22)
    | c0_1(a22)
    | ~ spl0_97
    | spl0_115 ),
    inference(resolution,[],[f631,f721]) ).

fof(f721,plain,
    ( ~ c2_1(a22)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1201,plain,
    ( spl0_122
    | spl0_163
    | ~ spl0_97
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1183,f655,f630,f1198,f758]) ).

fof(f1183,plain,
    ( c0_1(a4)
    | c3_1(a4)
    | ~ spl0_97
    | spl0_102 ),
    inference(resolution,[],[f631,f657]) ).

fof(f657,plain,
    ( ~ c2_1(a4)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f1168,plain,
    ( spl0_37
    | spl0_161
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1146,f708,f295,f1165,f342]) ).

fof(f1146,plain,
    ( c1_1(a16)
    | c2_1(a16)
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(resolution,[],[f296,f710]) ).

fof(f1163,plain,
    ( spl0_12
    | spl0_160
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1144,f786,f295,f1160,f230]) ).

fof(f1144,plain,
    ( c1_1(a14)
    | c2_1(a14)
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(resolution,[],[f296,f788]) ).

fof(f1118,plain,
    ( ~ spl0_157
    | spl0_77
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1106,f644,f248,f525,f1115]) ).

fof(f644,plain,
    ( spl0_100
  <=> c1_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1106,plain,
    ( c0_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(resolution,[],[f249,f646]) ).

fof(f646,plain,
    ( c1_1(a37)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1112,plain,
    ( ~ spl0_50
    | spl0_155
    | ~ spl0_16
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1107,f605,f248,f1075,f398]) ).

fof(f1107,plain,
    ( c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_16
    | ~ spl0_93 ),
    inference(resolution,[],[f249,f607]) ).

fof(f1087,plain,
    ( ~ spl0_17
    | ~ spl0_81
    | ~ spl0_92
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1084,f842,f601,f545,f252]) ).

fof(f252,plain,
    ( spl0_17
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f545,plain,
    ( spl0_81
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f842,plain,
    ( spl0_138
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1084,plain,
    ( ~ c0_1(a10)
    | ~ c3_1(a10)
    | ~ spl0_92
    | ~ spl0_138 ),
    inference(resolution,[],[f844,f602]) ).

fof(f844,plain,
    ( c2_1(a10)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f1080,plain,
    ( ~ spl0_101
    | spl0_149
    | ~ spl0_19
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1027,f697,f261,f936,f650]) ).

fof(f650,plain,
    ( spl0_101
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f936,plain,
    ( spl0_149
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f697,plain,
    ( spl0_111
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1027,plain,
    ( c2_1(a11)
    | ~ c3_1(a11)
    | ~ spl0_19
    | ~ spl0_111 ),
    inference(resolution,[],[f262,f699]) ).

fof(f699,plain,
    ( c1_1(a11)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1079,plain,
    ( ~ spl0_123
    | ~ spl0_154
    | ~ spl0_92
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1071,f796,f601,f1062,f764]) ).

fof(f1071,plain,
    ( ~ c3_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_92
    | ~ spl0_130 ),
    inference(resolution,[],[f602,f798]) ).

fof(f798,plain,
    ( c2_1(a9)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f1078,plain,
    ( ~ spl0_141
    | ~ spl0_155
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1070,f601,f398,f1075,f857]) ).

fof(f1070,plain,
    ( ~ c0_1(a3)
    | ~ c3_1(a3)
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(resolution,[],[f602,f400]) ).

fof(f400,plain,
    ( c2_1(a3)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1073,plain,
    ( ~ spl0_101
    | ~ spl0_49
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1072,f936,f601,f393,f650]) ).

fof(f393,plain,
    ( spl0_49
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1072,plain,
    ( ~ c0_1(a11)
    | ~ c3_1(a11)
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(resolution,[],[f602,f938]) ).

fof(f938,plain,
    ( c2_1(a11)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f1066,plain,
    ( ~ spl0_121
    | spl0_150
    | ~ spl0_71
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1057,f566,f496,f945,f749]) ).

fof(f1057,plain,
    ( c3_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_71
    | ~ spl0_85 ),
    inference(resolution,[],[f567,f498]) ).

fof(f1065,plain,
    ( ~ spl0_123
    | spl0_154
    | ~ spl0_85
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1059,f796,f566,f1062,f764]) ).

fof(f1059,plain,
    ( c3_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_85
    | ~ spl0_130 ),
    inference(resolution,[],[f567,f798]) ).

fof(f1049,plain,
    ( spl0_47
    | ~ spl0_19
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1048,f446,f261,f386]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f1041]) ).

fof(f1041,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_60 ),
    inference(resolution,[],[f447,f262]) ).

fof(f1035,plain,
    ( spl0_139
    | spl0_87
    | ~ spl0_57
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1033,f801,f433,f575,f847]) ).

fof(f801,plain,
    ( spl0_131
  <=> c3_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1033,plain,
    ( c0_1(a53)
    | c1_1(a53)
    | ~ spl0_57
    | ~ spl0_131 ),
    inference(resolution,[],[f434,f803]) ).

fof(f803,plain,
    ( c3_1(a53)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1028,plain,
    ( ~ spl0_8
    | spl0_112
    | ~ spl0_19
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1019,f994,f261,f703,f212]) ).

fof(f703,plain,
    ( spl0_112
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1019,plain,
    ( c2_1(a1)
    | ~ c3_1(a1)
    | ~ spl0_19
    | ~ spl0_153 ),
    inference(resolution,[],[f262,f996]) ).

fof(f1016,plain,
    ( ~ spl0_130
    | ~ spl0_123
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1013,f863,f208,f764,f796]) ).

fof(f1013,plain,
    ( ~ c0_1(a9)
    | ~ c2_1(a9)
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(resolution,[],[f209,f865]) ).

fof(f1003,plain,
    ( spl0_134
    | ~ spl0_136
    | ~ spl0_19
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1002,f501,f261,f831,f820]) ).

fof(f1002,plain,
    ( ~ c3_1(a6)
    | c2_1(a6)
    | ~ spl0_19
    | ~ spl0_72 ),
    inference(resolution,[],[f503,f262]) ).

fof(f1001,plain,
    ( spl0_82
    | spl0_110
    | ~ spl0_15
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1000,f724,f245,f691,f550]) ).

fof(f550,plain,
    ( spl0_82
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f691,plain,
    ( spl0_110
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f724,plain,
    ( spl0_116
  <=> c1_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1000,plain,
    ( c3_1(a32)
    | c0_1(a32)
    | ~ spl0_15
    | spl0_116 ),
    inference(resolution,[],[f726,f246]) ).

fof(f726,plain,
    ( ~ c1_1(a32)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f997,plain,
    ( spl0_153
    | spl0_29
    | ~ spl0_8
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f989,f433,f212,f302,f994]) ).

fof(f989,plain,
    ( c0_1(a1)
    | c1_1(a1)
    | ~ spl0_8
    | ~ spl0_57 ),
    inference(resolution,[],[f434,f214]) ).

fof(f214,plain,
    ( c3_1(a1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f992,plain,
    ( spl0_96
    | spl0_152
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f990,f441,f433,f984,f624]) ).

fof(f990,plain,
    ( c0_1(a42)
    | c1_1(a42)
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(resolution,[],[f434,f443]) ).

fof(f443,plain,
    ( c3_1(a42)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f988,plain,
    ( spl0_29
    | spl0_112
    | ~ spl0_8
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f980,f386,f212,f703,f302]) ).

fof(f980,plain,
    ( c2_1(a1)
    | c0_1(a1)
    | ~ spl0_8
    | ~ spl0_47 ),
    inference(resolution,[],[f387,f214]) ).

fof(f973,plain,
    ( spl0_145
    | spl0_52
    | ~ spl0_43
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f965,f530,f366,f410,f895]) ).

fof(f965,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_43
    | ~ spl0_78 ),
    inference(resolution,[],[f367,f532]) ).

fof(f971,plain,
    ( spl0_146
    | spl0_88
    | ~ spl0_43
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f966,f453,f366,f580,f904]) ).

fof(f453,plain,
    ( spl0_62
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f966,plain,
    ( c2_1(a15)
    | c3_1(a15)
    | ~ spl0_43
    | ~ spl0_62 ),
    inference(resolution,[],[f367,f455]) ).

fof(f455,plain,
    ( c0_1(a15)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f949,plain,
    ( spl0_38
    | ~ spl0_150
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f942,f496,f359,f945,f347]) ).

fof(f942,plain,
    ( ~ c3_1(a31)
    | c1_1(a31)
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(resolution,[],[f498,f360]) ).

fof(f948,plain,
    ( spl0_150
    | spl0_38
    | ~ spl0_39
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f943,f496,f352,f347,f945]) ).

fof(f943,plain,
    ( c1_1(a31)
    | c3_1(a31)
    | ~ spl0_39
    | ~ spl0_71 ),
    inference(resolution,[],[f498,f353]) ).

fof(f939,plain,
    ( ~ spl0_101
    | spl0_149
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f934,f393,f274,f936,f650]) ).

fof(f934,plain,
    ( c2_1(a11)
    | ~ c3_1(a11)
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(resolution,[],[f395,f275]) ).

fof(f395,plain,
    ( c0_1(a11)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f928,plain,
    ( ~ spl0_59
    | spl0_96
    | ~ spl0_41
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f925,f729,f359,f624,f441]) ).

fof(f925,plain,
    ( c1_1(a42)
    | ~ c3_1(a42)
    | ~ spl0_41
    | ~ spl0_117 ),
    inference(resolution,[],[f360,f731]) ).

fof(f927,plain,
    ( ~ spl0_148
    | spl0_11
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f926,f468,f359,f225,f919]) ).

fof(f926,plain,
    ( c1_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(resolution,[],[f360,f470]) ).

fof(f922,plain,
    ( spl0_148
    | spl0_83
    | spl0_11
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f917,f245,f225,f556,f919]) ).

fof(f917,plain,
    ( c0_1(a24)
    | c3_1(a24)
    | spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f227,f246]) ).

