TSTP Solution File: SYN443+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN443+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_uns --cores 0 -t %d %s

% Computer : n005.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 19:26:45 EDT 2022

% Result   : Theorem 1.29s 0.62s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  590 (   1 unt;   0 def)
%            Number of atoms       : 6078 (   0 equ)
%            Maximal formula atoms :  588 (  10 avg)
%            Number of connectives : 8104 (2616   ~;3731   |;1281   &)
%                                         ( 136 <=>; 340  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  100 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  173 ( 172 usr; 169 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  751 ( 751   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2717,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f253,f270,f292,f301,f310,f319,f340,f351,f367,f383,f388,f393,f398,f407,f412,f417,f423,f428,f436,f441,f457,f467,f482,f487,f520,f521,f527,f532,f551,f556,f567,f573,f578,f587,f592,f593,f604,f614,f623,f628,f633,f634,f635,f644,f649,f660,f665,f671,f672,f678,f688,f693,f709,f720,f725,f730,f738,f745,f752,f757,f769,f791,f796,f801,f806,f811,f822,f823,f834,f838,f839,f845,f850,f853,f858,f859,f860,f866,f867,f873,f878,f879,f881,f886,f889,f896,f901,f907,f908,f913,f922,f925,f926,f942,f943,f948,f949,f954,f959,f964,f969,f975,f986,f991,f1113,f1168,f1217,f1228,f1295,f1381,f1437,f1438,f1512,f1559,f1562,f1617,f1701,f1725,f1726,f1727,f1734,f1751,f1753,f1754,f1757,f1758,f1827,f1856,f1860,f1882,f1936,f1940,f1941,f1945,f1963,f1968,f1971,f1999,f2055,f2058,f2110,f2111,f2116,f2175,f2192,f2218,f2254,f2258,f2297,f2303,f2331,f2344,f2372,f2402,f2403,f2424,f2426,f2434,f2453,f2456,f2483,f2486,f2489,f2490,f2491,f2537,f2558,f2560,f2566,f2590,f2603,f2604,f2639,f2667,f2668,f2693,f2712,f2715]) ).

fof(f2715,plain,
    ( ~ spl0_139
    | spl0_47
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2708,f1410,f616,f420,f898]) ).

fof(f898,plain,
    ( spl0_139
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f420,plain,
    ( spl0_47
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f616,plain,
    ( spl0_88
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1410,plain,
    ( spl0_178
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2708,plain,
    ( c0_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(resolution,[],[f1412,f617]) ).

fof(f617,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c0_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1412,plain,
    ( c3_1(a1)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f2712,plain,
    ( ~ spl0_94
    | ~ spl0_139
    | ~ spl0_82
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2710,f1410,f585,f898,f646]) ).

fof(f646,plain,
    ( spl0_94
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f585,plain,
    ( spl0_82
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | ~ c2_1(X15)
        | ~ c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2710,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_82
    | ~ spl0_178 ),
    inference(resolution,[],[f1412,f586]) ).

fof(f586,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c1_1(X15)
        | ~ c2_1(X15) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f2693,plain,
    ( ~ spl0_174
    | spl0_51
    | ~ spl0_50
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2680,f855,f434,f438,f1268]) ).

fof(f1268,plain,
    ( spl0_174
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f438,plain,
    ( spl0_51
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f434,plain,
    ( spl0_50
  <=> ! [X5] :
        ( c2_1(X5)
        | ~ c1_1(X5)
        | ~ c3_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f855,plain,
    ( spl0_132
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2680,plain,
    ( c2_1(a2)
    | ~ c1_1(a2)
    | ~ spl0_50
    | ~ spl0_132 ),
    inference(resolution,[],[f435,f857]) ).

fof(f857,plain,
    ( c3_1(a2)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f435,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f2668,plain,
    ( spl0_89
    | spl0_151
    | ~ spl0_34
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2657,f798,f362,f966,f620]) ).

fof(f620,plain,
    ( spl0_89
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f966,plain,
    ( spl0_151
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f362,plain,
    ( spl0_34
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f798,plain,
    ( spl0_122
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2657,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ spl0_34
    | ~ spl0_122 ),
    inference(resolution,[],[f363,f800]) ).

fof(f800,plain,
    ( c1_1(a9)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f363,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f2667,plain,
    ( spl0_157
    | spl0_135
    | ~ spl0_34
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2663,f722,f362,f875,f1003]) ).

fof(f1003,plain,
    ( spl0_157
  <=> c0_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f875,plain,
    ( spl0_135
  <=> c2_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f722,plain,
    ( spl0_108
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2663,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ spl0_34
    | ~ spl0_108 ),
    inference(resolution,[],[f363,f724]) ).

fof(f724,plain,
    ( c1_1(a64)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f2639,plain,
    ( spl0_83
    | spl0_80
    | ~ spl0_29
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2622,f847,f342,f575,f589]) ).

fof(f589,plain,
    ( spl0_83
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f575,plain,
    ( spl0_80
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f342,plain,
    ( spl0_29
  <=> ! [X49] :
        ( c3_1(X49)
        | c2_1(X49)
        | c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f847,plain,
    ( spl0_131
  <=> c3_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2622,plain,
    ( c2_1(a36)
    | c1_1(a36)
    | ~ spl0_29
    | spl0_131 ),
    inference(resolution,[],[f343,f849]) ).

fof(f849,plain,
    ( ~ c3_1(a36)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f343,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f2604,plain,
    ( spl0_174
    | spl0_51
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2567,f870,f329,f438,f1268]) ).

fof(f329,plain,
    ( spl0_26
  <=> ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f870,plain,
    ( spl0_134
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2567,plain,
    ( c2_1(a2)
    | c1_1(a2)
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(resolution,[],[f330,f872]) ).

fof(f872,plain,
    ( c0_1(a2)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f330,plain,
    ( ! [X74] :
        ( ~ c0_1(X74)
        | c2_1(X74)
        | c1_1(X74) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f2603,plain,
    ( spl0_180
    | spl0_121
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2571,f808,f329,f793,f1477]) ).

fof(f1477,plain,
    ( spl0_180
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f793,plain,
    ( spl0_121
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f808,plain,
    ( spl0_124
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2571,plain,
    ( c2_1(a8)
    | c1_1(a8)
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(resolution,[],[f330,f810]) ).

fof(f810,plain,
    ( c0_1(a8)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f2590,plain,
    ( spl0_62
    | spl0_99
    | ~ spl0_26
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2576,f1198,f329,f675,f484]) ).

fof(f484,plain,
    ( spl0_62
  <=> c2_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f675,plain,
    ( spl0_99
  <=> c1_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1198,plain,
    ( spl0_169
  <=> c0_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2576,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | ~ spl0_26
    | ~ spl0_169 ),
    inference(resolution,[],[f330,f1199]) ).

fof(f1199,plain,
    ( c0_1(a34)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f2566,plain,
    ( spl0_62
    | ~ spl0_169
    | ~ spl0_12
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2551,f951,f268,f1198,f484]) ).

fof(f268,plain,
    ( spl0_12
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c0_1(X80)
        | ~ c3_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f951,plain,
    ( spl0_148
  <=> c3_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2551,plain,
    ( ~ c0_1(a34)
    | c2_1(a34)
    | ~ spl0_12
    | ~ spl0_148 ),
    inference(resolution,[],[f269,f953]) ).

fof(f953,plain,
    ( c3_1(a34)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f269,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | ~ c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f2560,plain,
    ( ~ spl0_134
    | spl0_51
    | ~ spl0_12
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2547,f855,f268,f438,f870]) ).

fof(f2547,plain,
    ( c2_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_12
    | ~ spl0_132 ),
    inference(resolution,[],[f269,f857]) ).

fof(f2558,plain,
    ( spl0_164
    | ~ spl0_18
    | ~ spl0_12
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2555,f883,f268,f294,f1063]) ).

fof(f1063,plain,
    ( spl0_164
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f294,plain,
    ( spl0_18
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f883,plain,
    ( spl0_136
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2555,plain,
    ( ~ c0_1(a15)
    | c2_1(a15)
    | ~ spl0_12
    | ~ spl0_136 ),
    inference(resolution,[],[f269,f885]) ).

fof(f885,plain,
    ( c3_1(a15)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f2537,plain,
    ( ~ spl0_94
    | spl0_178
    | ~ spl0_6
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2509,f898,f243,f1410,f646]) ).

fof(f243,plain,
    ( spl0_6
  <=> ! [X70] :
        ( ~ c1_1(X70)
        | c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2509,plain,
    ( c3_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_6
    | ~ spl0_139 ),
    inference(resolution,[],[f244,f900]) ).

fof(f900,plain,
    ( c2_1(a1)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f244,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c3_1(X70)
        | ~ c1_1(X70) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f2491,plain,
    ( spl0_83
    | spl0_167
    | ~ spl0_129
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2473,f847,f836,f1155,f589]) ).

fof(f1155,plain,
    ( spl0_167
  <=> c0_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f836,plain,
    ( spl0_129
  <=> ! [X39] :
        ( c1_1(X39)
        | c0_1(X39)
        | c3_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2473,plain,
    ( c0_1(a36)
    | c1_1(a36)
    | ~ spl0_129
    | spl0_131 ),
    inference(resolution,[],[f837,f849]) ).

fof(f837,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | c0_1(X39)
        | c1_1(X39) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f2490,plain,
    ( spl0_59
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2477,f836,f651,f472]) ).

fof(f472,plain,
    ( spl0_59
  <=> ! [X54] :
        ( c2_1(X54)
        | c0_1(X54)
        | c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f651,plain,
    ( spl0_95
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | c2_1(X36)
        | c1_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2477,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f2461]) ).

fof(f2461,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(resolution,[],[f837,f652]) ).

fof(f652,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | c2_1(X36)
        | c1_1(X36) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f2489,plain,
    ( spl0_85
    | spl0_91
    | spl0_114
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2469,f836,f754,f630,f601]) ).

fof(f601,plain,
    ( spl0_85
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f630,plain,
    ( spl0_91
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f754,plain,
    ( spl0_114
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2469,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | spl0_114
    | ~ spl0_129 ),
    inference(resolution,[],[f837,f756]) ).

fof(f756,plain,
    ( ~ c3_1(a18)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f2486,plain,
    ( spl0_59
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2478,f836,f539,f472]) ).

fof(f539,plain,
    ( spl0_73
  <=> ! [X77] :
        ( c2_1(X77)
        | c0_1(X77)
        | ~ c3_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2478,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f2463]) ).

fof(f2463,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(resolution,[],[f837,f540]) ).

fof(f540,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77)
        | c0_1(X77) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f2483,plain,
    ( spl0_166
    | spl0_107
    | spl0_78
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2474,f836,f564,f717,f1089]) ).

fof(f1089,plain,
    ( spl0_166
  <=> c0_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f717,plain,
    ( spl0_107
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f564,plain,
    ( spl0_78
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2474,plain,
    ( c1_1(a43)
    | c0_1(a43)
    | spl0_78
    | ~ spl0_129 ),
    inference(resolution,[],[f837,f566]) ).

fof(f566,plain,
    ( ~ c3_1(a43)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f2456,plain,
    ( spl0_99
    | spl0_62
    | ~ spl0_95
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2440,f951,f651,f484,f675]) ).

fof(f2440,plain,
    ( c2_1(a34)
    | c1_1(a34)
    | ~ spl0_95
    | ~ spl0_148 ),
    inference(resolution,[],[f652,f953]) ).

fof(f2453,plain,
    ( spl0_177
    | spl0_105
    | ~ spl0_95
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2436,f842,f651,f706,f1336]) ).

fof(f1336,plain,
    ( spl0_177
  <=> c2_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f706,plain,
    ( spl0_105
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f842,plain,
    ( spl0_130
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2436,plain,
    ( c1_1(a4)
    | c2_1(a4)
    | ~ spl0_95
    | ~ spl0_130 ),
    inference(resolution,[],[f652,f844]) ).

fof(f844,plain,
    ( c3_1(a4)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2434,plain,
    ( ~ spl0_177
    | spl0_101
    | ~ spl0_88
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2410,f842,f616,f685,f1336]) ).

fof(f685,plain,
    ( spl0_101
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2410,plain,
    ( c0_1(a4)
    | ~ c2_1(a4)
    | ~ spl0_88
    | ~ spl0_130 ),
    inference(resolution,[],[f617,f844]) ).

fof(f2426,plain,
    ( ~ spl0_155
    | spl0_171
    | ~ spl0_41
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2419,f616,f390,f1213,f988]) ).

fof(f988,plain,
    ( spl0_155
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1213,plain,
    ( spl0_171
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f390,plain,
    ( spl0_41
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2419,plain,
    ( c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_41
    | ~ spl0_88 ),
    inference(resolution,[],[f617,f392]) ).

fof(f392,plain,
    ( c3_1(a10)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f2424,plain,
    ( spl0_147
    | ~ spl0_140
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2416,f616,f611,f904,f945]) ).

fof(f945,plain,
    ( spl0_147
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f904,plain,
    ( spl0_140
  <=> c2_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f611,plain,
    ( spl0_87
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2416,plain,
    ( ~ c2_1(a42)
    | c0_1(a42)
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(resolution,[],[f617,f613]) ).

fof(f613,plain,
    ( c3_1(a42)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f2403,plain,
    ( spl0_101
    | spl0_177
    | ~ spl0_73
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2384,f842,f539,f1336,f685]) ).

fof(f2384,plain,
    ( c2_1(a4)
    | c0_1(a4)
    | ~ spl0_73
    | ~ spl0_130 ),
    inference(resolution,[],[f540,f844]) ).