fof(f227,plain,
    ( ~ c1_1(a24)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f916,plain,
    ( spl0_45
    | spl0_88
    | ~ spl0_27
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f908,f453,f295,f580,f376]) ).

fof(f908,plain,
    ( c2_1(a15)
    | c1_1(a15)
    | ~ spl0_27
    | ~ spl0_62 ),
    inference(resolution,[],[f296,f455]) ).

fof(f907,plain,
    ( ~ spl0_146
    | spl0_88
    | ~ spl0_22
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f900,f453,f274,f580,f904]) ).

fof(f900,plain,
    ( c2_1(a15)
    | ~ c3_1(a15)
    | ~ spl0_22
    | ~ spl0_62 ),
    inference(resolution,[],[f275,f455]) ).

fof(f874,plain,
    ( spl0_18
    | spl0_86
    | spl0_9 ),
    inference(avatar_split_clause,[],[f79,f216,f571,f257]) ).

fof(f257,plain,
    ( spl0_18
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f571,plain,
    ( spl0_86
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f216,plain,
    ( spl0_9
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f79,plain,
    ( hskp0
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp27
      | ! [X0] :
          ( ~ ndr1_0
          | c0_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0) )
      | hskp7 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c0_1(X1)
          | c1_1(X1) )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ! [X4] :
          ( c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0
          | c1_1(X4) )
      | hskp15
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ ndr1_0
          | c2_1(X5)
          | ~ c3_1(X5) ) )
    & ( hskp10
      | hskp6
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c1_1(X6) ) )
    & ( ! [X7] :
          ( c2_1(X7)
          | c3_1(X7)
          | ~ ndr1_0
          | c0_1(X7) )
      | ! [X8] :
          ( c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0
          | ~ c0_1(X8) )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33) ) )
    & ( ! [X10] :
          ( c1_1(X10)
          | ~ ndr1_0
          | c3_1(X10)
          | ~ c2_1(X10) )
      | hskp7 )
    & ( ( ~ c0_1(a37)
        & c1_1(a37)
        & ~ c3_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp0
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12) ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0
          | ~ c3_1(X13) )
      | hskp6
      | ! [X14] :
          ( c2_1(X14)
          | ~ ndr1_0
          | ~ c3_1(X14)
          | c0_1(X14) ) )
    & ( ( ~ c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19)
        & c2_1(a19) )
      | ~ hskp11 )
    & ( hskp27
      | hskp26
      | ! [X15] :
          ( ~ c2_1(X15)
          | c0_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c2_1(X16)
          | c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | ~ c0_1(X18)
          | ~ c1_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c0_1(X19)
          | c1_1(X19) )
      | hskp24 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a16)
        & ~ c3_1(a16)
        & c0_1(a16) ) )
    & ( ~ hskp26
      | ( c2_1(a10)
        & c3_1(a10)
        & ndr1_0
        & c0_1(a10) ) )
    & ( ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) )
      | ~ hskp27 )
    & ( ( ~ c2_1(a22)
        & ~ c3_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ~ hskp22
      | ( ~ c1_1(a45)
        & ~ c3_1(a45)
        & c0_1(a45)
        & ndr1_0 ) )
    & ( ( c3_1(a7)
        & ndr1_0
        & c1_1(a7)
        & ~ c0_1(a7) )
      | ~ hskp5 )
    & ( ~ hskp24
      | ( c2_1(a3)
        & c1_1(a3)
        & ndr1_0
        & c3_1(a3) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & ~ c1_1(a32) ) )
    & ( hskp1
      | ! [X20] :
          ( c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0
          | c1_1(X20) )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | ~ c2_1(X21) ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22)
          | ~ c2_1(X22) )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0
          | c1_1(X23) ) )
    & ( ~ hskp4
      | ( ~ c2_1(a6)
        & ndr1_0
        & c3_1(a6)
        & c1_1(a6) ) )
    & ( ( c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp13
      | hskp7
      | hskp9 )
    & ( hskp9
      | ! [X24] :
          ( ~ c1_1(X24)
          | c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ( ~ c2_1(a14)
        & ndr1_0
        & c0_1(a14)
        & c3_1(a14) )
      | ~ hskp7 )
    & ( hskp27
      | hskp12
      | ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | ~ c3_1(X25)
          | ~ c2_1(X25) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( hskp0
      | hskp23
      | hskp24 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | ~ c2_1(X26)
          | c3_1(X26) )
      | hskp26
      | hskp25 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | c1_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27) )
      | hskp4
      | ! [X28] :
          ( c1_1(X28)
          | ~ ndr1_0
          | ~ c3_1(X28)
          | c0_1(X28) ) )
    & ( ( ndr1_0
        & ~ c0_1(a1)
        & ~ c2_1(a1)
        & c3_1(a1) )
      | ~ hskp0 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp24
      | hskp9 )
    & ( hskp5
      | ! [X30] :
          ( ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0
          | c0_1(X30) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31) ) )
    & ( ! [X32] :
          ( c2_1(X32)
          | c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X33] :
          ( ~ c2_1(X33)
          | ~ ndr1_0
          | c3_1(X33)
          | ~ c0_1(X33) )
      | hskp26
      | hskp20 )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ ndr1_0
          | ~ c0_1(X34)
          | c2_1(X34) )
      | hskp17
      | hskp18 )
    & ( hskp21
      | hskp25
      | hskp17 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ~ c3_1(a5) ) )
    & ( hskp8
      | hskp17
      | hskp4 )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35) )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15) ) )
    & ( ! [X37] :
          ( c1_1(X37)
          | ~ ndr1_0
          | ~ c0_1(X37)
          | c3_1(X37) )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0
          | c3_1(X39) )
      | ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41) ) )
    & ( ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0
          | c1_1(X43) )
      | ! [X44] :
          ( ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0
          | c3_1(X44) ) )
    & ( ( ~ c1_1(a53)
        & ndr1_0
        & ~ c0_1(a53)
        & c3_1(a53) )
      | ~ hskp23 )
    & ( hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | ~ c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0
          | c3_1(X47) ) )
    & ( ( c1_1(a30)
        & ~ c0_1(a30)
        & ndr1_0
        & ~ c2_1(a30) )
      | ~ hskp16 )
    & ( ! [X48] :
          ( c3_1(X48)
          | ~ ndr1_0
          | c2_1(X48)
          | ~ c0_1(X48) )
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0
          | ~ c2_1(X49) )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c1_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0
          | ~ c3_1(X51) )
      | hskp10
      | ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c2_1(a8)
        & c0_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c1_1(a31)
        & ndr1_0
        & c0_1(a31)
        & c2_1(a31) ) )
    & ( ! [X53] :
          ( c3_1(X53)
          | ~ ndr1_0
          | c2_1(X53)
          | c1_1(X53) )
      | ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ ndr1_0
          | c2_1(X54) )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0
          | c0_1(X55) ) )
    & ( hskp6
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ ndr1_0
          | c3_1(X56)
          | c1_1(X56) )
      | hskp26 )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp13
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a9)
        & c0_1(a9)
        & c2_1(a9) ) )
    & ( ( c1_1(a4)
        & ~ c3_1(a4)
        & ndr1_0
        & ~ c2_1(a4) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & ~ c0_1(a21)
        & ~ c2_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( hskp3
      | ! [X59] :
          ( c1_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ~ c3_1(a2)
        & c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0
          | ~ c1_1(X60) )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c3_1(X62)
          | c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( c1_1(a25)
        & ~ c3_1(a25)
        & ndr1_0
        & c0_1(a25) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp27
      | ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31) )
      | hskp7 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c0_1(X45)
          | c1_1(X45) )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ! [X17] :
          ( c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0
          | c1_1(X17) )
      | hskp15
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ ndr1_0
          | c2_1(X18)
          | ~ c3_1(X18) ) )
    & ( hskp10
      | hskp6
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10) ) )
    & ( ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0
          | c0_1(X42) )
      | ! [X44] :
          ( c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0
          | ~ c0_1(X44) )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33) ) )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ ndr1_0
          | c3_1(X0)
          | ~ c2_1(X0) )
      | hskp7 )
    & ( ( ~ c0_1(a37)
        & c1_1(a37)
        & ~ c3_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp0
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12) ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0
          | ~ c3_1(X22) )
      | hskp6
      | ! [X23] :
          ( c2_1(X23)
          | ~ ndr1_0
          | ~ c3_1(X23)
          | c0_1(X23) ) )
    & ( ( ~ c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19)
        & c2_1(a19) )
      | ~ hskp11 )
    & ( hskp27
      | hskp26
      | ! [X3] :
          ( ~ c2_1(X3)
          | c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c0_1(X53)
          | ~ ndr1_0
          | c3_1(X53)
          | c1_1(X53) ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | c3_1(X48)
          | c0_1(X48)
          | c1_1(X48) )
      | hskp24 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a16)
        & ~ c3_1(a16)
        & c0_1(a16) ) )
    & ( ~ hskp26
      | ( c2_1(a10)
        & c3_1(a10)
        & ndr1_0
        & c0_1(a10) ) )
    & ( ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) )
      | ~ hskp27 )
    & ( ( ~ c2_1(a22)
        & ~ c3_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ~ hskp22
      | ( ~ c1_1(a45)
        & ~ c3_1(a45)
        & c0_1(a45)
        & ndr1_0 ) )
    & ( ( c3_1(a7)
        & ndr1_0
        & c1_1(a7)
        & ~ c0_1(a7) )
      | ~ hskp5 )
    & ( ~ hskp24
      | ( c2_1(a3)
        & c1_1(a3)
        & ndr1_0
        & c3_1(a3) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & ~ c1_1(a32) ) )
    & ( hskp1
      | ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0
          | c1_1(X51) )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ ndr1_0
          | c1_1(X52)
          | ~ c2_1(X52) ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56)
          | ~ c2_1(X56) )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0
          | c1_1(X55) ) )
    & ( ~ hskp4
      | ( ~ c2_1(a6)
        & ndr1_0
        & c3_1(a6)
        & c1_1(a6) ) )
    & ( ( c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp13
      | hskp7
      | hskp9 )
    & ( hskp9
      | ! [X30] :
          ( ~ c1_1(X30)
          | c0_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ( ~ c2_1(a14)
        & ndr1_0
        & c0_1(a14)
        & c3_1(a14) )
      | ~ hskp7 )
    & ( hskp27
      | hskp12
      | ! [X57] :
          ( ~ ndr1_0
          | c0_1(X57)
          | ~ c3_1(X57)
          | ~ c2_1(X57) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( hskp0
      | hskp23
      | hskp24 )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c0_1(X62)
          | ~ c2_1(X62)
          | c3_1(X62) )
      | hskp26
      | hskp25 )
    & ( ! [X13] :
          ( ~ ndr1_0
          | c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13) )
      | hskp4
      | ! [X14] :
          ( c1_1(X14)
          | ~ ndr1_0
          | ~ c3_1(X14)
          | c0_1(X14) ) )
    & ( ( ndr1_0
        & ~ c0_1(a1)
        & ~ c2_1(a1)
        & c3_1(a1) )
      | ~ hskp0 )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp24
      | hskp9 )
    & ( hskp5
      | ! [X5] :
          ( ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4) ) )
    & ( ! [X36] :
          ( c2_1(X36)
          | c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | ~ c0_1(X41) )
      | hskp26
      | hskp20 )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | ~ ndr1_0
          | ~ c0_1(X1)
          | c2_1(X1) )
      | hskp17
      | hskp18 )
    & ( hskp21
      | hskp25
      | hskp17 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ~ c3_1(a5) ) )
    & ( hskp8
      | hskp17
      | hskp4 )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ ndr1_0
          | ~ c1_1(X59)
          | c2_1(X59) )
      | ! [X58] :
          ( ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15) ) )
    & ( ! [X37] :
          ( c1_1(X37)
          | ~ ndr1_0
          | ~ c0_1(X37)
          | c3_1(X37) )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0
          | c3_1(X20) )
      | ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ ndr1_0
          | c0_1(X19)
          | c2_1(X19) ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0
          | c1_1(X27) )
      | ! [X29] :
          ( ~ c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0
          | c3_1(X29) ) )
    & ( ( ~ c1_1(a53)
        & ndr1_0
        & ~ c0_1(a53)
        & c3_1(a53) )
      | ~ hskp23 )
    & ( hskp11
      | ! [X60] :
          ( ~ c3_1(X60)
          | c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0
          | c3_1(X6) ) )
    & ( ( c1_1(a30)
        & ~ c0_1(a30)
        & ndr1_0
        & ~ c2_1(a30) )
      | ~ hskp16 )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | c2_1(X7)
          | ~ c0_1(X7) )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0
          | ~ c2_1(X8) )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c1_1(X15)
          | c0_1(X15)
          | ~ ndr1_0
          | ~ c3_1(X15) )
      | hskp10
      | ! [X16] :
          ( c1_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c2_1(a8)
        & c0_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c1_1(a31)
        & ndr1_0
        & c0_1(a31)
        & c2_1(a31) ) )
    & ( ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | c2_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0
          | c2_1(X32) )
      | ! [X34] :
          ( c3_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0
          | c0_1(X34) ) )
    & ( hskp6
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2) )
      | hskp26 )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp13
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a9)
        & c0_1(a9)
        & c2_1(a9) ) )
    & ( ( c1_1(a4)
        & ~ c3_1(a4)
        & ndr1_0
        & ~ c2_1(a4) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & ~ c0_1(a21)
        & ~ c2_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( hskp3
      | ! [X50] :
          ( c1_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ~ c3_1(a2)
        & c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0
          | ~ c1_1(X25) )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c1_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( c1_1(a25)
        & ~ c3_1(a25)
        & ndr1_0
        & c0_1(a25) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( c1_1(a4)
        & ~ c3_1(a4)
        & ndr1_0
        & ~ c2_1(a4) )
      | ~ hskp2 )
    & ( ~ hskp26
      | ( c2_1(a10)
        & c3_1(a10)
        & ndr1_0
        & c0_1(a10) ) )
    & ( hskp0
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15) ) )
    & ( hskp12
      | ! [X57] :
          ( c0_1(X57)
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X23] :
          ( c2_1(X23)
          | ~ c3_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp11
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a22)
        & ~ c3_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp27
      | hskp7
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) )
      | ~ hskp27 )
    & ( ! [X21] :
          ( c2_1(X21)
          | c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c3_1(X44)
          | c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp27
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33) ) )
    & ( ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a53)
        & ndr1_0
        & ~ c0_1(a53)
        & c3_1(a53) )
      | ~ hskp23 )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c1_1(X46)
          | c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( hskp15
      | ! [X18] :
          ( c2_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | ~ c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a16)
        & ~ c3_1(a16)
        & c0_1(a16) ) )
    & ( ! [X2] :
          ( c1_1(X2)
          | ~ c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ( ndr1_0
        & ~ c0_1(a1)
        & ~ c2_1(a1)
        & c3_1(a1) )
      | ~ hskp0 )
    & ( hskp13
      | hskp7
      | hskp9 )
    & ( hskp21
      | hskp25
      | hskp17 )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ( ndr1_0
        & ~ c0_1(a21)
        & ~ c2_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ~ hskp15
      | ( c1_1(a25)
        & ~ c3_1(a25)
        & ndr1_0
        & c0_1(a25) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & ~ c1_1(a32) ) )
    & ( ~ hskp6
      | ( ~ c2_1(a8)
        & c0_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X0] :
          ( c1_1(X0)
          | c3_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( ! [X54] :
          ( ~ c1_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19)
        & c2_1(a19) )
      | ~ hskp11 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp24
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp4
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a30)
        & ~ c0_1(a30)
        & ndr1_0
        & ~ c2_1(a30) )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2)
        & c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp8
      | ! [X30] :
          ( ~ c1_1(X30)
          | c0_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | hskp10
      | hskp6 )
    & ( hskp8
      | hskp17
      | hskp4 )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ( ~ c0_1(a37)
        & c1_1(a37)
        & ~ c3_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a9)
        & c0_1(a9)
        & c2_1(a9) ) )
    & ( hskp10
      | ! [X16] :
          ( c1_1(X16)
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c3_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X35] :
          ( c2_1(X35)
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp9
      | hskp24 )
    & ( ! [X26] :
          ( c0_1(X26)
          | ~ c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X1] :
          ( ~ c3_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( hskp16
      | ! [X6] :
          ( c3_1(X6)
          | c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp0
      | hskp23
      | hskp24 )
    & ( hskp19
      | ! [X59] :
          ( c2_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( c2_1(a3)
        & c1_1(a3)
        & ndr1_0
        & c3_1(a3) ) )
    & ( ( ~ c2_1(a14)
        & ndr1_0
        & c0_1(a14)
        & c3_1(a14) )
      | ~ hskp7 )
    & ( ~ hskp4
      | ( ~ c2_1(a6)
        & ndr1_0
        & c3_1(a6)
        & c1_1(a6) ) )
    & ( ! [X34] :
          ( ~ c2_1(X34)
          | c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c1_1(a45)
        & ~ c3_1(a45)
        & c0_1(a45)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c1_1(a31)
        & ndr1_0
        & c0_1(a31)
        & c2_1(a31) ) )
    & ( hskp25
      | hskp26
      | ! [X62] :
          ( c3_1(X62)
          | c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a7)
        & ndr1_0
        & c1_1(a7)
        & ~ c0_1(a7) )
      | ~ hskp5 )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | hskp14
      | hskp2 )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ~ c3_1(a5) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( c1_1(a4)
        & ~ c3_1(a4)
        & ndr1_0
        & ~ c2_1(a4) )
      | ~ hskp2 )
    & ( ~ hskp26
      | ( c2_1(a10)
        & c3_1(a10)
        & ndr1_0
        & c0_1(a10) ) )
    & ( hskp0
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c0_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c0_1(X12)
            | c2_1(X12) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c1_1(X55)
            | ~ c2_1(X55) ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15) ) )
    & ( hskp12
      | ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c3_1(X57)
            | ~ c2_1(X57) ) )
      | hskp27 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c3_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp6 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c3_1(X60)
            | ~ c2_1(X60) ) )
      | hskp11
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c2_1(X61)
            | c3_1(X61) ) ) )
    & ( ( ~ c2_1(a22)
        & ~ c3_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp27
      | hskp7
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | ~ c2_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) )
      | ~ hskp27 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c0_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c3_1(X20)
            | c0_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c3_1(X19)
            | c2_1(X19) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c1_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | c0_1(X42)
            | c3_1(X42) ) ) )
    & ( hskp26
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | ~ c1_1(X3)
            | ~ c2_1(X3) ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | ~ c2_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) )
      | hskp1 )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | c3_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) ) )
    & ( ( ~ c1_1(a53)
        & ndr1_0
        & ~ c0_1(a53)
        & c3_1(a53) )
      | ~ hskp23 )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c1_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c0_1(X46)
            | c3_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( ( c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( hskp15
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | ~ c3_1(X17)
            | c1_1(X17) ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a16)
        & ~ c3_1(a16)
        & c0_1(a16) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c2_1(X2)
            | c3_1(X2) ) )
      | hskp6
      | hskp26 )
    & ( ( ndr1_0
        & ~ c0_1(a1)
        & ~ c2_1(a1)
        & c3_1(a1) )
      | ~ hskp0 )
    & ( hskp13
      | hskp7
      | hskp9 )
    & ( hskp21
      | hskp25
      | hskp17 )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ( ndr1_0
        & ~ c0_1(a21)
        & ~ c2_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ~ hskp15
      | ( c1_1(a25)
        & ~ c3_1(a25)
        & ndr1_0
        & c0_1(a25) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & ~ c1_1(a32) ) )
    & ( ~ hskp6
      | ( ~ c2_1(a8)
        & c0_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | c3_1(X0)
            | ~ c2_1(X0) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) )
      | hskp3
      | hskp2 )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( ( ~ c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19)
        & c2_1(a19) )
      | ~ hskp11 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c0_1(X49)
            | ~ c1_1(X49) ) )
      | hskp24
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | ~ c1_1(X4)
            | ~ c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | ~ c1_1(X5) ) )
      | hskp5 )
    & ( hskp4
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c1_1(X38)
            | c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( ( c1_1(a30)
        & ~ c0_1(a30)
        & ndr1_0
        & ~ c2_1(a30) )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2)
        & c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp8
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c0_1(X30)
            | ~ c2_1(X30) ) )
      | hskp9 )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) )
      | hskp10
      | hskp6 )
    & ( hskp8
      | hskp17
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | c3_1(X41)
            | ~ c0_1(X41) ) )
      | hskp26
      | hskp20 )
    & ( ( ~ c0_1(a37)
        & c1_1(a37)
        & ~ c3_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a9)
        & c0_1(a9)
        & c2_1(a9) ) )
    & ( hskp10
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | ~ c3_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c3_1(X15)
            | c0_1(X15) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c1_1(X40)
            | ~ c0_1(X40) ) )
      | hskp13 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | ~ c3_1(X35)
            | ~ c1_1(X35) ) )
      | hskp9
      | hskp24 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c2_1(X26)
            | c3_1(X26) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c0_1(X25)
            | ~ c1_1(X25) ) ) )
    & ( hskp18
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c2_1(X1)
            | ~ c0_1(X1) ) )
      | hskp17 )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c2_1(X13)
            | ~ c0_1(X13) ) )
      | hskp4 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( hskp16
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c2_1(X6)
            | ~ c0_1(X6) ) )
      | hskp26 )
    & ( hskp0
      | hskp23
      | hskp24 )
    & ( hskp19
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c3_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | ~ c0_1(X58) ) ) )
    & ( ~ hskp24
      | ( c2_1(a3)
        & c1_1(a3)
        & ndr1_0
        & c3_1(a3) ) )
    & ( ( ~ c2_1(a14)
        & ndr1_0
        & c0_1(a14)
        & c3_1(a14) )
      | ~ hskp7 )
    & ( ~ hskp4
      | ( ~ c2_1(a6)
        & ndr1_0
        & c3_1(a6)
        & c1_1(a6) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | c3_1(X34)
            | c0_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c1_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) ) )
    & ( ~ hskp22
      | ( ~ c1_1(a45)
        & ~ c3_1(a45)
        & c0_1(a45)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c1_1(a31)
        & ndr1_0
        & c0_1(a31)
        & c2_1(a31) ) )
    & ( hskp25
      | hskp26
      | ! [X62] :
          ( ndr1_0
         => ( c3_1(X62)
            | c0_1(X62)
            | ~ c2_1(X62) ) ) )
    & ( ( c3_1(a7)
        & ndr1_0
        & c1_1(a7)
        & ~ c0_1(a7) )
      | ~ hskp5 )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c1_1(X36)
            | c2_1(X36) ) )
      | hskp14
      | hskp2 )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c0_1(X27)
            | c1_1(X27) ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ~ c3_1(a5) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( c1_1(a4)
            & ~ c3_1(a4)
            & ndr1_0
            & ~ c2_1(a4) )
          | ~ hskp2 )
        & ( ~ hskp26
          | ( c2_1(a10)
            & c3_1(a10)
            & ndr1_0
            & c0_1(a10) ) )
        & ( hskp0
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | c2_1(X12) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c1_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15) ) )
        & ( hskp12
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c3_1(X57)
                | ~ c2_1(X57) ) )
          | hskp27 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c3_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp6 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp11
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c2_1(X61)
                | c3_1(X61) ) ) )
        & ( ( ~ c2_1(a22)
            & ~ c3_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( hskp27
          | hskp7
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ( ndr1_0
            & c0_1(a11)
            & c1_1(a11)
            & c3_1(a11) )
          | ~ hskp27 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c3_1(X19)
                | c2_1(X19) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c1_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c0_1(X42)
                | c3_1(X42) ) ) )
        & ( hskp26
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c1_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a33)
            & c3_1(a33)
            & c2_1(a33) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c2_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) )
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( ( ~ c1_1(a53)
            & ndr1_0
            & ~ c0_1(a53)
            & c3_1(a53) )
          | ~ hskp23 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c0_1(X46)
                | c3_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ( c0_1(a18)
            & c2_1(a18)
            & ~ c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a24)
            & ~ c0_1(a24)
            & ~ c1_1(a24) ) )
        & ( hskp15
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c3_1(X17)
                | c1_1(X17) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c2_1(a16)
            & ~ c3_1(a16)
            & c0_1(a16) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c2_1(X2)
                | c3_1(X2) ) )
          | hskp6
          | hskp26 )
        & ( ( ndr1_0
            & ~ c0_1(a1)
            & ~ c2_1(a1)
            & c3_1(a1) )
          | ~ hskp0 )
        & ( hskp13
          | hskp7
          | hskp9 )
        & ( hskp21
          | hskp25
          | hskp17 )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ( ndr1_0
            & ~ c0_1(a21)
            & ~ c2_1(a21)
            & ~ c1_1(a21) )
          | ~ hskp12 )
        & ( ~ hskp15
          | ( c1_1(a25)
            & ~ c3_1(a25)
            & ndr1_0
            & c0_1(a25) ) )
        & ( ~ hskp18
          | ( ~ c0_1(a32)
            & ndr1_0
            & ~ c3_1(a32)
            & ~ c1_1(a32) ) )
        & ( ~ hskp6
          | ( ~ c2_1(a8)
            & c0_1(a8)
            & c1_1(a8)
            & ndr1_0 ) )
        & ( hskp7
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c3_1(X0)
                | ~ c2_1(X0) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) )
          | hskp3
          | hskp2 )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ( ~ c1_1(a19)
            & ndr1_0
            & ~ c3_1(a19)
            & c2_1(a19) )
          | ~ hskp11 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp24
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c1_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c1_1(X5) ) )
          | hskp5 )
        & ( hskp4
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( ( c1_1(a30)
            & ~ c0_1(a30)
            & ndr1_0
            & ~ c2_1(a30) )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2)
            & c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( hskp8
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) )
          | hskp9 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | hskp10
          | hskp6 )
        & ( hskp8
          | hskp17
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | ~ c0_1(X41) ) )
          | hskp26
          | hskp20 )
        & ( ( ~ c0_1(a37)
            & c1_1(a37)
            & ~ c3_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a9)
            & c0_1(a9)
            & c2_1(a9) ) )
        & ( hskp10