fof(f2402,plain,
    ( spl0_169
    | spl0_62
    | ~ spl0_73
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2388,f951,f539,f484,f1198]) ).

fof(f2388,plain,
    ( c2_1(a34)
    | c0_1(a34)
    | ~ spl0_73
    | ~ spl0_148 ),
    inference(resolution,[],[f540,f953]) ).

fof(f2372,plain,
    ( spl0_45
    | spl0_176
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2359,f499,f307,f1319,f409]) ).

fof(f409,plain,
    ( spl0_45
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1319,plain,
    ( spl0_176
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f307,plain,
    ( spl0_21
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f499,plain,
    ( spl0_65
  <=> ! [X32] :
        ( c3_1(X32)
        | ~ c1_1(X32)
        | c2_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2359,plain,
    ( c2_1(a19)
    | c3_1(a19)
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(resolution,[],[f500,f309]) ).

fof(f309,plain,
    ( c1_1(a19)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f500,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f2344,plain,
    ( spl0_2
    | spl0_121
    | ~ spl0_60
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2316,f808,f476,f793,f225]) ).

fof(f225,plain,
    ( spl0_2
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f476,plain,
    ( spl0_60
  <=> ! [X48] :
        ( ~ c0_1(X48)
        | c2_1(X48)
        | c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2316,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_60
    | ~ spl0_124 ),
    inference(resolution,[],[f477,f810]) ).

fof(f477,plain,
    ( ! [X48] :
        ( ~ c0_1(X48)
        | c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2331,plain,
    ( spl0_176
    | spl0_45
    | ~ spl0_60
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2319,f803,f476,f409,f1319]) ).

fof(f803,plain,
    ( spl0_123
  <=> c0_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2319,plain,
    ( c3_1(a19)
    | c2_1(a19)
    | ~ spl0_60
    | ~ spl0_123 ),
    inference(resolution,[],[f477,f805]) ).

fof(f805,plain,
    ( c0_1(a19)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f2303,plain,
    ( spl0_147
    | spl0_173
    | ~ spl0_37
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2290,f611,f373,f1260,f945]) ).

fof(f1260,plain,
    ( spl0_173
  <=> c1_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f373,plain,
    ( spl0_37
  <=> ! [X45] :
        ( c1_1(X45)
        | c0_1(X45)
        | ~ c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2290,plain,
    ( c1_1(a42)
    | c0_1(a42)
    | ~ spl0_37
    | ~ spl0_87 ),
    inference(resolution,[],[f374,f613]) ).

fof(f374,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | c1_1(X45) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f2297,plain,
    ( spl0_169
    | spl0_99
    | ~ spl0_37
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2288,f951,f373,f675,f1198]) ).

fof(f2288,plain,
    ( c1_1(a34)
    | c0_1(a34)
    | ~ spl0_37
    | ~ spl0_148 ),
    inference(resolution,[],[f374,f953]) ).

fof(f2258,plain,
    ( spl0_172
    | spl0_48
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2257,f345,f285,f425,f1234]) ).

fof(f1234,plain,
    ( spl0_172
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f425,plain,
    ( spl0_48
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f285,plain,
    ( spl0_16
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f345,plain,
    ( spl0_30
  <=> ! [X50] :
        ( c1_1(X50)
        | c3_1(X50)
        | ~ c0_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2257,plain,
    ( c3_1(a6)
    | c1_1(a6)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(resolution,[],[f287,f346]) ).

fof(f346,plain,
    ( ! [X50] :
        ( ~ c0_1(X50)
        | c1_1(X50)
        | c3_1(X50) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f287,plain,
    ( c0_1(a6)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f2254,plain,
    ( spl0_135
    | ~ spl0_157
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2236,f385,f268,f1003,f875]) ).

fof(f385,plain,
    ( spl0_40
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2236,plain,
    ( ~ c0_1(a64)
    | c2_1(a64)
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(resolution,[],[f269,f387]) ).

fof(f387,plain,
    ( c3_1(a64)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f2218,plain,
    ( spl0_107
    | spl0_78
    | ~ spl0_57
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2208,f894,f464,f564,f717]) ).

fof(f464,plain,
    ( spl0_57
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f894,plain,
    ( spl0_138
  <=> ! [X76] :
        ( ~ c2_1(X76)
        | c3_1(X76)
        | c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2208,plain,
    ( c3_1(a43)
    | c1_1(a43)
    | ~ spl0_57
    | ~ spl0_138 ),
    inference(resolution,[],[f895,f466]) ).

fof(f466,plain,
    ( c2_1(a43)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f895,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | c1_1(X76)
        | c3_1(X76) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f2192,plain,
    ( spl0_149
    | spl0_163
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2180,f891,f333,f1052,f956]) ).

fof(f956,plain,
    ( spl0_149
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1052,plain,
    ( spl0_163
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f333,plain,
    ( spl0_27
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f891,plain,
    ( spl0_137
  <=> ! [X75] :
        ( c3_1(X75)
        | c0_1(X75)
        | ~ c1_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2180,plain,
    ( c0_1(a12)
    | c3_1(a12)
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(resolution,[],[f892,f335]) ).

fof(f335,plain,
    ( c1_1(a12)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f892,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c3_1(X75) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f2175,plain,
    ( spl0_83
    | spl0_131
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2171,f1155,f345,f847,f589]) ).

fof(f2171,plain,
    ( c3_1(a36)
    | c1_1(a36)
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(resolution,[],[f1157,f346]) ).

fof(f1157,plain,
    ( c0_1(a36)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f2116,plain,
    ( ~ spl0_76
    | ~ spl0_160
    | ~ spl0_82
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2106,f625,f585,f1020,f553]) ).

fof(f553,plain,
    ( spl0_76
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1020,plain,
    ( spl0_160
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f625,plain,
    ( spl0_90
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2106,plain,
    ( ~ c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_82
    | ~ spl0_90 ),
    inference(resolution,[],[f586,f627]) ).

fof(f627,plain,
    ( c3_1(a33)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2111,plain,
    ( ~ spl0_155
    | ~ spl0_97
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2104,f585,f390,f662,f988]) ).

fof(f662,plain,
    ( spl0_97
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2104,plain,
    ( ~ c1_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(resolution,[],[f586,f392]) ).

fof(f2110,plain,
    ( ~ spl0_164
    | ~ spl0_46
    | ~ spl0_82
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2105,f883,f585,f414,f1063]) ).

fof(f414,plain,
    ( spl0_46
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2105,plain,
    ( ~ c1_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_82
    | ~ spl0_136 ),
    inference(resolution,[],[f586,f885]) ).

fof(f2058,plain,
    ( spl0_29
    | ~ spl0_30
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2050,f472,f345,f342]) ).

fof(f2050,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f2036]) ).

fof(f2036,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_30
    | ~ spl0_59 ),
    inference(resolution,[],[f346,f473]) ).

fof(f473,plain,
    ( ! [X54] :
        ( c0_1(X54)
        | c1_1(X54)
        | c2_1(X54) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2055,plain,
    ( spl0_180
    | spl0_2
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2039,f808,f345,f225,f1477]) ).

fof(f2039,plain,
    ( c3_1(a8)
    | c1_1(a8)
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(resolution,[],[f346,f810]) ).

fof(f1999,plain,
    ( spl0_168
    | spl0_69
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1984,f919,f373,f517,f1175]) ).

fof(f1175,plain,
    ( spl0_168
  <=> c1_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f517,plain,
    ( spl0_69
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f919,plain,
    ( spl0_143
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1984,plain,
    ( c0_1(a32)
    | c1_1(a32)
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(resolution,[],[f374,f921]) ).

fof(f921,plain,
    ( c3_1(a32)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f1971,plain,
    ( spl0_48
    | ~ spl0_172
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1951,f450,f285,f1234,f425]) ).

fof(f450,plain,
    ( spl0_54
  <=> ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1951,plain,
    ( ~ c1_1(a6)
    | c3_1(a6)
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(resolution,[],[f451,f287]) ).

fof(f451,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f1968,plain,
    ( spl0_2
    | ~ spl0_180
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1952,f808,f450,f1477,f225]) ).

fof(f1952,plain,
    ( ~ c1_1(a8)
    | c3_1(a8)
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(resolution,[],[f451,f810]) ).

fof(f1963,plain,
    ( spl0_146
    | ~ spl0_120
    | ~ spl0_54
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1953,f1206,f450,f788,f939]) ).

fof(f939,plain,
    ( spl0_146
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f788,plain,
    ( spl0_120
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1206,plain,
    ( spl0_170
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1953,plain,
    ( ~ c1_1(a11)
    | c3_1(a11)
    | ~ spl0_54
    | ~ spl0_170 ),
    inference(resolution,[],[f451,f1208]) ).

fof(f1208,plain,
    ( c0_1(a11)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1945,plain,
    ( spl0_170
    | ~ spl0_120
    | ~ spl0_35
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1926,f641,f365,f788,f1206]) ).

fof(f365,plain,
    ( spl0_35
  <=> ! [X69] :
        ( c0_1(X69)
        | ~ c1_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f641,plain,
    ( spl0_93
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1926,plain,
    ( ~ c1_1(a11)
    | c0_1(a11)
    | ~ spl0_35
    | ~ spl0_93 ),
    inference(resolution,[],[f366,f643]) ).

fof(f643,plain,
    ( c2_1(a11)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f366,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | ~ c1_1(X69)
        | c0_1(X69) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1941,plain,
    ( spl0_47
    | ~ spl0_94
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1923,f898,f365,f646,f420]) ).

fof(f1923,plain,
    ( ~ c1_1(a1)
    | c0_1(a1)
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(resolution,[],[f366,f900]) ).

fof(f1940,plain,
    ( spl0_171
    | ~ spl0_97
    | ~ spl0_35
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1933,f988,f365,f662,f1213]) ).

fof(f1933,plain,
    ( ~ c1_1(a10)
    | c0_1(a10)
    | ~ spl0_35
    | ~ spl0_155 ),
    inference(resolution,[],[f366,f990]) ).

fof(f990,plain,
    ( c2_1(a10)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1936,plain,
    ( spl0_147
    | ~ spl0_173
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1930,f904,f365,f1260,f945]) ).

fof(f1930,plain,
    ( ~ c1_1(a42)
    | c0_1(a42)
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(resolution,[],[f366,f906]) ).

fof(f906,plain,
    ( c2_1(a42)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1882,plain,
    ( spl0_55
    | spl0_69
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1873,f1175,f362,f517,f454]) ).

fof(f454,plain,
    ( spl0_55
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1873,plain,
    ( c0_1(a32)
    | c2_1(a32)
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(resolution,[],[f363,f1177]) ).

fof(f1177,plain,
    ( c1_1(a32)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1860,plain,
    ( spl0_160
    | ~ spl0_76
    | ~ spl0_63
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1851,f625,f489,f553,f1020]) ).

fof(f489,plain,
    ( spl0_63
  <=> ! [X73] :
        ( ~ c3_1(X73)
        | c1_1(X73)
        | ~ c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1851,plain,
    ( ~ c2_1(a33)
    | c1_1(a33)
    | ~ spl0_63
    | ~ spl0_90 ),
    inference(resolution,[],[f490,f627]) ).

fof(f490,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | ~ c2_1(X73)
        | c1_1(X73) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f1856,plain,
    ( ~ spl0_70
    | spl0_150
    | ~ spl0_63
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1843,f735,f489,f961,f524]) ).

fof(f524,plain,
    ( spl0_70
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f961,plain,
    ( spl0_150
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f735,plain,
    ( spl0_110
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1843,plain,
    ( c1_1(a5)
    | ~ c2_1(a5)
    | ~ spl0_63
    | ~ spl0_110 ),
    inference(resolution,[],[f490,f737]) ).

fof(f737,plain,
    ( c3_1(a5)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1827,plain,
    ( spl0_23
    | spl0_79
    | ~ spl0_59
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1814,f548,f472,f570,f316]) ).

fof(f316,plain,
    ( spl0_23
  <=> c2_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f570,plain,
    ( spl0_79
  <=> c1_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f548,plain,
    ( spl0_75
  <=> c0_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1814,plain,
    ( c1_1(a26)
    | c2_1(a26)
    | ~ spl0_59
    | spl0_75 ),
    inference(resolution,[],[f473,f550]) ).

fof(f550,plain,
    ( ~ c0_1(a26)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1758,plain,
    ( ~ spl0_97
    | ~ spl0_171
    | ~ spl0_41
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1747,f740,f390,f1213,f662]) ).

fof(f740,plain,
    ( spl0_111
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | ~ c3_1(X28)
        | ~ c1_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1747,plain,
    ( ~ c0_1(a10)
    | ~ c1_1(a10)
    | ~ spl0_41
    | ~ spl0_111 ),
    inference(resolution,[],[f741,f392]) ).

fof(f741,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c0_1(X28)
        | ~ c1_1(X28) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1757,plain,
    ( ~ spl0_46
    | ~ spl0_18
    | ~ spl0_111
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1748,f883,f740,f294,f414]) ).

fof(f1748,plain,
    ( ~ c0_1(a15)
    | ~ c1_1(a15)
    | ~ spl0_111
    | ~ spl0_136 ),
    inference(resolution,[],[f741,f885]) ).

fof(f1754,plain,
    ( ~ spl0_160
    | ~ spl0_126
    | ~ spl0_90
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1749,f740,f625,f819,f1020]) ).

fof(f819,plain,
    ( spl0_126
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1749,plain,
    ( ~ c0_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_90
    | ~ spl0_111 ),
    inference(resolution,[],[f741,f627]) ).

fof(f1753,plain,
    ( ~ spl0_157
    | ~ spl0_108
    | ~ spl0_40
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1746,f740,f385,f722,f1003]) ).

fof(f1746,plain,
    ( ~ c1_1(a64)
    | ~ c0_1(a64)
    | ~ spl0_40
    | ~ spl0_111 ),
    inference(resolution,[],[f741,f387]) ).

fof(f1751,plain,
    ( ~ spl0_134
    | ~ spl0_174
    | ~ spl0_111
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1737,f855,f740,f1268,f870]) ).

fof(f1737,plain,
    ( ~ c1_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_111
    | ~ spl0_132 ),
    inference(resolution,[],[f741,f857]) ).

fof(f1734,plain,
    ( ~ spl0_109
    | ~ spl0_102
    | ~ spl0_71
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1722,f743,f529,f690,f727]) ).

fof(f727,plain,
    ( spl0_109
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f690,plain,
    ( spl0_102
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f529,plain,
    ( spl0_71
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f743,plain,
    ( spl0_112
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | ~ c2_1(X29)
        | ~ c1_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1722,plain,
    ( ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_71
    | ~ spl0_112 ),
    inference(resolution,[],[f744,f531]) ).

fof(f531,plain,
    ( c0_1(a25)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f744,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | ~ c2_1(X29)
        | ~ c1_1(X29) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f1727,plain,
    ( ~ spl0_46
    | ~ spl0_164
    | ~ spl0_18
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1721,f743,f294,f1063,f414]) ).

fof(f1721,plain,
    ( ~ c2_1(a15)
    | ~ c1_1(a15)
    | ~ spl0_18
    | ~ spl0_112 ),
    inference(resolution,[],[f744,f296]) ).

fof(f296,plain,
    ( c0_1(a15)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f1726,plain,
    ( ~ spl0_21
    | ~ spl0_176
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1716,f803,f743,f1319,f307]) ).

fof(f1716,plain,
    ( ~ c2_1(a19)
    | ~ c1_1(a19)
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(resolution,[],[f744,f805]) ).

fof(f1725,plain,
    ( ~ spl0_76
    | ~ spl0_160
    | ~ spl0_112
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1723,f819,f743,f1020,f553]) ).

fof(f1723,plain,
    ( ~ c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_112
    | ~ spl0_126 ),
    inference(resolution,[],[f744,f821]) ).

fof(f821,plain,
    ( c0_1(a33)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f1701,plain,
    ( spl0_168
    | spl0_55
    | ~ spl0_95
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1684,f919,f651,f454,f1175]) ).

fof(f1684,plain,
    ( c2_1(a32)
    | c1_1(a32)
    | ~ spl0_95
    | ~ spl0_143 ),
    inference(resolution,[],[f652,f921]) ).

fof(f1617,plain,
    ( spl0_55
    | spl0_69
    | ~ spl0_73
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1598,f919,f539,f517,f454]) ).

fof(f1598,plain,
    ( c0_1(a32)
    | c2_1(a32)
    | ~ spl0_73
    | ~ spl0_143 ),
    inference(resolution,[],[f540,f921]) ).

fof(f1562,plain,
    ( ~ spl0_168
    | spl0_55
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1548,f919,f434,f454,f1175]) ).

fof(f1548,plain,
    ( c2_1(a32)
    | ~ c1_1(a32)
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(resolution,[],[f435,f921]) ).

fof(f1559,plain,
    ( spl0_135
    | ~ spl0_108
    | ~ spl0_40
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1554,f434,f385,f722,f875]) ).

fof(f1554,plain,
    ( ~ c1_1(a64)
    | c2_1(a64)
    | ~ spl0_40
    | ~ spl0_50 ),
    inference(resolution,[],[f435,f387]) ).

fof(f1512,plain,
    ( spl0_62
    | spl0_99
    | ~ spl0_59
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1504,f1198,f472,f675,f484]) ).

fof(f1504,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | ~ spl0_59
    | spl0_169 ),
    inference(resolution,[],[f473,f1200]) ).

fof(f1200,plain,
    ( ~ c0_1(a34)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1438,plain,
    ( spl0_160
    | ~ spl0_76
    | ~ spl0_66
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1432,f819,f504,f553,f1020]) ).

fof(f504,plain,
    ( spl0_66
  <=> ! [X41] :
        ( c1_1(X41)
        | ~ c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1432,plain,
    ( ~ c2_1(a33)
    | c1_1(a33)
    | ~ spl0_66
    | ~ spl0_126 ),
    inference(resolution,[],[f505,f821]) ).

fof(f505,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | ~ c2_1(X41)
        | c1_1(X41) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f1437,plain,
    ( ~ spl0_42
    | spl0_128
    | ~ spl0_66
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1423,f983,f504,f831,f395]) ).

fof(f395,plain,
    ( spl0_42
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f831,plain,
    ( spl0_128
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f983,plain,
    ( spl0_154
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1423,plain,
    ( c1_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_66
    | ~ spl0_154 ),
    inference(resolution,[],[f505,f985]) ).

fof(f985,plain,
    ( c0_1(a3)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1381,plain,
    ( spl0_48
    | ~ spl0_133
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1372,f496,f285,f863,f425]) ).

fof(f863,plain,
    ( spl0_133
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f496,plain,
    ( spl0_64
  <=> ! [X31] :
        ( c3_1(X31)
        | ~ c0_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1372,plain,
    ( ~ c2_1(a6)
    | c3_1(a6)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f497,f287]) ).

fof(f497,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | ~ c2_1(X31)
        | c3_1(X31) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f1295,plain,
    ( spl0_107
    | spl0_78
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1278,f1089,f345,f564,f717]) ).

fof(f1278,plain,
    ( c3_1(a43)
    | c1_1(a43)
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(resolution,[],[f346,f1091]) ).

fof(f1091,plain,
    ( c0_1(a43)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1228,plain,
    ( spl0_107
    | spl0_166
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1224,f469,f464,f1089,f717]) ).

fof(f469,plain,
    ( spl0_58
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1224,plain,
    ( c0_1(a43)
    | c1_1(a43)
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(resolution,[],[f470,f466]) ).

fof(f470,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c1_1(X53)
        | c0_1(X53) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f1217,plain,
    ( ~ spl0_155
    | ~ spl0_171
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1210,f390,f377,f1213,f988]) ).

fof(f377,plain,
    ( spl0_38
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1210,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(resolution,[],[f392,f378]) ).

fof(f378,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | ~ c2_1(X34)
        | ~ c0_1(X34) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1168,plain,
    ( ~ spl0_18
    | ~ spl0_164
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1163,f883,f377,f1063,f294]) ).

fof(f1163,plain,
    ( ~ c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(resolution,[],[f378,f885]) ).

fof(f1113,plain,
    ( spl0_149
    | ~ spl0_27
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1108,f1052,f450,f333,f956]) ).

fof(f1108,plain,
    ( ~ c1_1(a12)
    | c3_1(a12)
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(resolution,[],[f451,f1054]) ).

fof(f1054,plain,
    ( c0_1(a12)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f991,plain,
    ( spl0_155
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f134,f246,f988]) ).