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c3_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c3_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | ~ c0_1(X40) ) )
          | hskp13 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c3_1(X35)
                | ~ c1_1(X35) ) )
          | hskp9
          | hskp24 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c2_1(X26)
                | c3_1(X26) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | ~ c1_1(X25) ) ) )
        & ( hskp18
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c2_1(X1)
                | ~ c0_1(X1) ) )
          | hskp17 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c0_1(X13) ) )
          | hskp4 )
        & ( hskp22
          | hskp26
          | hskp6 )
        & ( hskp16
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c2_1(X6)
                | ~ c0_1(X6) ) )
          | hskp26 )
        & ( hskp0
          | hskp23
          | hskp24 )
        & ( hskp19
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c3_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) ) )
        & ( ~ hskp24
          | ( c2_1(a3)
            & c1_1(a3)
            & ndr1_0
            & c3_1(a3) ) )
        & ( ( ~ c2_1(a14)
            & ndr1_0
            & c0_1(a14)
            & c3_1(a14) )
          | ~ hskp7 )
        & ( ~ hskp4
          | ( ~ c2_1(a6)
            & ndr1_0
            & c3_1(a6)
            & c1_1(a6) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | c3_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( ~ hskp22
          | ( ~ c1_1(a45)
            & ~ c3_1(a45)
            & c0_1(a45)
            & ndr1_0 ) )
        & ( ~ hskp17
          | ( ~ c1_1(a31)
            & ndr1_0
            & c0_1(a31)
            & c2_1(a31) ) )
        & ( hskp25
          | hskp26
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | c0_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( ( c3_1(a7)
            & ndr1_0
            & c1_1(a7)
            & ~ c0_1(a7) )
          | ~ hskp5 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c1_1(X36)
                | c2_1(X36) ) )
          | hskp14
          | hskp2 )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c0_1(X27)
                | c1_1(X27) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c2_1(a5)
            & ~ c1_1(a5)
            & ~ c3_1(a5) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) ) )
        & ( hskp17
          | hskp18
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c3_1(X57)
                | ~ c0_1(X57) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | hskp26
          | hskp6 )
        & ( ~ hskp15
          | ( c1_1(a25)
            & ~ c3_1(a25)
            & ndr1_0
            & c0_1(a25) ) )
        & ( ( ~ c3_1(a2)
            & c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( hskp26
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | hskp27 )
        & ( ( ~ c2_1(a22)
            & ~ c3_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | hskp5 )
        & ( hskp16
          | hskp26
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | hskp10 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c1_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c0_1(X3)
                | c1_1(X3) ) )
          | hskp0 )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ( c0_1(a18)
            & c2_1(a18)
            & ~ c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c0_1(X39)
                | ~ c3_1(X39) ) )
          | hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ( ~ c0_1(a37)
            & c1_1(a37)
            & ~ c3_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp17
          | ( ~ c1_1(a31)
            & ndr1_0
            & c0_1(a31)
            & c2_1(a31) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) ) )
        & ( ( ~ c1_1(a19)
            & ndr1_0
            & ~ c3_1(a19)
            & c2_1(a19) )
          | ~ hskp11 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c3_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c2_1(a16)
            & ~ c3_1(a16)
            & c0_1(a16) ) )
        & ( ( ndr1_0
            & ~ c0_1(a21)
            & ~ c2_1(a21)
            & ~ c1_1(a21) )
          | ~ hskp12 )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c0_1(X28)
                | c2_1(X28) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a33)
            & c3_1(a33)
            & c2_1(a33) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c0_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( ~ hskp6
          | ( ~ c2_1(a8)
            & c0_1(a8)
            & c1_1(a8)
            & ndr1_0 ) )
        & ( hskp8
          | hskp17
          | hskp4 )
        & ( ~ hskp24
          | ( c2_1(a3)
            & c1_1(a3)
            & ndr1_0
            & c3_1(a3) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c1_1(X16)
                | c2_1(X16) ) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15) ) )
        & ( ( c1_1(a4)
            & ~ c3_1(a4)
            & ndr1_0
            & ~ c2_1(a4) )
          | ~ hskp2 )
        & ( hskp8
          | hskp9
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c2_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | hskp7
          | hskp27 )
        & ( ( ~ c1_1(a53)
            & ndr1_0
            & ~ c0_1(a53)
            & c3_1(a53) )
          | ~ hskp23 )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a9)
            & c0_1(a9)
            & c2_1(a9) ) )
        & ( hskp13
          | hskp7
          | hskp9 )
        & ( ( ndr1_0
            & c0_1(a11)
            & c1_1(a11)
            & c3_1(a11) )
          | ~ hskp27 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c1_1(X22)
                | c3_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c2_1(X21)
                | c3_1(X21) ) ) )
        & ( hskp22
          | hskp26
          | hskp6 )
        & ( hskp24
          | hskp9
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c3_1(X60)
                | ~ c1_1(X60) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a1)
            & ~ c2_1(a1)
            & c3_1(a1) )
          | ~ hskp0 )
        & ( hskp2
          | hskp14
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c1_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( ( ~ c2_1(a14)
            & ndr1_0
            & c0_1(a14)
            & c3_1(a14) )
          | ~ hskp7 )
        & ( hskp4
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c1_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ( c3_1(a7)
            & ndr1_0
            & c1_1(a7)
            & ~ c0_1(a7) )
          | ~ hskp5 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | hskp13 )
        & ( hskp26
          | hskp20
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | ~ c0_1(X61) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c2_1(a5)
            & ~ c1_1(a5)
            & ~ c3_1(a5) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c3_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) ) )
        & ( ( c1_1(a30)
            & ~ c0_1(a30)
            & ndr1_0
            & ~ c2_1(a30) )
          | ~ hskp16 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c0_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ~ hskp18
          | ( ~ c0_1(a32)
            & ndr1_0
            & ~ c3_1(a32)
            & ~ c1_1(a32) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c0_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) )
          | hskp24 )
        & ( hskp2
          | hskp3
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c3_1(X7)
                | c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp21
          | hskp25
          | hskp17 )
        & ( ~ hskp26
          | ( c2_1(a10)
            & c3_1(a10)
            & ndr1_0
            & c0_1(a10) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c1_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( hskp27
          | hskp12
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c3_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ~ hskp4
          | ( ~ c2_1(a6)
            & ndr1_0
            & c3_1(a6)
            & c1_1(a6) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a24)
            & ~ c0_1(a24)
            & ~ c1_1(a24) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) )
          | hskp19
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) ) )
        & ( hskp0
          | hskp23
          | hskp24 )
        & ( hskp11
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c0_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ~ hskp22
          | ( ~ c1_1(a45)
            & ~ c3_1(a45)
            & c0_1(a45)
            & ndr1_0 ) )
        & ( hskp25
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c0_1(X33)
                | ~ c2_1(X33) ) )
          | hskp26 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) ) )
      & ( hskp17
        | hskp18
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c3_1(X57)
              | ~ c0_1(X57) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | hskp26
        | hskp6 )
      & ( ~ hskp15
        | ( c1_1(a25)
          & ~ c3_1(a25)
          & ndr1_0
          & c0_1(a25) ) )
      & ( ( ~ c3_1(a2)
          & c2_1(a2)
          & ~ c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a42)
          & c2_1(a42)
          & ~ c1_1(a42) ) )
      & ( hskp26
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | hskp27 )
      & ( ( ~ c2_1(a22)
          & ~ c3_1(a22)
          & ~ c0_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | hskp5 )
      & ( hskp16
        | hskp26
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | c2_1(X53) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( hskp6
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) )
        | hskp10 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c1_1(X4)
              | ~ c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c0_1(X3)
              | c1_1(X3) ) )
        | hskp0 )
      & ( hskp4
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ( c0_1(a18)
          & c2_1(a18)
          & ~ c3_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c0_1(X39)
              | ~ c3_1(X39) ) )
        | hskp10
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c3_1(X40)
              | c1_1(X40) ) ) )
      & ( ( ~ c0_1(a37)
          & c1_1(a37)
          & ~ c3_1(a37)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ~ hskp17
        | ( ~ c1_1(a31)
          & ndr1_0
          & c0_1(a31)
          & c2_1(a31) ) )
      & ( hskp15
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | c1_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c2_1(X48) ) ) )
      & ( ( ~ c1_1(a19)
          & ndr1_0
          & ~ c3_1(a19)
          & c2_1(a19) )
        | ~ hskp11 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c3_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c0_1(X0) ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c2_1(a16)
          & ~ c3_1(a16)
          & c0_1(a16) ) )
      & ( ( ndr1_0
          & ~ c0_1(a21)
          & ~ c2_1(a21)
          & ~ c1_1(a21) )
        | ~ hskp12 )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c0_1(X28)
              | c2_1(X28) ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a33)
          & c3_1(a33)
          & c2_1(a33) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c0_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( ~ hskp6
        | ( ~ c2_1(a8)
          & c0_1(a8)
          & c1_1(a8)
          & ndr1_0 ) )
      & ( hskp8
        | hskp17
        | hskp4 )
      & ( ~ hskp24
        | ( c2_1(a3)
          & c1_1(a3)
          & ndr1_0
          & c3_1(a3) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c1_1(X16)
              | c2_1(X16) ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15) ) )
      & ( ( c1_1(a4)
          & ~ c3_1(a4)
          & ndr1_0
          & ~ c2_1(a4) )
        | ~ hskp2 )
      & ( hskp8
        | hskp9
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c2_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | hskp7
        | hskp27 )
      & ( ( ~ c1_1(a53)
          & ndr1_0
          & ~ c0_1(a53)
          & c3_1(a53) )
        | ~ hskp23 )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a9)
          & c0_1(a9)
          & c2_1(a9) ) )
      & ( hskp13
        | hskp7
        | hskp9 )
      & ( ( ndr1_0
          & c0_1(a11)
          & c1_1(a11)
          & c3_1(a11) )
        | ~ hskp27 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | c1_1(X22)
              | c3_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c2_1(X21)
              | c3_1(X21) ) ) )
      & ( hskp22
        | hskp26
        | hskp6 )
      & ( hskp24
        | hskp9
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c3_1(X60)
              | ~ c1_1(X60) ) ) )
      & ( ( ndr1_0
          & ~ c0_1(a1)
          & ~ c2_1(a1)
          & c3_1(a1) )
        | ~ hskp0 )
      & ( hskp2
        | hskp14
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | c1_1(X46)
              | ~ c0_1(X46) ) ) )
      & ( ( ~ c2_1(a14)
          & ndr1_0
          & c0_1(a14)
          & c3_1(a14) )
        | ~ hskp7 )
      & ( hskp4
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c1_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) ) )
      & ( ( c3_1(a7)
          & ndr1_0
          & c1_1(a7)
          & ~ c0_1(a7) )
        | ~ hskp5 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | hskp13 )
      & ( hskp26
        | hskp20
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | ~ c0_1(X61) ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c2_1(a5)
          & ~ c1_1(a5)
          & ~ c3_1(a5) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c3_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | ~ c0_1(X24)
              | c3_1(X24) ) ) )
      & ( ( c1_1(a30)
          & ~ c0_1(a30)
          & ndr1_0
          & ~ c2_1(a30) )
        | ~ hskp16 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c0_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ~ hskp18
        | ( ~ c0_1(a32)
          & ndr1_0
          & ~ c3_1(a32)
          & ~ c1_1(a32) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c0_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | c3_1(X10)
              | ~ c1_1(X10) ) )
        | hskp24 )
      & ( hskp2
        | hskp3
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | ~ c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c3_1(X7)
              | c0_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp21
        | hskp25
        | hskp17 )
      & ( ~ hskp26
        | ( c2_1(a10)
          & c3_1(a10)
          & ndr1_0
          & c0_1(a10) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c1_1(X49)
              | c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c0_1(X50)
              | ~ c3_1(X50) ) ) )
      & ( hskp27
        | hskp12
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c3_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ~ hskp4
        | ( ~ c2_1(a6)
          & ndr1_0
          & c3_1(a6)
          & c1_1(a6) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a24)
          & ~ c0_1(a24)
          & ~ c1_1(a24) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c2_1(X59)
              | ~ c1_1(X59) ) )
        | hskp19
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c2_1(X58) ) ) )
      & ( hskp0
        | hskp23
        | hskp24 )
      & ( hskp11
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c0_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) ) )
      & ( ~ hskp22
        | ( ~ c1_1(a45)
          & ~ c3_1(a45)
          & c0_1(a45)
          & ndr1_0 ) )
      & ( hskp25
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c0_1(X33)
              | ~ c2_1(X33) ) )
        | hskp26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f873,plain,
    ( spl0_41
    | ~ spl0_3
    | spl0_30
    | spl0_15 ),
    inference(avatar_split_clause,[],[f160,f245,f307,f191,f359]) ).