fof(f246,plain,
    ( spl0_7
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f134,plain,
    ( ~ hskp27
    | c2_1(a10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ! [X0] :
          ( c3_1(X0)
          | ~ ndr1_0
          | c2_1(X0)
          | ~ c0_1(X0) )
      | ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0
          | c1_1(X2) ) )
    & ( hskp17
      | hskp30
      | hskp27 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43) ) )
    & ( ( ndr1_0
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ~ c3_1(a18) )
      | ~ hskp10 )
    & ( hskp0
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3) )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0
          | c2_1(X4) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a52)
        & ndr1_0
        & c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | hskp14
      | hskp18 )
    & ( ( ndr1_0
        & ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36) )
      | ~ hskp19 )
    & ( ( c3_1(a4)
        & ~ c0_1(a4)
        & ndr1_0
        & ~ c1_1(a4) )
      | ~ hskp3 )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp16
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ c1_1(X7) ) )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ~ hskp4
      | ( c3_1(a5)
        & ndr1_0
        & c2_1(a5)
        & ~ c1_1(a5) ) )
    & ( ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ ndr1_0
          | ~ c1_1(X9)
          | c0_1(X9) )
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ ndr1_0
          | c2_1(X10)
          | ~ c3_1(X10) ) )
    & ( hskp22
      | hskp11 )
    & ( ! [X11] :
          ( c0_1(X11)
          | ~ c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | ~ ndr1_0
          | c3_1(X12)
          | ~ c0_1(X12) )
      | hskp9 )
    & ( ~ hskp24
      | ( ~ c1_1(a58)
        & c0_1(a58)
        & ndr1_0
        & c3_1(a58) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c3_1(X13)
          | c0_1(X13) )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14) )
      | hskp3 )
    & ( ( ~ c2_1(a9)
        & ndr1_0
        & c1_1(a9)
        & ~ c0_1(a9) )
      | ~ hskp7 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c3_1(X15) )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ ndr1_0
          | c1_1(X16)
          | ~ c2_1(X16) )
      | hskp19 )
    & ( hskp9
      | hskp16
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp18
      | ! [X18] :
          ( c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0
          | c1_1(X18) ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0
          | c0_1(X19) )
      | hskp8
      | hskp27 )
    & ( hskp6
      | ! [X20] :
          ( ~ ndr1_0
          | c2_1(X20)
          | ~ c1_1(X20)
          | c0_1(X20) )
      | ! [X21] :
          ( ~ c3_1(X21)
          | c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp11
      | hskp20 )
    & ( hskp1
      | ! [X22] :
          ( c2_1(X22)
          | ~ ndr1_0
          | c1_1(X22)
          | c0_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23) ) )
    & ( hskp9
      | hskp28
      | hskp7 )
    & ( ( c1_1(a27)
        & ~ c2_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c1_1(a10)
        & ndr1_0
        & c3_1(a10)
        & c2_1(a10) )
      | ~ hskp27 )
    & ( ~ hskp0
      | ( c1_1(a1)
        & c2_1(a1)
        & ~ c0_1(a1)
        & ndr1_0 ) )
    & ( hskp29
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c0_1(X24)
          | ~ c2_1(X24) )
      | hskp14 )
    & ( ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0
          | ~ c2_1(X25) )
      | hskp15
      | hskp4 )
    & ( ( ndr1_0
        & c0_1(a2)
        & c3_1(a2)
        & ~ c2_1(a2) )
      | ~ hskp1 )
    & ( ! [X26] :
          ( c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0
          | ~ c1_1(X26) )
      | hskp22
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27) ) )
    & ( hskp24
      | hskp23
      | hskp2 )
    & ( ! [X28] :
          ( ~ c1_1(X28)
          | ~ c3_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0
          | ~ c0_1(X29) )
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0
          | ~ c1_1(X30) ) )
    & ( ~ hskp9
      | ( c1_1(a12)
        & ndr1_0
        & ~ c2_1(a12)
        & ~ c3_1(a12) ) )
    & ( ~ hskp17
      | ( ~ c0_1(a32)
        & ~ c2_1(a32)
        & ndr1_0
        & c3_1(a32) ) )
    & ( hskp24
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0
          | ~ c2_1(X31) )
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ ndr1_0
          | c2_1(X32)
          | c3_1(X32) ) )
    & ( ( c2_1(a42)
        & c3_1(a42)
        & ~ c0_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ~ hskp16
      | ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 ) )
    & ( ~ hskp5
      | ( c0_1(a6)
        & c2_1(a6)
        & ~ c3_1(a6)
        & ndr1_0 ) )
    & ( ! [X33] :
          ( ~ c0_1(X33)
          | c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0
          | ~ c2_1(X34) ) )
    & ( ~ hskp13
      | ( ~ c0_1(a22)
        & ~ c3_1(a22)
        & ~ c2_1(a22)
        & ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0
          | ~ c3_1(X36) )
      | hskp5 )
    & ( hskp0
      | hskp21
      | ! [X37] :
          ( ~ c0_1(X37)
          | c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp7
      | hskp26
      | hskp18 )
    & ( hskp2
      | hskp30
      | hskp18 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) )
      | hskp3
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a21)
        & ~ c3_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41) )
      | hskp13
      | ! [X42] :
          ( c3_1(X42)
          | ~ ndr1_0
          | c2_1(X42)
          | ~ c0_1(X42) ) )
    & ( hskp7
      | hskp30
      | hskp27 )
    & ( ~ hskp2
      | ( c0_1(a3)
        & ~ c1_1(a3)
        & ndr1_0
        & c2_1(a3) ) )
    & ( hskp29
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43) )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0
          | c2_1(X44) ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ ndr1_0
          | c0_1(X45)
          | ~ c3_1(X45) )
      | hskp3
      | hskp9 )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c1_1(X46)
          | c2_1(X46) )
      | hskp0
      | ! [X47] :
          ( ~ ndr1_0
          | c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | hskp2
      | hskp4 )
    & ( hskp17
      | ! [X49] :
          ( ~ ndr1_0
          | c2_1(X49)
          | c1_1(X49)
          | c3_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50) ) )
    & ( hskp7
      | hskp6
      | ! [X51] :
          ( c0_1(X51)
          | ~ c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c3_1(X52)
          | ~ ndr1_0
          | ~ c0_1(X52)
          | c1_1(X52) )
      | ! [X53] :
          ( c0_1(X53)
          | c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ ndr1_0
          | c1_1(X54)
          | c0_1(X54) ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0
          | c1_1(X56) )
      | ! [X57] :
          ( ~ c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0
          | c3_1(X58) )
      | hskp19
      | hskp1 )
    & ( ( ndr1_0
        & ~ c2_1(a34)
        & c3_1(a34)
        & ~ c1_1(a34) )
      | ~ hskp18 )
    & ( ~ hskp11
      | ( c0_1(a19)
        & c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19) ) )
    & ( hskp11
      | hskp6
      | ! [X59] :
          ( c2_1(X59)
          | ~ c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | c2_1(X60)
          | ~ c0_1(X60) )
      | hskp2
      | ! [X61] :
          ( c0_1(X61)
          | ~ ndr1_0
          | c1_1(X61)
          | c2_1(X61) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c0_1(X62)
          | ~ c2_1(X62) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | c3_1(X63) )
      | ! [X64] :
          ( c1_1(X64)
          | ~ ndr1_0
          | ~ c0_1(X64)
          | ~ c2_1(X64) ) )
    & ( hskp4
      | ! [X65] :
          ( c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0
          | c1_1(X65) ) )
    & ( ! [X66] :
          ( c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0
          | c1_1(X66) )
      | hskp29
      | hskp20 )
    & ( ! [X67] :
          ( c3_1(X67)
          | ~ ndr1_0
          | ~ c0_1(X67)
          | c1_1(X67) )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ ndr1_0
          | c2_1(X68)
          | c0_1(X68) )
      | ! [X69] :
          ( ~ ndr1_0
          | c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69) ) )
    & ( hskp25
      | hskp27
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a25)
        & c0_1(a25)
        & c2_1(a25) ) )
    & ( hskp22
      | ! [X71] :
          ( c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0
          | c2_1(X71) )
      | ! [X72] :
          ( c1_1(X72)
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a64)
        & c1_1(a64)
        & ~ c2_1(a64) ) )
    & ( ~ hskp20
      | ( c3_1(a38)
        & ndr1_0
        & c1_1(a38)
        & ~ c0_1(a38) ) )
    & ( hskp23
      | ! [X73] :
          ( c1_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c3_1(X73) )
      | hskp2 )
    & ( ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0
          | ~ c0_1(X74) )
      | hskp13
      | hskp1 )
    & ( hskp0
      | ! [X75] :
          ( ~ c1_1(X75)
          | c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76) ) )
    & ( hskp12
      | hskp13
      | ! [X77] :
          ( c0_1(X77)
          | ~ ndr1_0
          | c2_1(X77)
          | ~ c3_1(X77) ) )
    & ( ( c0_1(a8)
        & ~ c3_1(a8)
        & ndr1_0
        & ~ c2_1(a8) )
      | ~ hskp6 )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a15)
        & c3_1(a15)
        & c0_1(a15) ) )
    & ( ( ndr1_0
        & c2_1(a11)
        & c1_1(a11)
        & ~ c3_1(a11) )
      | ~ hskp8 )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a33)
        & c0_1(a33)
        & c2_1(a33) ) )
    & ( ( ndr1_0
        & c2_1(a92)
        & ~ c0_1(a92)
        & ~ c3_1(a92) )
      | ~ hskp26 )
    & ( hskp5
      | hskp0
      | ! [X78] :
          ( c1_1(X78)
          | c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c2_1(a26)
        & ndr1_0
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( hskp1
      | ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c3_1(X79)
          | ~ c2_1(X79) )
      | hskp0 )
    & ( hskp22
      | hskp19
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0
          | c1_1(X81) )
      | ! [X82] :
          ( c0_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82) )
      | hskp5 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0
          | ~ c3_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | c0_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84) )
      | hskp10 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X11] :
          ( c3_1(X11)
          | ~ ndr1_0
          | c2_1(X11)
          | ~ c0_1(X11) )
      | ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | c1_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0
          | c1_1(X12) ) )
    & ( hskp17
      | hskp30
      | hskp27 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43) ) )
    & ( ( ndr1_0
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ~ c3_1(a18) )
      | ~ hskp10 )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58) )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | c2_1(X59) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a52)
        & ndr1_0
        & c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | c2_1(X69) )
      | hskp14
      | hskp18 )
    & ( ( ndr1_0
        & ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36) )
      | ~ hskp19 )
    & ( ( c3_1(a4)
        & ~ c0_1(a4)
        & ndr1_0
        & ~ c1_1(a4) )
      | ~ hskp3 )
    & ( ! [X24] :
          ( ~ c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp16
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23) ) )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ~ hskp4
      | ( c3_1(a5)
        & ndr1_0
        & c2_1(a5)
        & ~ c1_1(a5) ) )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ ndr1_0
          | ~ c1_1(X71)
          | c0_1(X71) )
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ ndr1_0
          | c2_1(X70)
          | ~ c3_1(X70) ) )
    & ( hskp22
      | hskp11 )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | ~ ndr1_0
          | c3_1(X3)
          | ~ c0_1(X3) )
      | hskp9 )
    & ( ~ hskp24
      | ( ~ c1_1(a58)
        & c0_1(a58)
        & ndr1_0
        & c3_1(a58) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | c3_1(X76)
          | c0_1(X76) )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ ndr1_0
          | c3_1(X77)
          | c1_1(X77) )
      | hskp3 )
    & ( ( ~ c2_1(a9)
        & ndr1_0
        & c1_1(a9)
        & ~ c0_1(a9) )
      | ~ hskp7 )
    & ( ! [X20] :
          ( ~ c2_1(X20)
          | ~ ndr1_0
          | ~ c1_1(X20)
          | ~ c3_1(X20) )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | ~ c2_1(X21) )
      | hskp19 )
    & ( hskp9
      | hskp16
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp18
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0
          | c1_1(X48) ) )
    & ( ! [X2] :
          ( ~ c3_1(X2)
          | c1_1(X2)
          | ~ ndr1_0
          | c0_1(X2) )
      | hskp8
      | hskp27 )
    & ( hskp6
      | ! [X17] :
          ( ~ ndr1_0
          | c2_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17) )
      | ! [X18] :
          ( ~ c3_1(X18)
          | c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp11
      | hskp20 )
    & ( hskp1
      | ! [X83] :
          ( c2_1(X83)
          | ~ ndr1_0
          | c1_1(X83)
          | c0_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | c1_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84) ) )
    & ( hskp9
      | hskp28
      | hskp7 )
    & ( ( c1_1(a27)
        & ~ c2_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c1_1(a10)
        & ndr1_0
        & c3_1(a10)
        & c2_1(a10) )
      | ~ hskp27 )
    & ( ~ hskp0
      | ( c1_1(a1)
        & c2_1(a1)
        & ~ c0_1(a1)
        & ndr1_0 ) )
    & ( hskp29
      | ! [X0] :
          ( ~ ndr1_0
          | c3_1(X0)
          | c0_1(X0)
          | ~ c2_1(X0) )
      | hskp14 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73) )
      | hskp15
      | hskp4 )
    & ( ( ndr1_0
        & c0_1(a2)
        & c3_1(a2)
        & ~ c2_1(a2) )
      | ~ hskp1 )
    & ( ! [X28] :
          ( c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28) )
      | hskp22
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27) ) )
    & ( hskp24
      | hskp23
      | hskp2 )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0
          | ~ c0_1(X32) )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0
          | ~ c1_1(X34) ) )
    & ( ~ hskp9
      | ( c1_1(a12)
        & ndr1_0
        & ~ c2_1(a12)
        & ~ c3_1(a12) ) )
    & ( ~ hskp17
      | ( ~ c0_1(a32)
        & ~ c2_1(a32)
        & ndr1_0
        & c3_1(a32) ) )
    & ( hskp24
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6) )
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ ndr1_0
          | c2_1(X7)
          | c3_1(X7) ) )
    & ( ( c2_1(a42)
        & c3_1(a42)
        & ~ c0_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ~ hskp16
      | ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 ) )
    & ( ~ hskp5
      | ( c0_1(a6)
        & c2_1(a6)
        & ~ c3_1(a6)
        & ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c0_1(X46)
          | c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0
          | ~ c2_1(X47) ) )
    & ( ~ hskp13
      | ( ~ c0_1(a22)
        & ~ c3_1(a22)
        & ~ c2_1(a22)
        & ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0
          | ~ c3_1(X15) )
      | hskp5 )
    & ( hskp0
      | hskp21
      | ! [X62] :
          ( ~ c0_1(X62)
          | c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp7
      | hskp26
      | hskp18 )
    & ( hskp2
      | hskp30
      | hskp18 )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | c3_1(X79)
          | c0_1(X79) )
      | hskp3
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a21)
        & ~ c3_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0
          | ~ c0_1(X82) )
      | hskp13
      | ! [X81] :
          ( c3_1(X81)
          | ~ ndr1_0
          | c2_1(X81)
          | ~ c0_1(X81) ) )
    & ( hskp7
      | hskp30
      | hskp27 )
    & ( ~ hskp2
      | ( c0_1(a3)
        & ~ c1_1(a3)
        & ndr1_0
        & c2_1(a3) ) )
    & ( hskp29
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0
          | ~ c3_1(X52) )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0
          | c2_1(X53) ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | ~ ndr1_0
          | c0_1(X60)
          | ~ c3_1(X60) )
      | hskp3
      | hskp9 )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c1_1(X43)
          | c2_1(X43) )
      | hskp0
      | ! [X42] :
          ( ~ ndr1_0
          | c2_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( ! [X1] :
          ( ~ c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp2
      | hskp4 )
    & ( hskp17
      | ! [X26] :
          ( ~ ndr1_0
          | c2_1(X26)
          | c1_1(X26)
          | c3_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c1_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25) ) )
    & ( hskp7
      | hskp6
      | ! [X41] :
          ( c0_1(X41)
          | ~ c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c3_1(X51)
          | ~ ndr1_0
          | ~ c0_1(X51)
          | c1_1(X51) )
      | ! [X49] :
          ( c0_1(X49)
          | c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ ndr1_0
          | c1_1(X50)
          | c0_1(X50) ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | c1_1(X64) )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0
          | c3_1(X75) )
      | hskp19
      | hskp1 )
    & ( ( ndr1_0
        & ~ c2_1(a34)
        & c3_1(a34)
        & ~ c1_1(a34) )
      | ~ hskp18 )
    & ( ~ hskp11
      | ( c0_1(a19)
        & c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19) ) )
    & ( hskp11
      | hskp6
      | ! [X19] :
          ( c2_1(X19)
          | ~ c3_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | c2_1(X45)
          | ~ c0_1(X45) )
      | hskp2
      | ! [X44] :
          ( c0_1(X44)
          | ~ ndr1_0
          | c1_1(X44)
          | c2_1(X44) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c0_1(X36)
          | ~ c2_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | c3_1(X37) )
      | ! [X35] :
          ( c1_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c2_1(X35) ) )
    & ( hskp4
      | ! [X56] :
          ( c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0
          | c1_1(X56) ) )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0
          | c1_1(X78) )
      | hskp29
      | hskp20 )
    & ( ! [X30] :
          ( c3_1(X30)
          | ~ ndr1_0
          | ~ c0_1(X30)
          | c1_1(X30) )
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ ndr1_0
          | c2_1(X31)
          | c0_1(X31) )
      | ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29) ) )
    & ( hskp25
      | hskp27
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a25)
        & c0_1(a25)
        & c2_1(a25) ) )
    & ( hskp22
      | ! [X55] :
          ( c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0
          | c2_1(X55) )
      | ! [X54] :
          ( c1_1(X54)
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a64)
        & c1_1(a64)
        & ~ c2_1(a64) ) )
    & ( ~ hskp20
      | ( c3_1(a38)
        & ndr1_0
        & c1_1(a38)
        & ~ c0_1(a38) ) )
    & ( hskp23
      | ! [X5] :
          ( c1_1(X5)
          | ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c3_1(X5) )
      | hskp2 )
    & ( ! [X38] :
          ( c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0
          | ~ c0_1(X38) )
      | hskp13
      | hskp1 )
    & ( hskp0
      | ! [X10] :
          ( ~ c1_1(X10)
          | c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ ndr1_0
          | c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9) ) )
    & ( hskp12
      | hskp13
      | ! [X22] :
          ( c0_1(X22)
          | ~ ndr1_0
          | c2_1(X22)
          | ~ c3_1(X22) ) )
    & ( ( c0_1(a8)
        & ~ c3_1(a8)
        & ndr1_0
        & ~ c2_1(a8) )
      | ~ hskp6 )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a15)
        & c3_1(a15)
        & c0_1(a15) ) )
    & ( ( ndr1_0
        & c2_1(a11)
        & c1_1(a11)
        & ~ c3_1(a11) )
      | ~ hskp8 )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a33)
        & c0_1(a33)
        & c2_1(a33) ) )
    & ( ( ndr1_0
        & c2_1(a92)
        & ~ c0_1(a92)
        & ~ c3_1(a92) )
      | ~ hskp26 )
    & ( hskp5
      | hskp0
      | ! [X61] :
          ( c1_1(X61)
          | c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c2_1(a26)
        & ndr1_0
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( hskp1
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | ~ c3_1(X63)
          | ~ c2_1(X63) )
      | hskp0 )
    & ( hskp22
      | hskp19
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0
          | c1_1(X67) )
      | ! [X68] :
          ( c0_1(X68)
          | ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68) )
      | hskp5 )
    & ( ! [X40] :