fof(f191,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f307,plain,
    ( spl0_30
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f160,plain,
    ! [X21,X20] :
      ( c3_1(X20)
      | hskp1
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c3_1(X21)
      | c0_1(X20)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f100]) ).

fof(f100,plain,
    ! [X21,X20] :
      ( c3_1(X20)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | c1_1(X21)
      | c1_1(X20)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X20)
      | hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f871,plain,
    ( spl0_143
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f94,f204,f868]) ).

fof(f204,plain,
    ( spl0_6
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f94,plain,
    ( ~ hskp10
    | c0_1(a18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( spl0_142
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f28,f535,f863]) ).

fof(f535,plain,
    ( spl0_79
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f28,plain,
    ( ~ hskp25
    | c1_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f861,plain,
    ( spl0_60
    | spl0_97
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f161,f386,f191,f630,f446]) ).

fof(f161,plain,
    ! [X40,X41,X39] :
      ( c2_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | c3_1(X39)
      | c0_1(X39)
      | c0_1(X41)
      | c2_1(X40)
      | c1_1(X40)
      | c0_1(X40)
      | c2_1(X39) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X40,X41,X39] :
      ( ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X41)
      | c0_1(X39)
      | c2_1(X40)
      | c0_1(X40)
      | c1_1(X40)
      | c0_1(X41) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( spl0_141
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f105,f257,f857]) ).