          ( ~ c0_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0
          | ~ c3_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39) )
      | hskp10 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp16
      | ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( c1_1(X2)
          | c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 )
      | hskp8
      | hskp27 )
    & ( hskp24
      | ! [X7] :
          ( c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp22
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X1] :
          ( c3_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ~ hskp2
      | ( c0_1(a3)
        & ~ c1_1(a3)
        & ndr1_0
        & c2_1(a3) ) )
    & ( hskp7
      | hskp11
      | hskp20 )
    & ( hskp24
      | hskp23
      | hskp2 )
    & ( hskp2
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ~ c1_1(a58)
        & c0_1(a58)
        & ndr1_0
        & c3_1(a58) ) )
    & ( hskp2
      | hskp30
      | hskp18 )
    & ( hskp29
      | ! [X53] :
          ( c2_1(X53)
          | c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c1_1(X13)
          | c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c2_1(a92)
        & ~ c0_1(a92)
        & ~ c3_1(a92) )
      | ~ hskp26 )
    & ( hskp5
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a34)
        & c3_1(a34)
        & ~ c1_1(a34) )
      | ~ hskp18 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c1_1(a10)
        & ndr1_0
        & c3_1(a10)
        & c2_1(a10) )
      | ~ hskp27 )
    & ( hskp7
      | ! [X41] :
          ( c1_1(X41)
          | c0_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp17
      | hskp30
      | hskp27 )
    & ( ( c1_1(a27)
        & ~ c2_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ! [X4] :
          ( ~ c3_1(X4)
          | c2_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a4)
        & ~ c0_1(a4)
        & ndr1_0
        & ~ c1_1(a4) )
      | ~ hskp3 )
    & ( hskp27
      | hskp25
      | ! [X57] :
          ( ~ c1_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a25)
        & c0_1(a25)
        & c2_1(a25) ) )
    & ( hskp0
      | hskp1
      | ! [X63] :
          ( ~ c2_1(X63)
          | c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp11 )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp5
      | hskp0 )
    & ( ( ndr1_0
        & c0_1(a2)
        & c3_1(a2)
        & ~ c2_1(a2) )
      | ~ hskp1 )
    & ( ! [X8] :
          ( ~ c2_1(X8)
          | ~ c3_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 )
      | hskp16
      | hskp9 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ~ hskp20
      | ( c3_1(a38)
        & ndr1_0
        & c1_1(a38)
        & ~ c0_1(a38) ) )
    & ( ~ hskp17
      | ( ~ c0_1(a32)
        & ~ c2_1(a32)
        & ndr1_0
        & c3_1(a32) ) )
    & ( hskp30
      | hskp18
      | ! [X48] :
          ( c3_1(X48)
          | c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | hskp1
      | hskp19 )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c1_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c1_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c1_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp3
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X62] :
          ( ~ c0_1(X62)
          | c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp23
      | ( ~ c1_1(a52)
        & ndr1_0
        & c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a33)
        & c0_1(a33)
        & c2_1(a33) ) )
    & ( ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | hskp7 )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ~ hskp0
      | ( c1_1(a1)
        & c2_1(a1)
        & ~ c0_1(a1)
        & ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp29
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X59] :
          ( ~ c3_1(X59)
          | c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a8)
        & ~ c3_1(a8)
        & ndr1_0
        & ~ c2_1(a8) )
      | ~ hskp6 )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp6
      | ! [X19] :
          ( c0_1(X19)
          | ~ c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( c2_1(a42)
        & c3_1(a42)
        & ~ c0_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ~ hskp11
      | ( c0_1(a19)
        & c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19) ) )
    & ( ! [X28] :
          ( ~ c1_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | hskp22 )
    & ( hskp16
      | ! [X24] :
          ( ~ c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( c0_1(a6)
        & c2_1(a6)
        & ~ c3_1(a6)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a64)
        & c1_1(a64)
        & ~ c2_1(a64) ) )
    & ( ~ hskp13
      | ( ~ c0_1(a22)
        & ~ c3_1(a22)
        & ~ c2_1(a22)
        & ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a5)
        & ndr1_0
        & c2_1(a5)
        & ~ c1_1(a5) ) )
    & ( hskp29
      | hskp20
      | ! [X78] :
          ( ~ c0_1(X78)
          | c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( c1_1(a12)
        & ndr1_0
        & ~ c2_1(a12)
        & ~ c3_1(a12) ) )
    & ( hskp15
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( ndr1_0
        & c2_1(a11)
        & c1_1(a11)
        & ~ c3_1(a11) )
      | ~ hskp8 )
    & ( hskp14
      | hskp18
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43) ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( ndr1_0
        & ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36) )
      | ~ hskp19 )
    & ( ~ hskp14
      | ( ~ c2_1(a26)
        & ndr1_0
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( ( ndr1_0
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ~ c3_1(a18) )
      | ~ hskp10 )
    & ( hskp7
      | hskp30
      | hskp27 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | hskp10
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X60] :
          ( c1_1(X60)
          | c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp2
      | ! [X5] :
          ( ~ c3_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( ~ c2_1(a9)
        & ndr1_0
        & c1_1(a9)
        & ~ c0_1(a9) )
      | ~ hskp7 )
    & ( hskp7
      | hskp26
      | hskp18 )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp19
      | hskp22 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a15)
        & c3_1(a15)
        & c0_1(a15) ) )
    & ( ( ndr1_0
        & c0_1(a21)
        & ~ c3_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ! [X83] :
          ( c2_1(X83)
          | c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X16] :
          ( c2_1(X16)
          | c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp28
      | hskp27 )
    & ( hskp13
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp5
      | ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp29
      | ! [X0] :
          ( ~ c2_1(X0)
          | c0_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | ~ c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | hskp6 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp16
      | ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | c0_1(X2)
            | ~ c3_1(X2) ) )
      | hskp8
      | hskp27 )
    & ( hskp24
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c1_1(X54)
            | ~ c2_1(X54) ) )
      | hskp22
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp2
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c2_1(X1)
            | ~ c0_1(X1) ) )
      | hskp4 )
    & ( ~ hskp2
      | ( c0_1(a3)
        & ~ c1_1(a3)
        & ndr1_0
        & c2_1(a3) ) )
    & ( hskp7
      | hskp11
      | hskp20 )
    & ( hskp24
      | hskp23
      | hskp2 )
    & ( hskp2
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | ~ c0_1(X45)
            | c2_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( ~ hskp24
      | ( ~ c1_1(a58)
        & c0_1(a58)
        & ndr1_0
        & c3_1(a58) ) )
    & ( hskp2
      | hskp30
      | hskp18 )
    & ( hskp29
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c1_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | ~ c1_1(X52) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c1_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) ) )
    & ( hskp19
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c3_1(X20)
            | ~ c2_1(X20) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ( ndr1_0
        & c2_1(a92)
        & ~ c0_1(a92)
        & ~ c3_1(a92) )
      | ~ hskp26 )
    & ( hskp5
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c2_1(X15)
            | ~ c3_1(X15) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a34)
        & c3_1(a34)
        & ~ c1_1(a34) )
      | ~ hskp18 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) )
      | hskp4 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c0_1(X42)
            | c2_1(X42) ) )
      | hskp0 )
    & ( ( c1_1(a10)
        & ndr1_0
        & c3_1(a10)
        & c2_1(a10) )
      | ~ hskp27 )
    & ( hskp7
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c0_1(X41)
            | ~ c3_1(X41) ) )
      | hskp6 )
    & ( hskp17
      | hskp30
      | hskp27 )
    & ( ( c1_1(a27)
        & ~ c2_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c2_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c1_1(X3)
            | c3_1(X3) ) )
      | hskp9 )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c1_1(X64)
            | ~ c0_1(X64) ) ) )
    & ( ( c3_1(a4)
        & ~ c0_1(a4)
        & ndr1_0
        & ~ c1_1(a4) )
      | ~ hskp3 )
    & ( hskp27
      | hskp25
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a25)
        & c0_1(a25)
        & c2_1(a25) ) )
    & ( hskp0
      | hskp1
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c1_1(X63)
            | ~ c3_1(X63) ) ) )
    & ( hskp22
      | hskp11 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c1_1(X61)
            | c0_1(X61) ) )
      | hskp5
      | hskp0 )
    & ( ( ndr1_0
        & c0_1(a2)
        & c3_1(a2)
        & ~ c2_1(a2) )
      | ~ hskp1 )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c3_1(X8)
            | c0_1(X8) ) )
      | hskp16
      | hskp9 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp12
      | hskp13 )
    & ( ~ hskp20
      | ( c3_1(a38)
        & ndr1_0
        & c1_1(a38)
        & ~ c0_1(a38) ) )
    & ( ~ hskp17
      | ( ~ c0_1(a32)
        & ~ c2_1(a32)
        & ndr1_0
        & c3_1(a32) ) )
    & ( hskp30
      | hskp18
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c1_1(X48)
            | c2_1(X48) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | hskp1
      | hskp19 )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c1_1(X29)
            | c0_1(X29) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | ~ c1_1(X31)
            | c2_1(X31) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | ~ c2_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c0_1(X36)
            | ~ c2_1(X36) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c1_1(X77)
            | c3_1(X77) ) )
      | hskp3
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp21
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c1_1(X62)
            | c2_1(X62) ) )
      | hskp0 )
    & ( ~ hskp23
      | ( ~ c1_1(a52)
        & ndr1_0
        & c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a33)
        & c0_1(a33)
        & c2_1(a33) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c1_1(X50)
            | c0_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c0_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp9
      | hskp28
      | hskp7 )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ~ hskp0
      | ( c1_1(a1)
        & c2_1(a1)
        & ~ c0_1(a1)
        & ndr1_0 ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c3_1(X47)
            | ~ c2_1(X47) ) )
      | hskp29
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | ~ c0_1(X46) ) ) )
    & ( hskp0
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c1_1(X59)
            | c2_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | ~ c1_1(X58) ) ) )
    & ( ( c0_1(a8)
        & ~ c3_1(a8)
        & ndr1_0
        & ~ c2_1(a8) )
      | ~ hskp6 )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | hskp0 )
    & ( hskp6
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c3_1(X19)
            | c2_1(X19) ) )
      | hskp11 )
    & ( ( c2_1(a42)
        & c3_1(a42)
        & ~ c0_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ~ hskp11
      | ( c0_1(a19)
        & c1_1(a19)
        & ndr1_0
        & ~ c3_1(a19) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c3_1(X28)
            | c2_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c0_1(X27)
            | c2_1(X27) ) )
      | hskp22 )
    & ( hskp16
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | ~ c0_1(X23)
            | ~ c1_1(X23) ) ) )
    & ( ~ hskp5
      | ( c0_1(a6)
        & c2_1(a6)
        & ~ c3_1(a6)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | ~ c2_1(X82)
            | c1_1(X82) ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a64)
        & c1_1(a64)
        & ~ c2_1(a64) ) )
    & ( ~ hskp13
      | ( ~ c0_1(a22)
        & ~ c3_1(a22)
        & ~ c2_1(a22)
        & ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a5)
        & ndr1_0
        & c2_1(a5)
        & ~ c1_1(a5) ) )
    & ( hskp29
      | hskp20
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c1_1(X78)
            | c2_1(X78) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | ~ c0_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c0_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ~ hskp9
      | ( c1_1(a12)
        & ndr1_0
        & ~ c2_1(a12)
        & ~ c3_1(a12) ) )
    & ( hskp15
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c2_1(X73)
            | c0_1(X73) ) )
      | hskp4 )
    & ( ( ndr1_0
        & c2_1(a11)
        & c1_1(a11)
        & ~ c3_1(a11) )
      | ~ hskp8 )
    & ( hskp14
      | hskp18
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) )
      | hskp3 )
    & ( ( ndr1_0
        & ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36) )
      | ~ hskp19 )
    & ( ~ hskp14
      | ( ~ c2_1(a26)
        & ndr1_0
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( ( ndr1_0
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ~ c3_1(a18) )
      | ~ hskp10 )
    & ( hskp7
      | hskp30
      | hskp27 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c3_1(X39)
            | c2_1(X39) ) )
      | hskp10
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( hskp9
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c0_1(X60)
            | ~ c3_1(X60) ) )
      | hskp3 )
    & ( hskp2
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c1_1(X5)
            | ~ c2_1(X5) ) )
      | hskp23 )
    & ( ( ~ c2_1(a9)
        & ndr1_0
        & c1_1(a9)
        & ~ c0_1(a9) )
      | ~ hskp7 )
    & ( hskp7
      | hskp26
      | hskp18 )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | hskp19
      | hskp22 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a15)
        & c3_1(a15)
        & c0_1(a15) ) )
    & ( ( ndr1_0
        & c0_1(a21)
        & ~ c3_1(a21)
        & ~ c1_1(a21) )
      | ~ hskp12 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c0_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c2_1(X84)
            | ~ c0_1(X84) ) )
      | hskp1 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c0_1(X16)
            | ~ c1_1(X16) ) )
      | hskp28
      | hskp27 )
    & ( hskp13
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | hskp1 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c2_1(X67) ) )
      | hskp5
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) ) )
    & ( hskp14
      | hskp29
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | c0_1(X0)
            | c3_1(X0) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | ~ c3_1(X18)
            | c2_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | ~ c1_1(X17)
            | c0_1(X17) ) )
      | hskp6 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp16
          | ( ~ c1_1(a31)
            & ~ c0_1(a31)
            & c2_1(a31)
            & ndr1_0 ) )
        & ( hskp17
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c0_1(X2)
                | ~ c3_1(X2) ) )
          | hskp8
          | hskp27 )
        & ( hskp24
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c1_1(X54)
                | ~ c2_1(X54) ) )
          | hskp22
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp2
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | ~ c0_1(X1) ) )
          | hskp4 )
        & ( ~ hskp2
          | ( c0_1(a3)
            & ~ c1_1(a3)
            & ndr1_0
            & c2_1(a3) ) )
        & ( hskp7
          | hskp11
          | hskp20 )
        & ( hskp24
          | hskp23
          | hskp2 )
        & ( hskp2
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( ~ hskp24
          | ( ~ c1_1(a58)
            & c0_1(a58)
            & ndr1_0
            & c3_1(a58) ) )
        & ( hskp2
          | hskp30
          | hskp18 )
        & ( hskp29
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c1_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) ) )
        & ( hskp19
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c3_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ( ndr1_0
            & c2_1(a92)
            & ~ c0_1(a92)
            & ~ c3_1(a92) )
          | ~ hskp26 )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a34)
            & c3_1(a34)
            & ~ c1_1(a34) )
          | ~ hskp18 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) )
          | hskp4 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c0_1(X42)
                | c2_1(X42) ) )
          | hskp0 )
        & ( ( c1_1(a10)
            & ndr1_0
            & c3_1(a10)
            & c2_1(a10) )
          | ~ hskp27 )
        & ( hskp7
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c0_1(X41)
                | ~ c3_1(X41) ) )
          | hskp6 )
        & ( hskp17
          | hskp30
          | hskp27 )
        & ( ( c1_1(a27)
            & ~ c2_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c1_1(X64)
                | ~ c0_1(X64) ) ) )
        & ( ( c3_1(a4)
            & ~ c0_1(a4)
            & ndr1_0
            & ~ c1_1(a4) )
          | ~ hskp3 )
        & ( hskp27
          | hskp25
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a25)
            & c0_1(a25)
            & c2_1(a25) ) )
        & ( hskp0
          | hskp1
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c1_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( hskp22
          | hskp11 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c1_1(X61)
                | c0_1(X61) ) )
          | hskp5
          | hskp0 )
        & ( ( ndr1_0
            & c0_1(a2)
            & c3_1(a2)
            & ~ c2_1(a2) )
          | ~ hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c3_1(X8)
                | c0_1(X8) ) )
          | hskp16
          | hskp9 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp12
          | hskp13 )
        & ( ~ hskp20
          | ( c3_1(a38)
            & ndr1_0
            & c1_1(a38)
            & ~ c0_1(a38) ) )
        & ( ~ hskp17
          | ( ~ c0_1(a32)
            & ~ c2_1(a32)
            & ndr1_0
            & c3_1(a32) ) )
        & ( hskp30
          | hskp18
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c1_1(X48)
                | c2_1(X48) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | hskp1
          | hskp19 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c0_1(X29) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | ~ c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c0_1(X36)
                | ~ c2_1(X36) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c1_1(X77)
                | c3_1(X77) ) )
          | hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp21
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c1_1(X62)
                | c2_1(X62) ) )
          | hskp0 )
        & ( ~ hskp23
          | ( ~ c1_1(a52)
            & ndr1_0
            & c0_1(a52)
            & ~ c2_1(a52) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c3_1(a33)
            & c0_1(a33)
            & c2_1(a33) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c1_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c0_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp9
          | hskp28
          | hskp7 )
        & ( hskp9
          | hskp1
          | hskp28 )
        & ( ~ hskp0
          | ( c1_1(a1)
            & c2_1(a1)
            & ~ c0_1(a1)
            & ndr1_0 ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c3_1(X47)
                | ~ c2_1(X47) ) )
          | hskp29
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( hskp0
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c1_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | ~ c1_1(X58) ) ) )
        & ( ( c0_1(a8)
            & ~ c3_1(a8)
            & ndr1_0
            & ~ c2_1(a8) )
          | ~ hskp6 )
        & ( hskp15
          | hskp25
          | hskp2 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | hskp0 )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c3_1(X19)
                | c2_1(X19) ) )
          | hskp11 )
        & ( ( c2_1(a42)
            & c3_1(a42)
            & ~ c0_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ~ hskp11
          | ( c0_1(a19)
            & c1_1(a19)
            & ndr1_0