fof(f105,plain,
    ( ~ hskp24
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f855,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_140
    | spl0_15 ),
    inference(avatar_split_clause,[],[f162,f245,f853,f257,f191]) ).

fof(f162,plain,
    ! [X18,X19] :
      ( c3_1(X19)
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | hskp24
      | c1_1(X19)
      | ~ ndr1_0
      | c0_1(X19) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X18,X19] :
      ( ~ c1_1(X18)
      | c0_1(X19)
      | c3_1(X18)
      | c1_1(X19)
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c0_1(X18)
      | hskp24
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( ~ spl0_139
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f52,f571,f847]) ).

fof(f52,plain,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( ~ spl0_4
    | spl0_138 ),
    inference(avatar_split_clause,[],[f128,f842,f195]) ).

fof(f195,plain,
    ( spl0_4
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f128,plain,
    ( c2_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f834,plain,
    ( spl0_136
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f96,f429,f831]) ).

fof(f429,plain,
    ( spl0_56
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f96,plain,
    ( ~ hskp4
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f829,plain,
    ( ~ spl0_135
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f137,f510,f826]) ).

fof(f510,plain,
    ( spl0_74
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f137,plain,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( spl0_79
    | spl0_4
    | ~ spl0_3
    | spl0_106 ),
    inference(avatar_split_clause,[],[f78,f673,f191,f195,f535]) ).

fof(f78,plain,
    ! [X26] :
      ( ~ c2_1(X26)
      | ~ ndr1_0
      | c3_1(X26)
      | c0_1(X26)
      | hskp26
      | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( ~ spl0_134
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f98,f429,f820]) ).

fof(f98,plain,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( spl0_6
    | ~ spl0_3
    | spl0_41
    | spl0_118 ),
    inference(avatar_split_clause,[],[f163,f734,f359,f191,f204]) ).

fof(f163,plain,
    ! [X51,X52] :
      ( ~ c3_1(X51)
      | ~ c3_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | c0_1(X51)
      | ~ c2_1(X52)
      | hskp10
      | ~ c1_1(X51) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f41,plain,
    ! [X51,X52] :
      ( ~ c2_1(X52)
      | ~ c3_1(X51)
      | ~ c3_1(X52)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X51)
      | c1_1(X52)
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f817,plain,
    ( ~ spl0_3
    | spl0_106
    | spl0_7
    | spl0_107 ),
    inference(avatar_split_clause,[],[f164,f677,f208,f673,f191]) ).

fof(f164,plain,
    ! [X62,X60,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | ~ c1_1(X60)
      | c0_1(X62)
      | ~ c2_1(X62)
      | ~ c0_1(X60)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | c2_1(X61) ),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f12,plain,
    ! [X62,X60,X61] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | c3_1(X62)
      | c0_1(X62)
      | c2_1(X61)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c3_1(X61) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f815,plain,
    ( ~ spl0_26
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f119,f812,f291]) ).

fof(f291,plain,
    ( spl0_26
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f119,plain,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f805,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f146,f352,f191,f186]) ).

fof(f186,plain,
    ( spl0_2
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f146,plain,
    ! [X10] :
      ( ~ c2_1(X10)
      | c1_1(X10)
      | ~ ndr1_0
      | c3_1(X10)
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f804,plain,
    ( spl0_131
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f49,f571,f801]) ).

fof(f49,plain,
    ( ~ hskp23
    | c3_1(a53) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f799,plain,
    ( ~ spl0_79
    | spl0_130 ),
    inference(avatar_split_clause,[],[f26,f796,f535]) ).

fof(f26,plain,
    ( c2_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( spl0_128
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f86,f186,f786]) ).

fof(f86,plain,
    ( ~ hskp7
    | c0_1(a14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f784,plain,
    ( ~ spl0_36
    | spl0_127 ),
    inference(avatar_split_clause,[],[f112,f781,f337]) ).

fof(f337,plain,
    ( spl0_36
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f112,plain,
    ( c3_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f779,plain,
    ( ~ spl0_126
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f62,f482,f776]) ).

fof(f482,plain,
    ( spl0_68
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f62,plain,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f774,plain,
    ( spl0_36
    | ~ spl0_3
    | spl0_124
    | spl0_125 ),
    inference(avatar_split_clause,[],[f165,f772,f769,f191,f337]) ).

fof(f165,plain,
    ! [X31,X30] :
      ( c2_1(X30)
      | ~ c1_1(X31)
      | c0_1(X30)
      | c3_1(X31)
      | ~ c1_1(X30)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ! [X31,X30] :
      ( ~ c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c1_1(X30)
      | c2_1(X30)
      | hskp5
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c1_1(X31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( ~ spl0_79
    | spl0_123 ),
    inference(avatar_split_clause,[],[f27,f764,f535]) ).

fof(f27,plain,
    ( c0_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( spl0_14
    | spl0_7
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f166,f261,f191,f208,f239]) ).

fof(f239,plain,
    ( spl0_14
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f166,plain,
    ! [X36,X35] :
      ( ~ c3_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f60,plain,
    ! [X36,X35] :
      ( ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | hskp19
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( ~ spl0_33
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f24,f758,f322]) ).

fof(f322,plain,
    ( spl0_33
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f24,plain,
    ( ~ c3_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_23
    | spl0_3 ),
    inference(avatar_split_clause,[],[f35,f191,f277]) ).

fof(f277,plain,
    ( spl0_23
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f752,plain,
    ( spl0_121
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f34,f277,f749]) ).

fof(f34,plain,
    ( ~ hskp17
    | c0_1(a31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f747,plain,
    ( ~ spl0_20
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f130,f744,f264]) ).

fof(f264,plain,
    ( spl0_20
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f130,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f737,plain,
    ( spl0_68
    | spl0_42
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f17,f322,f191,f362,f482]) ).

fof(f17,plain,
    ! [X59] :
      ( hskp2
      | ~ ndr1_0
      | ~ c2_1(X59)
      | hskp3
      | c0_1(X59)
      | c1_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f736,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_118
    | spl0_98 ),
    inference(avatar_split_clause,[],[f167,f633,f734,f191,f429]) ).

fof(f167,plain,
    ! [X38,X37] :
      ( c3_1(X37)
      | c0_1(X38)
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X37)
      | ~ c0_1(X37)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ! [X38,X37] :
      ( ~ c1_1(X38)
      | ~ c3_1(X38)
      | c0_1(X38)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | hskp4
      | ~ c0_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f732,plain,
    ( ~ spl0_58
    | spl0_117 ),
    inference(avatar_split_clause,[],[f155,f729,f437]) ).

fof(f437,plain,
    ( spl0_58
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f155,plain,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( ~ spl0_116
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f101,f269,f724]) ).

fof(f269,plain,
    ( spl0_21
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f101,plain,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( ~ spl0_115
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f120,f291,f719]) ).

fof(f120,plain,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f717,plain,
    ( ~ spl0_14
    | spl0_114 ),
    inference(avatar_split_clause,[],[f148,f714,f239]) ).

fof(f148,plain,
    ( c3_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f712,plain,
    ( ~ spl0_3
    | spl0_92
    | spl0_43
    | spl0_107 ),
    inference(avatar_split_clause,[],[f168,f677,f366,f601,f191]) ).

fof(f168,plain,
    ! [X50,X48,X49] :
      ( c2_1(X50)
      | c2_1(X48)
      | c3_1(X48)
      | ~ c1_1(X50)
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | ~ c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f42,plain,
    ! [X50,X48,X49] :
      ( c3_1(X48)
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X49)
      | ~ c1_1(X50) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f711,plain,
    ( ~ spl0_20
    | spl0_113 ),
    inference(avatar_split_clause,[],[f129,f708,f264]) ).

fof(f129,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f706,plain,
    ( ~ spl0_9
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f74,f703,f216]) ).

fof(f74,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f701,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f97,f429,f191]) ).

fof(f97,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( spl0_111
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f122,f328,f697]) ).

fof(f328,plain,
    ( spl0_34
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f122,plain,
    ( ~ hskp27
    | c1_1(a11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f695,plain,
    ( spl0_20
    | spl0_2
    | spl0_26 ),
    inference(avatar_split_clause,[],[f90,f291,f186,f264]) ).

fof(f90,plain,
    ( hskp13
    | hskp7
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f694,plain,
    ( ~ spl0_110
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f102,f269,f691]) ).

fof(f102,plain,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f689,plain,
    ( ~ spl0_109
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f64,f482,f686]) ).

fof(f64,plain,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f684,plain,
    ( spl0_108
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f136,f510,f681]) ).

fof(f136,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f668,plain,
    ( spl0_66
    | ~ spl0_3
    | spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f171,f666,f274,f191,f473]) ).

fof(f473,plain,
    ( spl0_66
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f171,plain,
    ! [X4,X5] :
      ( c1_1(X4)
      | c2_1(X4)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | hskp15
      | c2_1(X5)
      | ~ c3_1(X5)
      | ~ c3_1(X4) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X4,X5] :
      ( ~ c3_1(X5)
      | c1_1(X4)
      | c2_1(X4)
      | ~ ndr1_0
      | ~ c0_1(X5)
      | hskp15
      | ~ c3_1(X4)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f664,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_33
    | spl0_10 ),
    inference(avatar_split_clause,[],[f70,f221,f322,f295,f191]) ).

fof(f221,plain,
    ( spl0_10
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f70,plain,
    ! [X32] :
      ( hskp14
      | hskp2
      | c1_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f663,plain,
    ( ~ spl0_32
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f45,f660,f316]) ).

fof(f316,plain,
    ( spl0_32
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f45,plain,
    ( ~ c0_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f658,plain,
    ( ~ spl0_33
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f22,f655,f322]) ).

fof(f22,plain,
    ( ~ c2_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f653,plain,
    ( spl0_101
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f121,f328,f650]) ).

fof(f121,plain,
    ( ~ hskp27
    | c3_1(a11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f647,plain,
    ( spl0_100
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f144,f286,f644]) ).

fof(f286,plain,
    ( spl0_25
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f144,plain,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f640,plain,
    ( ~ spl0_6
    | spl0_99 ),
    inference(avatar_split_clause,[],[f93,f637,f204]) ).