            & ~ c3_1(a19) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | hskp22 )
        & ( hskp16
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c0_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( ~ hskp5
          | ( c0_1(a6)
            & c2_1(a6)
            & ~ c3_1(a6)
            & ndr1_0 ) )
        & ( hskp13
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a64)
            & c1_1(a64)
            & ~ c2_1(a64) ) )
        & ( ~ hskp13
          | ( ~ c0_1(a22)
            & ~ c3_1(a22)
            & ~ c2_1(a22)
            & ndr1_0 ) )
        & ( ~ hskp4
          | ( c3_1(a5)
            & ndr1_0
            & c2_1(a5)
            & ~ c1_1(a5) ) )
        & ( hskp29
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | c2_1(X78) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c0_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ~ hskp9
          | ( c1_1(a12)
            & ndr1_0
            & ~ c2_1(a12)
            & ~ c3_1(a12) ) )
        & ( hskp15
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) )
          | hskp4 )
        & ( ( ndr1_0
            & c2_1(a11)
            & c1_1(a11)
            & ~ c3_1(a11) )
          | ~ hskp8 )
        & ( hskp14
          | hskp18
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c3_1(a43)
            & ~ c1_1(a43)
            & c2_1(a43) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) )
          | hskp3 )
        & ( ( ndr1_0
            & ~ c3_1(a36)
            & ~ c2_1(a36)
            & ~ c1_1(a36) )
          | ~ hskp19 )
        & ( ~ hskp14
          | ( ~ c2_1(a26)
            & ndr1_0
            & ~ c0_1(a26)
            & ~ c1_1(a26) ) )
        & ( ( ndr1_0
            & ~ c1_1(a18)
            & ~ c0_1(a18)
            & ~ c3_1(a18) )
          | ~ hskp10 )
        & ( hskp7
          | hskp30
          | hskp27 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c3_1(X39)
                | c2_1(X39) ) )
          | hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( hskp9
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c0_1(X60)
                | ~ c3_1(X60) ) )
          | hskp3 )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c1_1(X5)
                | ~ c2_1(X5) ) )
          | hskp23 )
        & ( ( ~ c2_1(a9)
            & ndr1_0
            & c1_1(a9)
            & ~ c0_1(a9) )
          | ~ hskp7 )
        & ( hskp7
          | hskp26
          | hskp18 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | hskp19
          | hskp22 )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a15)
            & c3_1(a15)
            & c0_1(a15) ) )
        & ( ( ndr1_0
            & c0_1(a21)
            & ~ c3_1(a21)
            & ~ c1_1(a21) )
          | ~ hskp12 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c0_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c0_1(X16)
                | ~ c1_1(X16) ) )
          | hskp28
          | hskp27 )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | hskp1 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c2_1(X67) ) )
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( hskp14
          | hskp29
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c0_1(X0)
                | c3_1(X0) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c3_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | hskp6 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp26
          | hskp18 )
        & ( hskp14
          | hskp29
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( ( ~ c2_1(a9)
            & ndr1_0
            & c1_1(a9)
            & ~ c0_1(a9) )
          | ~ hskp7 )
        & ( ~ hskp24
          | ( ~ c1_1(a58)
            & c0_1(a58)
            & ndr1_0
            & c3_1(a58) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | hskp4
          | hskp2 )
        & ( hskp15
          | hskp25
          | hskp2 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp8
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c3_1(X25)
                | c2_1(X25) ) )
          | hskp9 )
        & ( hskp2
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | hskp23 )
        & ( hskp24
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a36)
            & ~ c2_1(a36)
            & ~ c1_1(a36) )
          | ~ hskp19 )
        & ( hskp9
          | hskp16
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c0_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( hskp0
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | c3_1(X31) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c0_1(X5)
                | c1_1(X5) ) ) )
        & ( hskp5
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | c2_1(X57) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c1_1(X24)
                | c2_1(X24) ) )
          | hskp28
          | hskp27 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | hskp6
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c0_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ~ hskp20
          | ( c3_1(a38)
            & ndr1_0
            & c1_1(a38)
            & ~ c0_1(a38) ) )
        & ( ( c1_1(a10)
            & ndr1_0
            & c3_1(a10)
            & c2_1(a10) )
          | ~ hskp27 )
        & ( ~ hskp14
          | ( ~ c2_1(a26)
            & ndr1_0
            & ~ c0_1(a26)
            & ~ c1_1(a26) ) )
        & ( hskp11
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c3_1(X29)
                | c2_1(X29) ) )
          | hskp6 )
        & ( hskp19
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( ~ hskp17
          | ( ~ c0_1(a32)
            & ~ c2_1(a32)
            & ndr1_0
            & c3_1(a32) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c3_1(X30)
                | c2_1(X30) ) )
          | hskp13
          | hskp12 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c1_1(X68)
                | ~ c0_1(X68) ) )
          | hskp16 )
        & ( hskp17
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c1_1(X46)
                | c2_1(X46) ) ) )
        & ( hskp22
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c0_1(X21)
                | ~ c1_1(X21) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a34)
            & c3_1(a34)
            & ~ c1_1(a34) )
          | ~ hskp18 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( hskp7
          | hskp30
          | hskp27 )
        & ( ( ndr1_0
            & c0_1(a2)
            & c3_1(a2)
            & ~ c2_1(a2) )
          | ~ hskp1 )
        & ( hskp9
          | hskp28
          | hskp7 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c3_1(X40)
                | c0_1(X40) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( hskp9
          | hskp1
          | hskp28 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c3_1(a43)
            & ~ c1_1(a43)
            & c2_1(a43) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) )
          | hskp13
          | hskp1 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c3_1(X27)
                | c2_1(X27) ) )
          | hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp7
          | hskp6 )
        & ( ~ hskp2
          | ( c0_1(a3)
            & ~ c1_1(a3)
            & ndr1_0
            & c2_1(a3) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c0_1(X4)
                | c3_1(X4) ) )
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) ) )
        & ( ~ hskp5
          | ( c0_1(a6)
            & c2_1(a6)
            & ~ c3_1(a6)
            & ndr1_0 ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | hskp2
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( ~ hskp16
          | ( ~ c1_1(a31)
            & ~ c0_1(a31)
            & c2_1(a31)
            & ndr1_0 ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) )
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ( c3_1(a4)
            & ~ c0_1(a4)
            & ndr1_0
            & ~ c1_1(a4) )
          | ~ hskp3 )
        & ( hskp30
          | hskp18
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c1_1(X48)
                | c2_1(X48) ) ) )
        & ( hskp2
          | hskp30
          | hskp18 )
        & ( ( ndr1_0
            & ~ c1_1(a18)
            & ~ c0_1(a18)
            & ~ c3_1(a18) )
          | ~ hskp10 )
        & ( ~ hskp4
          | ( c3_1(a5)
            & ndr1_0
            & c2_1(a5)
            & ~ c1_1(a5) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a25)
            & c0_1(a25)
            & c2_1(a25) ) )
        & ( ( c0_1(a8)
            & ~ c3_1(a8)
            & ndr1_0
            & ~ c2_1(a8) )
          | ~ hskp6 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c3_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | hskp29 )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c3_1(X53)
                | c2_1(X53) ) )
          | hskp22 )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp25
          | hskp27
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c2_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( hskp0
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) )
          | hskp3
          | hskp9 )
        & ( hskp5
          | hskp0
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp0
          | hskp21
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c1_1(X52)
                | c2_1(X52) ) ) )
        & ( hskp17
          | hskp30
          | hskp27 )
        & ( hskp0
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp1 )
        & ( ~ hskp23
          | ( ~ c1_1(a52)
            & ndr1_0
            & c0_1(a52)
            & ~ c2_1(a52) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a15)
            & c3_1(a15)
            & c0_1(a15) ) )
        & ( ( c2_1(a42)
            & c3_1(a42)
            & ~ c0_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c1_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) ) )
        & ( hskp5
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c3_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | ~ c1_1(X80) ) )
          | hskp14 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c3_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( hskp4
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ~ hskp13
          | ( ~ c0_1(a22)
            & ~ c3_1(a22)
            & ~ c2_1(a22)
            & ndr1_0 ) )
        & ( ~ hskp9
          | ( c1_1(a12)
            & ndr1_0
            & ~ c2_1(a12)
            & ~ c3_1(a12) ) )
        & ( hskp19
          | hskp22
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp19
          | hskp1
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a64)
            & c1_1(a64)
            & ~ c2_1(a64) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c0_1(X33)
                | ~ c2_1(X33) ) )
          | hskp3
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) ) )
        & ( hskp29
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | hskp20 )
        & ( ( ndr1_0
            & c2_1(a92)
            & ~ c0_1(a92)
            & ~ c3_1(a92) )
          | ~ hskp26 )
        & ( ( c1_1(a27)
            & ~ c2_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c2_1(X13)
                | ~ c3_1(X13) ) )
          | hskp3 )
        & ( hskp24
          | hskp23
          | hskp2 )
        & ( ~ hskp11
          | ( c0_1(a19)
            & c1_1(a19)
            & ndr1_0
            & ~ c3_1(a19) ) )
        & ( hskp13
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c1_1(X63)
                | ~ c0_1(X63) ) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c3_1(a33)
            & c0_1(a33)
            & c2_1(a33) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c1_1(X9) ) )
          | hskp1 )
        & ( hskp22
          | hskp11 )
        & ( ( ndr1_0
            & c2_1(a11)
            & c1_1(a11)
            & ~ c3_1(a11) )
          | ~ hskp8 )
        & ( hskp7
          | hskp11
          | hskp20 )
        & ( ( ndr1_0
            & c0_1(a21)
            & ~ c3_1(a21)
            & ~ c1_1(a21) )
          | ~ hskp12 )
        & ( ~ hskp0
          | ( c1_1(a1)
            & c2_1(a1)
            & ~ c0_1(a1)
            & ndr1_0 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp26
        | hskp18 )
      & ( hskp14
        | hskp29
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( ( ~ c2_1(a9)
          & ndr1_0
          & c1_1(a9)
          & ~ c0_1(a9) )
        | ~ hskp7 )
      & ( ~ hskp24
        | ( ~ c1_1(a58)
          & c0_1(a58)
          & ndr1_0
          & c3_1(a58) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | c3_1(X76) ) )
        | hskp4
        | hskp2 )
      & ( hskp15
        | hskp25
        | hskp2 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp8
        | hskp27 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c3_1(X25)
              | c2_1(X25) ) )
        | hskp9 )
      & ( hskp2
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) )
        | hskp23 )
      & ( hskp24
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c1_1(X77)
              | c2_1(X77) ) ) )
      & ( ( ndr1_0
          & ~ c3_1(a36)
          & ~ c2_1(a36)
          & ~ c1_1(a36) )
        | ~ hskp19 )
      & ( hskp9
        | hskp16
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c0_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( hskp0
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c1_1(X31)
              | c3_1(X31) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | ~ c0_1(X7)
              | c3_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c0_1(X5)
              | c1_1(X5) ) ) )
      & ( hskp5
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | ~ c3_1(X57)
              | c2_1(X57) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c1_1(X24)
              | c2_1(X24) ) )
        | hskp28
        | hskp27 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | hskp6
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c0_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ~ hskp20
        | ( c3_1(a38)
          & ndr1_0
          & c1_1(a38)
          & ~ c0_1(a38) ) )
      & ( ( c1_1(a10)
          & ndr1_0
          & c3_1(a10)
          & c2_1(a10) )
        | ~ hskp27 )
      & ( ~ hskp14
        | ( ~ c2_1(a26)
          & ndr1_0
          & ~ c0_1(a26)
          & ~ c1_1(a26) ) )
      & ( hskp11
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c3_1(X29)
              | c2_1(X29) ) )
        | hskp6 )
      & ( hskp19
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) ) )
      & ( ~ hskp17
        | ( ~ c0_1(a32)
          & ~ c2_1(a32)
          & ndr1_0
          & c3_1(a32) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c3_1(X30)
              | c2_1(X30) ) )
        | hskp13
        | hskp12 )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c1_1(X68)
              | ~ c0_1(X68) ) )
        | hskp16 )
      & ( hskp17
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | ~ c0_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c1_1(X46)
              | c2_1(X46) ) ) )
      & ( hskp22
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | ~ c0_1(X74)
              | c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c0_1(X21)
              | ~ c1_1(X21) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a34)
          & c3_1(a34)
          & ~ c1_1(a34) )
        | ~ hskp18 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) ) )
      & ( hskp7
        | hskp30
        | hskp27 )
      & ( ( ndr1_0
          & c0_1(a2)
          & c3_1(a2)
          & ~ c2_1(a2) )
        | ~ hskp1 )
      & ( hskp9
        | hskp28
        | hskp7 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | ~ c2_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c3_1(X40)
              | c0_1(X40) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) ) )
      & ( hskp9
        | hskp1
        | hskp28 )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c3_1(a43)
          & ~ c1_1(a43)
          & c2_1(a43) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) )
        | hskp13
        | hskp1 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | ~ c3_1(X27)
              | c2_1(X27) ) )
        | hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c0_1(X28)
              | ~ c2_1(X28) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp7
        | hskp6 )
      & ( ~ hskp2
        | ( c0_1(a3)
          & ~ c1_1(a3)
          & ndr1_0
          & c2_1(a3) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c0_1(X4)
              | c3_1(X4) ) )
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) ) )
      & ( ~ hskp5
        | ( c0_1(a6)
          & c2_1(a6)
          & ~ c3_1(a6)
          & ndr1_0 ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c2_1(X10)
              | c1_1(X10) ) )
        | hskp2
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) ) )
      & ( ~ hskp16
        | ( ~ c1_1(a31)
          & ~ c0_1(a31)
          & c2_1(a31)
          & ndr1_0 ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c1_1(X61)
              | c3_1(X61) ) )
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ( c3_1(a4)
          & ~ c0_1(a4)
          & ndr1_0
          & ~ c1_1(a4) )
        | ~ hskp3 )
      & ( hskp30
        | hskp18
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c1_1(X48)
              | c2_1(X48) ) ) )
      & ( hskp2
        | hskp30
        | hskp18 )
      & ( ( ndr1_0
          & ~ c1_1(a18)
          & ~ c0_1(a18)
          & ~ c3_1(a18) )
        | ~ hskp10 )
      & ( ~ hskp4
        | ( c3_1(a5)
          & ndr1_0
          & c2_1(a5)
          & ~ c1_1(a5) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a25)
          & c0_1(a25)
          & c2_1(a25) ) )
      & ( ( c0_1(a8)
          & ~ c3_1(a8)
          & ndr1_0
          & ~ c2_1(a8) )
        | ~ hskp6 )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c3_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | hskp29 )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c3_1(X53)
              | c2_1(X53) ) )
        | hskp22 )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | c0_1(X14)
              | c3_1(X14) ) ) )
      & ( hskp25
        | hskp27
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c2_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( hskp0
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) )
        | hskp3
        | hskp9 )
      & ( hskp5
        | hskp0
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp0
        | hskp21
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c1_1(X52)
              | c2_1(X52) ) ) )
      & ( hskp17
        | hskp30
        | hskp27 )
      & ( hskp0
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp1 )
      & ( ~ hskp23
        | ( ~ c1_1(a52)
          & ndr1_0
          & c0_1(a52)
          & ~ c2_1(a52) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a15)
          & c3_1(a15)
          & c0_1(a15) ) )
      & ( ( c2_1(a42)
          & c3_1(a42)
          & ~ c0_1(a42)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c1_1(X66)
              | c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) ) )
      & ( hskp5
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c3_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | ~ c1_1(X80) ) )
        | hskp14 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c0_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c3_1(X37)
              | ~ c2_1(X37) ) ) )
      & ( hskp4
        | hskp15
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( ~ hskp13
        | ( ~ c0_1(a22)
          & ~ c3_1(a22)
          & ~ c2_1(a22)
          & ndr1_0 ) )
      & ( ~ hskp9
        | ( c1_1(a12)
          & ndr1_0
          & ~ c2_1(a12)
          & ~ c3_1(a12) ) )
      & ( hskp19
        | hskp22
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp19
        | hskp1
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a64)
          & c1_1(a64)
          & ~ c2_1(a64) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c0_1(X33)
              | ~ c2_1(X33) ) )
        | hskp3
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | ~ c0_1(X34) ) ) )
      & ( hskp29
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | hskp20 )
      & ( ( ndr1_0
          & c2_1(a92)
          & ~ c0_1(a92)
          & ~ c3_1(a92) )
        | ~ hskp26 )
      & ( ( c1_1(a27)
          & ~ c2_1(a27)
          & c0_1(a27)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | c2_1(X13)
              | ~ c3_1(X13) ) )
        | hskp3 )
      & ( hskp24
        | hskp23
        | hskp2 )
      & ( ~ hskp11
        | ( c0_1(a19)
          & c1_1(a19)
          & ndr1_0
          & ~ c3_1(a19) ) )
      & ( hskp13
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c1_1(X63)
              | ~ c0_1(X63) ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c3_1(a33)
          & c0_1(a33)
          & c2_1(a33) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | c1_1(X9) ) )
        | hskp1 )
      & ( hskp22
        | hskp11 )
      & ( ( ndr1_0
          & c2_1(a11)
          & c1_1(a11)
          & ~ c3_1(a11) )
        | ~ hskp8 )
      & ( hskp7
        | hskp11
        | hskp20 )
      & ( ( ndr1_0
          & c0_1(a21)
          & ~ c3_1(a21)
          & ~ c1_1(a21) )
        | ~ hskp12 )
      & ( ~ hskp0
        | ( c1_1(a1)
          & c2_1(a1)
          & ~ c0_1(a1)
          & ndr1_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f986,plain,
    ( spl0_154
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f82,f280,f983]) ).

fof(f280,plain,
    ( spl0_15
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f82,plain,
    ( ~ hskp2
    | c0_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f975,plain,
    ( spl0_31
    | spl0_7
    | spl0_74 ),
    inference(avatar_split_clause,[],[f190,f543,f246,f348]) ).

fof(f348,plain,
    ( spl0_31
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f543,plain,
    ( spl0_74
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f190,plain,
    ( hskp30
    | hskp27
    | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f969,plain,
    ( ~ spl0_81
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f153,f966,f580]) ).

fof(f580,plain,
    ( spl0_81
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f153,plain,
    ( ~ c2_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f964,plain,
    ( ~ spl0_150
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f162,f479,f961]) ).

fof(f479,plain,
    ( spl0_61
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f162,plain,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f959,plain,
    ( ~ spl0_28
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f117,f956,f337]) ).

fof(f337,plain,
    ( spl0_28
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f117,plain,
    ( ~ c3_1(a12)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( ~ spl0_49
    | spl0_148 ),
    inference(avatar_split_clause,[],[f67,f951,f430]) ).

fof(f430,plain,
    ( spl0_49
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f67,plain,
    ( c3_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f949,plain,
    ( spl0_49
    | ~ spl0_8
    | spl0_74
    | spl0_29 ),
    inference(avatar_split_clause,[],[f147,f342,f543,f250,f430]) ).

fof(f250,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f147,plain,
    ! [X18] :
      ( c1_1(X18)
      | c3_1(X18)
      | hskp30
      | ~ ndr1_0
      | hskp18
      | c2_1(X18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f948,plain,
    ( ~ spl0_147
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f109,f404,f945]) ).

fof(f404,plain,
    ( spl0_44
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f109,plain,
    ( ~ hskp21
    | ~ c0_1(a42) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f943,plain,
    ( ~ spl0_8
    | spl0_95
    | spl0_10
    | spl0_63 ),
    inference(avatar_split_clause,[],[f192,f489,f260,f651,f250]) ).

fof(f260,plain,
    ( spl0_10
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f192,plain,
    ! [X72,X71] :
      ( ~ c3_1(X72)
      | c1_1(X72)
      | hskp22
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | ~ c3_1(X71)
      | c2_1(X71) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f50,plain,
    ! [X72,X71] :
      ( hskp22
      | ~ c3_1(X72)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X71)
      | ~ c2_1(X72)
      | c1_1(X72)
      | c2_1(X71) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f942,plain,
    ( ~ spl0_92
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f25,f939,f637]) ).

fof(f637,plain,
    ( spl0_92
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f25,plain,
    ( ~ c3_1(a11)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f926,plain,
    ( spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f189,f260,f250]) ).

fof(f189,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( spl0_39
    | spl0_82
    | ~ spl0_8
    | spl0_95 ),
    inference(avatar_split_clause,[],[f193,f651,f250,f585,f380]) ).

fof(f380,plain,
    ( spl0_39
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f193,plain,
    ! [X44,X43] :
      ( c2_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | c1_1(X44)
      | ~ c3_1(X44)
      | ~ c2_1(X43)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X44,X43] :
      ( hskp29
      | ~ c2_1(X43)
      | c2_1(X44)
      | ~ ndr1_0
      | c1_1(X44)
      | ~ c1_1(X43)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( ~ spl0_31
    | spl0_143 ),
    inference(avatar_split_clause,[],[f113,f919,f348]) ).

fof(f113,plain,
    ( c3_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f913,plain,
    ( spl0_19
    | ~ spl0_8
    | spl0_7
    | spl0_34 ),
    inference(avatar_split_clause,[],[f92,f362,f246,f250,f298]) ).

fof(f298,plain,
    ( spl0_19
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f92,plain,
    ! [X38] :
      ( c0_1(X38)
      | hskp27
      | ~ ndr1_0
      | ~ c1_1(X38)
      | c2_1(X38)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f908,plain,
    ( spl0_12
    | spl0_138
    | ~ spl0_8
    | spl0_35 ),
    inference(avatar_split_clause,[],[f196,f365,f250,f894,f268]) ).

fof(f196,plain,
    ! [X10,X8,X9] :
      ( ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | ~ c0_1(X10)
      | c0_1(X9)
      | c3_1(X8)
      | c1_1(X8)
      | c2_1(X10)
      | ~ c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X10,X8,X9] :
      ( ~ c2_1(X9)
      | c1_1(X8)
      | ~ c0_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | c0_1(X9)
      | c2_1(X10)
      | c3_1(X8) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_44
    | spl0_140 ),
    inference(avatar_split_clause,[],[f111,f904,f404]) ).

fof(f111,plain,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f901,plain,
    ( spl0_139
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f132,f400,f898]) ).

fof(f400,plain,
    ( spl0_43
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f132,plain,
    ( ~ hskp0
    | c2_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f896,plain,
    ( ~ spl0_8
    | spl0_43
    | spl0_137
    | spl0_138 ),
    inference(avatar_split_clause,[],[f197,f894,f891,f400,f250]) ).

fof(f197,plain,
    ! [X76,X75] :
      ( ~ c2_1(X76)
      | c3_1(X75)
      | c1_1(X76)
      | hskp0
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | c3_1(X76) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X76,X75] :
      ( ~ c2_1(X76)
      | ~ ndr1_0
      | c3_1(X75)
      | c3_1(X76)
      | hskp0
      | ~ ndr1_0
      | c0_1(X75)
      | c1_1(X76)
      | ~ c1_1(X75) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f889,plain,
    ( spl0_9
    | ~ spl0_8
    | spl0_73
    | spl0_38 ),
    inference(avatar_split_clause,[],[f198,f377,f539,f250,f255]) ).