fof(f93,plain,
    ( c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( spl0_19
    | ~ spl0_3
    | spl0_97
    | spl0_98 ),
    inference(avatar_split_clause,[],[f172,f633,f630,f191,f261]) ).

fof(f172,plain,
    ! [X8,X9,X7] :
      ( c3_1(X8)
      | c3_1(X7)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c2_1(X9)
      | ~ c1_1(X9)
      | c1_1(X8)
      | ~ c3_1(X9)
      | c2_1(X7)
      | c0_1(X7) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X8,X9,X7] :
      ( c1_1(X8)
      | ~ ndr1_0
      | c3_1(X8)
      | ~ c1_1(X9)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c2_1(X7)
      | c0_1(X7)
      | ~ ndr1_0
      | c2_1(X9)
      | c3_1(X7)
      | ~ c3_1(X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f628,plain,
    ( spl0_46
    | spl0_23
    | spl0_56 ),
    inference(avatar_split_clause,[],[f61,f429,f277,f380]) ).

fof(f380,plain,
    ( spl0_46
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f61,plain,
    ( hskp4
    | hskp17
    | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f627,plain,
    ( ~ spl0_58
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f154,f624,f437]) ).

fof(f154,plain,
    ( ~ c1_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f622,plain,
    ( spl0_85
    | ~ spl0_3
    | spl0_74
    | spl0_95 ),
    inference(avatar_split_clause,[],[f173,f620,f510,f191,f566]) ).

fof(f173,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | hskp11
      | ~ c3_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c3_1(X46)
      | ~ c0_1(X46)
      | ~ c2_1(X45) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f48,plain,
    ! [X46,X45] :
      ( hskp11
      | c3_1(X46)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X46)
      | ~ c2_1(X46)
      | c0_1(X45)
      | ~ c3_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f618,plain,
    ( ~ spl0_32
    | spl0_94 ),
    inference(avatar_split_clause,[],[f46,f615,f316]) ).

fof(f46,plain,
    ( c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f611,plain,
    ( spl0_58
    | spl0_79
    | spl0_23 ),
    inference(avatar_split_clause,[],[f67,f277,f535,f437]) ).

fof(f67,plain,
    ( hskp17
    | hskp25
    | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( spl0_93
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f107,f257,f605]) ).

fof(f107,plain,
    ( ~ hskp24
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f603,plain,
    ( ~ spl0_3
    | spl0_92
    | spl0_39 ),
    inference(avatar_split_clause,[],[f174,f352,f601,f191]) ).

fof(f174,plain,
    ! [X22,X23] :
      ( c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X22)
      | c3_1(X23)
      | ~ c0_1(X22) ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f99,plain,
    ! [X22,X23] :
      ( ~ c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X23)
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f594,plain,
    ( spl0_90
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f8,f473,f591]) ).

fof(f8,plain,
    ( ~ hskp15
    | c0_1(a25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f589,plain,
    ( spl0_46
    | spl0_20
    | spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f89,f191,f248,f264,f380]) ).

fof(f89,plain,
    ! [X24] :
      ( ~ ndr1_0
      | ~ c2_1(X24)
      | hskp9
      | c0_1(X24)
      | ~ c1_1(X24)
      | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f588,plain,
    ( ~ spl0_5
    | spl0_89 ),
    inference(avatar_split_clause,[],[f38,f585,f200]) ).

fof(f200,plain,
    ( spl0_5
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f38,plain,
    ( c1_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( ~ spl0_88
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f57,f380,f580]) ).

fof(f57,plain,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f50,f575,f571]) ).

fof(f50,plain,
    ( ~ c0_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f569,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f135,f248,f195,f328,f191]) ).

fof(f135,plain,
    ! [X15] :
      ( ~ c2_1(X15)
      | ~ c1_1(X15)
      | hskp26
      | hskp27
      | c0_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f568,plain,
    ( spl0_25
    | spl0_4
    | ~ spl0_3
    | spl0_85 ),
    inference(avatar_split_clause,[],[f69,f566,f191,f195,f286]) ).

fof(f69,plain,
    ! [X33] :
      ( ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | hskp26
      | hskp20
      | c3_1(X33) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f564,plain,
    ( spl0_84
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f11,f473,f561]) ).

fof(f11,plain,
    ( ~ hskp15
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_10
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f81,f556,f221]) ).

fof(f81,plain,
    ( ~ c0_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f59,f380,f191]) ).

fof(f59,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f553,plain,
    ( ~ spl0_21
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f104,f550,f269]) ).

fof(f104,plain,
    ( ~ c0_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f548,plain,
    ( spl0_81
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f125,f195,f545]) ).

fof(f125,plain,
    ( ~ hskp26
    | c0_1(a10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f543,plain,
    ( ~ spl0_80
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f16,f307,f540]) ).

fof(f16,plain,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f533,plain,
    ( ~ spl0_5
    | spl0_78 ),
    inference(avatar_split_clause,[],[f39,f530,f200]) ).

fof(f39,plain,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f528,plain,
    ( ~ spl0_25
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f145,f525,f286]) ).

fof(f145,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f523,plain,
    ( spl0_76
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f15,f307,f520]) ).

fof(f15,plain,
    ( ~ hskp1
    | c2_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f518,plain,
    ( ~ spl0_26
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f118,f515,f291]) ).

fof(f118,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f513,plain,
    ( ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f139,f510,f506]) ).

fof(f139,plain,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f504,plain,
    ( spl0_72
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f95,f429,f501]) ).

fof(f95,plain,
    ( ~ hskp4
    | c1_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f499,plain,
    ( spl0_71
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f33,f277,f496]) ).

fof(f33,plain,
    ( ~ hskp17
    | c2_1(a31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f489,plain,
    ( ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f63,f486,f482]) ).

fof(f63,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f480,plain,
    ( ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f10,f477,f473]) ).

fof(f10,plain,
    ( ~ c3_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f471,plain,
    ( ~ spl0_10
    | spl0_65 ),
    inference(avatar_split_clause,[],[f82,f468,f221]) ).

fof(f82,plain,
    ( c2_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f466,plain,
    ( spl0_64
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f110,f337,f463]) ).

fof(f110,plain,
    ( ~ hskp5
    | c1_1(a7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f461,plain,
    ( ~ spl0_33
    | spl0_63 ),
    inference(avatar_split_clause,[],[f25,f458,f322]) ).

fof(f25,plain,
    ( c1_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f456,plain,
    ( spl0_62
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f58,f380,f453]) ).

fof(f58,plain,
    ( ~ hskp8
    | c0_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f451,plain,
    ( ~ spl0_3
    | spl0_60
    | spl0_61
    | spl0_9 ),
    inference(avatar_split_clause,[],[f175,f216,f449,f446,f191]) ).

fof(f175,plain,
    ! [X11,X12] :
      ( hskp0
      | c1_1(X11)
      | c2_1(X12)
      | ~ c2_1(X11)
      | c1_1(X12)
      | ~ ndr1_0
      | c0_1(X12)
      | ~ c0_1(X11) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X11,X12] :
      ( ~ ndr1_0
      | c0_1(X12)
      | hskp0
      | c1_1(X12)
      | c2_1(X12)
      | c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | ~ c0_1(X11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f444,plain,
    ( ~ spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f156,f441,f437]) ).

fof(f156,plain,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f435,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_57
    | spl0_27 ),
    inference(avatar_split_clause,[],[f176,f295,f433,f191,f429]) ).

fof(f176,plain,
    ! [X28,X27] :
      ( c1_1(X27)
      | ~ c3_1(X28)
      | c0_1(X28)
      | c1_1(X28)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | c2_1(X27)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X28,X27] :
      ( ~ c3_1(X28)
      | c0_1(X28)
      | ~ ndr1_0
      | c1_1(X27)
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | hskp4
      | c1_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f418,plain,
    ( ~ spl0_30
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f14,f415,f307]) ).

fof(f14,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f413,plain,
    ( ~ spl0_52
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f40,f200,f410]) ).

fof(f40,plain,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f407,plain,
    ( ~ spl0_51
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f92,f204,f404]) ).

fof(f92,plain,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f401,plain,
    ( ~ spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f108,f398,f257]) ).

fof(f108,plain,
    ( c2_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f396,plain,
    ( ~ spl0_34
    | spl0_49 ),
    inference(avatar_split_clause,[],[f123,f393,f328]) ).

fof(f123,plain,
    ( c0_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f391,plain,
    ( ~ spl0_3
    | spl0_47
    | spl0_5
    | spl0_48 ),
    inference(avatar_split_clause,[],[f177,f389,f200,f386,f191]) ).

fof(f177,plain,
    ! [X14,X13] :
      ( ~ c3_1(X13)
      | hskp6
      | ~ c1_1(X13)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c2_1(X13)
      | c2_1(X14) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X14,X13] :
      ( ~ c3_1(X14)
      | ~ c2_1(X13)
      | hskp6
      | c2_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c0_1(X14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f383,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f56,f380,f376]) ).

fof(f56,plain,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( ~ spl0_14
    | spl0_44 ),
    inference(avatar_split_clause,[],[f147,f371,f239]) ).

fof(f147,plain,
    ( c2_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f368,plain,
    ( spl0_32
    | spl0_4
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f47,f366,f191,f195,f316]) ).

fof(f47,plain,
    ! [X47] :
      ( c2_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c3_1(X47)
      | hskp26
      | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f364,plain,
    ( spl0_40
    | ~ spl0_3
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f178,f362,f359,f191,f356]) ).

fof(f178,plain,
    ! [X2,X3,X1] :
      ( c0_1(X1)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X3)
      | c1_1(X1)
      | c3_1(X3)
      | ~ c2_1(X2)
      | c1_1(X2)
      | ~ c1_1(X3) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X2,X3,X1] :
      ( ~ c2_1(X2)
      | c1_1(X1)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | c1_1(X2)
      | c0_1(X3)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f350,plain,
    ( ~ spl0_38
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f36,f277,f347]) ).

fof(f36,plain,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f345,plain,
    ( ~ spl0_37
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f131,f264,f342]) ).

fof(f131,plain,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f340,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f109,f337,f333]) ).

fof(f109,plain,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f319,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f43,f316,f312]) ).

fof(f43,plain,
    ( ~ hskp16
    | ~ c2_1(a30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    ( ~ spl0_29
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f75,f216,f302]) ).

fof(f75,plain,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f300,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f179,f298,f295,f291,f191]) ).

fof(f179,plain,
    ! [X58,X57] :
      ( c1_1(X57)
      | ~ c0_1(X57)
      | c2_1(X58)
      | ~ c0_1(X58)
      | hskp13
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,plain,
    ! [X58,X57] :
      ( hskp13
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | c2_1(X58)
      | c1_1(X57)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | c1_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f289,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f143,f286,f282]) ).

fof(f143,plain,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f280,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f68,f277,f269,f274,f191]) ).

fof(f68,plain,
    ! [X34] :
      ( hskp17
      | hskp18
      | ~ c0_1(X34)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c3_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f267,plain,
    ( spl0_18
    | spl0_19
    | spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f72,f191,f264,f261,f257]) ).

fof(f72,plain,
    ! [X29] :
      ( ~ ndr1_0
      | hskp9
      | ~ c3_1(X29)
      | hskp24
      | c2_1(X29)
      | ~ c1_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f255,plain,
    ( spl0_17
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f127,f195,f252]) ).

fof(f127,plain,
    ( ~ hskp26
    | c3_1(a10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f250,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f180,f248,f245,f191]) ).

fof(f180,plain,
    ! [X16,X17] :
      ( ~ c2_1(X16)
      | c0_1(X16)
      | ~ c1_1(X16)
      | c0_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X16,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | ~ ndr1_0
      | c0_1(X16)
      | ~ ndr1_0
      | c3_1(X17) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f242,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f149,f239,f235]) ).

fof(f149,plain,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f233,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f88,f186,f230]) ).

fof(f88,plain,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f228,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f80,f225,f221]) ).

fof(f80,plain,
    ( ~ c1_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f219,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f73,f216,f212]) ).

fof(f73,plain,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f210,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f152,f191,f208,f204,f200]) ).

fof(f152,plain,
    ! [X6] :
      ( ~ ndr1_0
      | ~ c1_1(X6)
      | hskp10
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f189,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f85,f186,f182]) ).

fof(f85,plain,
    ( ~ hskp7
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:56:03 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (16710)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (16703)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (16713)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (16727)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.49  % (16722)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.49  % (16714)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.49  % (16719)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49  % (16706)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (16709)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (16711)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (16729)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.50  Detected maximum model sizes of [28]
% 0.18/0.50  TRYING [1]
% 0.18/0.50  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.51  % (16704)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (16702)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (16715)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52  % (16701)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (16705)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (16701)Refutation not found, incomplete strategy% (16701)------------------------------
% 0.18/0.52  % (16701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16701)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (16701)Memory used [KB]: 6140
% 0.18/0.52  % (16701)Time elapsed: 0.126 s
% 0.18/0.52  % (16701)Instructions burned: 10 (million)
% 0.18/0.52  % (16701)------------------------------
% 0.18/0.52  % (16701)------------------------------
% 0.18/0.52  % (16720)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.52  % (16716)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  TRYING [4]
% 0.18/0.52  % (16700)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.53  % (16724)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (16708)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (16723)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.53  % (16726)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  Detected maximum model sizes of [28]
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (16725)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (16707)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (16728)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (16721)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (16718)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (16707)Instruction limit reached!
% 0.18/0.54  % (16707)------------------------------
% 0.18/0.54  % (16707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16707)Termination reason: Unknown
% 0.18/0.54  % (16707)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16707)Memory used [KB]: 6012
% 0.18/0.54  % (16707)Time elapsed: 0.009 s
% 0.18/0.54  % (16707)Instructions burned: 7 (million)
% 0.18/0.54  % (16712)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (16707)------------------------------
% 0.18/0.54  % (16707)------------------------------
% 0.18/0.54  % (16717)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.55  Detected maximum model sizes of [28]
% 0.18/0.55  % (16708)Instruction limit reached!
% 0.18/0.55  % (16708)------------------------------
% 0.18/0.55  % (16708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (16708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16708)Termination reason: Unknown
% 0.18/0.55  % (16708)Termination phase: Clausification
% 0.18/0.55  
% 0.18/0.55  % (16708)Memory used [KB]: 1151
% 0.18/0.55  % (16708)Time elapsed: 0.005 s
% 0.18/0.55  % (16708)Instructions burned: 3 (million)
% 0.18/0.55  % (16708)------------------------------
% 0.18/0.55  % (16708)------------------------------
% 0.18/0.55  % (16703)Instruction limit reached!
% 0.18/0.55  % (16703)------------------------------
% 0.18/0.55  % (16703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  TRYING [4]
% 0.18/0.56  % (16706)Instruction limit reached!
% 0.18/0.56  % (16706)------------------------------
% 0.18/0.56  % (16706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  TRYING [1]
% 0.18/0.56  TRYING [2]
% 0.18/0.56  % (16702)Instruction limit reached!
% 0.18/0.56  % (16702)------------------------------
% 0.18/0.56  % (16702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16703)Termination reason: Unknown
% 0.18/0.57  % (16703)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (16703)Memory used [KB]: 6652
% 0.18/0.57  % (16703)Time elapsed: 0.151 s
% 0.18/0.57  % (16703)Instructions burned: 52 (million)
% 0.18/0.57  % (16703)------------------------------
% 0.18/0.57  % (16703)------------------------------
% 0.18/0.57  TRYING [3]
% 0.18/0.57  % (16710)Instruction limit reached!
% 0.18/0.57  % (16710)------------------------------
% 0.18/0.57  % (16710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16710)Termination reason: Unknown
% 0.18/0.57  % (16710)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (16710)Memory used [KB]: 6652
% 0.18/0.57  % (16710)Time elapsed: 0.166 s
% 0.18/0.57  % (16710)Instructions burned: 50 (million)
% 0.18/0.57  % (16710)------------------------------
% 0.18/0.57  % (16710)------------------------------
% 0.18/0.58  TRYING [4]
% 0.18/0.58  % (16706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (16706)Termination reason: Unknown
% 0.18/0.58  % (16706)Termination phase: Finite model building SAT solving
% 0.18/0.58  
% 0.18/0.58  % (16706)Memory used [KB]: 6012
% 0.18/0.58  % (16706)Time elapsed: 0.102 s
% 0.18/0.58  % (16706)Instructions burned: 52 (million)
% 0.18/0.58  % (16706)------------------------------
% 0.18/0.58  % (16706)------------------------------
% 0.18/0.58  % (16729)First to succeed.
% 0.18/0.58  % (16702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (16702)Termination reason: Unknown
% 0.18/0.58  % (16702)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (16702)Memory used [KB]: 1407
% 0.18/0.58  % (16702)Time elapsed: 0.158 s
% 0.18/0.58  % (16702)Instructions burned: 37 (million)
% 0.18/0.58  % (16702)------------------------------
% 0.18/0.58  % (16702)------------------------------
% 0.18/0.59  % (16714)Instruction limit reached!
% 0.18/0.59  % (16714)------------------------------
% 0.18/0.59  % (16714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (16714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (16714)Termination reason: Unknown
% 0.18/0.59  % (16714)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (16714)Memory used [KB]: 6268
% 0.18/0.59  % (16714)Time elapsed: 0.045 s
% 0.18/0.59  % (16714)Instructions burned: 68 (million)
% 0.18/0.59  % (16714)------------------------------
% 0.18/0.59  % (16714)------------------------------
% 2.01/0.60  % (16709)Instruction limit reached!
% 2.01/0.60  % (16709)------------------------------
% 2.01/0.60  % (16709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60  % (16709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60  % (16709)Termination reason: Unknown
% 2.01/0.60  % (16709)Termination phase: Saturation
% 2.01/0.60  
% 2.01/0.60  % (16709)Memory used [KB]: 1407
% 2.01/0.60  % (16709)Time elapsed: 0.209 s
% 2.01/0.60  % (16709)Instructions burned: 52 (million)
% 2.01/0.60  % (16709)------------------------------
% 2.01/0.60  % (16709)------------------------------
% 2.01/0.60  TRYING [5]
% 2.01/0.60  % (16705)Instruction limit reached!
% 2.01/0.60  % (16705)------------------------------
% 2.01/0.60  % (16705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60  % (16705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60  % (16705)Termination reason: Unknown
% 2.01/0.60  % (16705)Termination phase: Saturation
% 2.01/0.60  
% 2.01/0.60  % (16705)Memory used [KB]: 6780
% 2.01/0.60  % (16705)Time elapsed: 0.211 s
% 2.01/0.60  % (16705)Instructions burned: 49 (million)
% 2.01/0.60  % (16705)------------------------------
% 2.01/0.60  % (16705)------------------------------
% 2.01/0.61  % (16717)Instruction limit reached!
% 2.01/0.61  % (16717)------------------------------
% 2.01/0.61  % (16717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61  % (16717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (16717)Termination reason: Unknown
% 2.01/0.61  % (16717)Termination phase: Finite model building SAT solving
% 2.01/0.61  
% 2.01/0.61  % (16717)Memory used [KB]: 6140
% 2.01/0.61  % (16717)Time elapsed: 0.187 s
% 2.01/0.61  % (16717)Instructions burned: 59 (million)
% 2.01/0.61  % (16717)------------------------------
% 2.01/0.61  % (16717)------------------------------
% 2.01/0.61  % (16729)Refutation found. Thanks to Tanya!
% 2.01/0.61  % SZS status Theorem for theBenchmark
% 2.01/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.61  % (16729)------------------------------
% 2.18/0.61  % (16729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.61  % (16729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.61  % (16729)Termination reason: Refutation
% 2.18/0.61  
% 2.18/0.61  % (16729)Memory used [KB]: 7164
% 2.18/0.61  % (16729)Time elapsed: 0.190 s
% 2.18/0.61  % (16729)Instructions burned: 59 (million)
% 2.18/0.61  % (16729)------------------------------
% 2.18/0.61  % (16729)------------------------------
% 2.18/0.61  % (16699)Success in time 0.271 s
%------------------------------------------------------------------------------