fof(f255,plain,
    ( spl0_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f198,plain,
    ! [X83,X84] :
      ( ~ c2_1(X83)
      | c2_1(X84)
      | ~ c3_1(X83)
      | c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp10
      | ~ c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f8,plain,
    ! [X83,X84] :
      ( ~ c2_1(X83)
      | ~ ndr1_0
      | c0_1(X84)
      | c2_1(X84)
      | ~ c3_1(X84)
      | ~ c0_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f886,plain,
    ( spl0_136
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f30,f298,f883]) ).

fof(f30,plain,
    ( ~ hskp28
    | c3_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( ~ spl0_8
    | spl0_129
    | spl0_61 ),
    inference(avatar_split_clause,[],[f58,f479,f836,f250]) ).

fof(f58,plain,
    ! [X65] :
      ( hskp4
      | c3_1(X65)
      | c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f879,plain,
    ( spl0_43
    | ~ spl0_8
    | spl0_95
    | spl0_54 ),
    inference(avatar_split_clause,[],[f200,f450,f651,f250,f400]) ).

fof(f200,plain,
    ! [X3,X4] :
      ( c3_1(X3)
      | ~ c3_1(X4)
      | ~ c1_1(X3)
      | c2_1(X4)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X3)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X3,X4] :
      ( c2_1(X4)
      | ~ ndr1_0
      | c3_1(X3)
      | ~ c3_1(X4)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | c1_1(X4)
      | hskp0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f878,plain,
    ( ~ spl0_135
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f46,f239,f875]) ).

fof(f239,plain,
    ( spl0_5
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f46,plain,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f873,plain,
    ( spl0_134
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f126,f321,f870]) ).

fof(f321,plain,
    ( spl0_24
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f126,plain,
    ( ~ hskp1
    | c0_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f867,plain,
    ( ~ spl0_8
    | spl0_88
    | spl0_66
    | spl0_17 ),
    inference(avatar_split_clause,[],[f201,f289,f504,f616,f250]) ).

fof(f289,plain,
    ( spl0_17
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f201,plain,
    ! [X82,X81] :
      ( hskp5
      | ~ c2_1(X81)
      | c1_1(X81)
      | c0_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ c0_1(X81)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ! [X82,X81] :
      ( ~ ndr1_0
      | c1_1(X81)
      | ~ c2_1(X82)
      | ~ c0_1(X81)
      | hskp5
      | ~ c3_1(X82)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c0_1(X82) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( ~ spl0_17
    | spl0_133 ),
    inference(avatar_split_clause,[],[f102,f863,f289]) ).

fof(f102,plain,
    ( c2_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( ~ spl0_8
    | spl0_17
    | spl0_58
    | spl0_43 ),
    inference(avatar_split_clause,[],[f16,f400,f469,f289,f250]) ).

fof(f16,plain,
    ! [X78] :
      ( hskp0
      | c0_1(X78)
      | hskp5
      | ~ ndr1_0
      | ~ c2_1(X78)
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f859,plain,
    ( ~ spl0_8
    | spl0_43
    | spl0_24
    | spl0_63 ),
    inference(avatar_split_clause,[],[f11,f489,f321,f400,f250]) ).

fof(f11,plain,
    ! [X79] :
      ( ~ c3_1(X79)
      | c1_1(X79)
      | hskp1
      | ~ c2_1(X79)
      | hskp0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f858,plain,
    ( spl0_132
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f125,f321,f855]) ).

fof(f125,plain,
    ( ~ hskp1
    | c3_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f853,plain,
    ( spl0_64
    | ~ spl0_8
    | spl0_66
    | spl0_88 ),
    inference(avatar_split_clause,[],[f202,f616,f504,f250,f496]) ).

fof(f202,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c0_1(X64)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c1_1(X64)
      | c3_1(X63)
      | ~ c2_1(X64)
      | ~ c3_1(X62)
      | ~ c2_1(X63) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ! [X62,X63,X64] :
      ( ~ c0_1(X63)
      | ~ c2_1(X62)
      | c3_1(X63)
      | c0_1(X62)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X63) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( ~ spl0_11
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f174,f847,f264]) ).

fof(f264,plain,
    ( spl0_11
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f174,plain,
    ( ~ c3_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( ~ spl0_36
    | spl0_130 ),
    inference(avatar_split_clause,[],[f171,f842,f369]) ).

fof(f369,plain,
    ( spl0_36
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f171,plain,
    ( c3_1(a4)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f839,plain,
    ( ~ spl0_8
    | spl0_81
    | spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f73,f373,f221,f580,f250]) ).

fof(f221,plain,
    ( spl0_1
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f73,plain,
    ! [X51] :
      ( ~ c3_1(X51)
      | hskp6
      | hskp7
      | c1_1(X51)
      | ~ ndr1_0
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( spl0_36
    | spl0_129
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f203,f268,f250,f836,f369]) ).

fof(f203,plain,
    ! [X40,X39] :
      ( ~ c0_1(X40)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X40)
      | c3_1(X39)
      | hskp3
      | ~ c3_1(X40)
      | c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f89]) ).

fof(f89,plain,
    ! [X40,X39] :
      ( ~ c0_1(X40)
      | ~ ndr1_0
      | c3_1(X39)
      | c1_1(X39)
      | hskp3
      | c2_1(X40)
      | c0_1(X39)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f834,plain,
    ( ~ spl0_15
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f81,f831,f280]) ).

fof(f81,plain,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( spl0_7
    | spl0_37
    | ~ spl0_8
    | spl0_92 ),
    inference(avatar_split_clause,[],[f146,f637,f250,f373,f246]) ).

fof(f146,plain,
    ! [X19] :
      ( hskp8
      | ~ ndr1_0
      | c1_1(X19)
      | hskp27
      | ~ c3_1(X19)
      | c0_1(X19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( ~ spl0_74
    | spl0_126 ),
    inference(avatar_split_clause,[],[f22,f819,f543]) ).

fof(f22,plain,
    ( c0_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f811,plain,
    ( ~ spl0_1
    | spl0_124 ),
    inference(avatar_split_clause,[],[f37,f808,f221]) ).

fof(f37,plain,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( ~ spl0_20
    | spl0_123 ),
    inference(avatar_split_clause,[],[f65,f803,f303]) ).

fof(f303,plain,
    ( spl0_20
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f65,plain,
    ( c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( spl0_122
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f151,f580,f798]) ).

fof(f151,plain,
    ( ~ hskp7
    | c1_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl0_121
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f34,f221,f793]) ).

fof(f34,plain,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f791,plain,
    ( ~ spl0_92
    | spl0_120 ),
    inference(avatar_split_clause,[],[f26,f788,f637]) ).

fof(f26,plain,
    ( c1_1(a11)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( ~ spl0_8
    | spl0_1
    | spl0_73
    | spl0_34 ),
    inference(avatar_split_clause,[],[f204,f362,f539,f221,f250]) ).

fof(f204,plain,
    ! [X21,X20] :
      ( c2_1(X20)
      | c0_1(X21)
      | c0_1(X20)
      | ~ c1_1(X20)
      | c2_1(X21)
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X21) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X21,X20] :
      ( c2_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | c0_1(X21)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X21)
      | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f757,plain,
    ( ~ spl0_9
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f182,f754,f255]) ).

fof(f182,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f752,plain,
    ( spl0_81
    | spl0_7
    | spl0_74 ),
    inference(avatar_split_clause,[],[f83,f543,f246,f580]) ).

fof(f83,plain,
    ( hskp30
    | hskp27
    | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f745,plain,
    ( spl0_111
    | ~ spl0_8
    | spl0_112
    | spl0_82 ),
    inference(avatar_split_clause,[],[f206,f585,f743,f250,f740]) ).

fof(f206,plain,
    ! [X28,X29,X30] :
      ( ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ~ c1_1(X29)
      | ~ c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f121]) ).

fof(f121,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X30)
      | ~ c0_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | ~ c1_1(X29)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( ~ spl0_61
    | spl0_110 ),
    inference(avatar_split_clause,[],[f165,f735,f479]) ).

fof(f165,plain,
    ( c3_1(a5)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f730,plain,
    ( spl0_109
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f53,f380,f727]) ).

fof(f53,plain,
    ( ~ hskp29
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f725,plain,
    ( ~ spl0_5
    | spl0_108 ),
    inference(avatar_split_clause,[],[f47,f722,f239]) ).

fof(f47,plain,
    ( c1_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f720,plain,
    ( ~ spl0_107
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f187,f260,f717]) ).

fof(f187,plain,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f709,plain,
    ( ~ spl0_105
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f168,f369,f706]) ).

fof(f168,plain,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( ~ spl0_39
    | spl0_102 ),
    inference(avatar_split_clause,[],[f51,f690,f380]) ).

fof(f51,plain,
    ( c2_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f688,plain,
    ( ~ spl0_36
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f170,f685,f369]) ).

fof(f170,plain,
    ( ~ c0_1(a4)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f678,plain,
    ( ~ spl0_99
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f66,f430,f675]) ).

fof(f66,plain,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f672,plain,
    ( spl0_10
    | spl0_20 ),
    inference(avatar_split_clause,[],[f160,f303,f260]) ).

fof(f160,plain,
    ( hskp11
    | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f671,plain,
    ( spl0_74
    | spl0_15
    | spl0_49 ),
    inference(avatar_split_clause,[],[f90,f430,f280,f543]) ).

fof(f90,plain,
    ( hskp18
    | hskp2
    | hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f665,plain,
    ( ~ spl0_7
    | spl0_97 ),
    inference(avatar_split_clause,[],[f137,f662,f246]) ).

fof(f137,plain,
    ( c1_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f660,plain,
    ( spl0_10
    | spl0_65
    | ~ spl0_8
    | spl0_60 ),
    inference(avatar_split_clause,[],[f207,f476,f250,f499,f260]) ).

fof(f207,plain,
    ! [X26,X27] :
      ( c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | c3_1(X26)
      | c3_1(X27)
      | hskp22
      | ~ c1_1(X26)
      | c2_1(X26) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ! [X26,X27] :
      ( c3_1(X26)
      | hskp22
      | ~ c0_1(X27)
      | ~ c1_1(X26)
      | c3_1(X27)
      | c2_1(X27)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f649,plain,
    ( spl0_94
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f133,f400,f646]) ).

fof(f133,plain,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f644,plain,
    ( ~ spl0_92
    | spl0_93 ),
    inference(avatar_split_clause,[],[f27,f641,f637]) ).

fof(f27,plain,
    ( c2_1(a11)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( spl0_8
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f63,f303,f250]) ).

fof(f63,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f634,plain,
    ( ~ spl0_8
    | spl0_28
    | spl0_73
    | spl0_30 ),
    inference(avatar_split_clause,[],[f209,f345,f539,f337,f250]) ).

fof(f209,plain,
    ! [X11,X12] :
      ( c1_1(X12)
      | ~ c0_1(X12)
      | ~ c3_1(X11)
      | c3_1(X12)
      | hskp9
      | ~ ndr1_0
      | c0_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | ~ ndr1_0
      | c2_1(X11)
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X11)
      | c1_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f633,plain,
    ( ~ spl0_9
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f183,f630,f255]) ).

fof(f183,plain,
    ( ~ c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f628,plain,
    ( ~ spl0_74
    | spl0_90 ),
    inference(avatar_split_clause,[],[f23,f625,f543]) ).

fof(f23,plain,
    ( c3_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f623,plain,
    ( ~ spl0_81
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f150,f620,f580]) ).

fof(f150,plain,
    ( ~ c0_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f614,plain,
    ( ~ spl0_44
    | spl0_87 ),
    inference(avatar_split_clause,[],[f110,f611,f404]) ).

fof(f110,plain,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f604,plain,
    ( ~ spl0_9
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f184,f601,f255]) ).

fof(f184,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f593,plain,
    ( spl0_66
    | spl0_24
    | ~ spl0_8
    | spl0_59 ),
    inference(avatar_split_clause,[],[f210,f472,f250,f321,f504]) ).

fof(f210,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | ~ ndr1_0
      | c1_1(X22)
      | hskp1
      | ~ c0_1(X23)
      | c2_1(X22)
      | ~ c2_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X22,X23] :
      ( c2_1(X22)
      | ~ c2_1(X23)
      | c1_1(X22)
      | c0_1(X22)
      | ~ ndr1_0
      | hskp1
      | ~ c0_1(X23)
      | ~ ndr1_0
      | c1_1(X23) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( ~ spl0_83
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f172,f264,f589]) ).

fof(f172,plain,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f587,plain,
    ( spl0_63
    | ~ spl0_8
    | spl0_82
    | spl0_11 ),
    inference(avatar_split_clause,[],[f211,f264,f585,f250,f489]) ).

fof(f211,plain,
    ! [X16,X15] :
      ( hskp19
      | ~ c1_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X16)
      | ~ c3_1(X15)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X16,X15] :
      ( ~ c3_1(X16)
      | hskp19
      | ~ c2_1(X15)
      | ~ c2_1(X16)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | c1_1(X16)
      | ~ c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( ~ spl0_80
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f173,f264,f575]) ).

fof(f173,plain,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( ~ spl0_79
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f12,f312,f570]) ).

fof(f312,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f12,plain,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f567,plain,
    ( ~ spl0_10
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f188,f564,f260]) ).

fof(f188,plain,
    ( ~ c3_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f556,plain,
    ( spl0_76
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f21,f543,f553]) ).

fof(f21,plain,
    ( ~ hskp30
    | c2_1(a33) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( ~ spl0_75
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f13,f312,f548]) ).

fof(f13,plain,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f532,plain,
    ( ~ spl0_39
    | spl0_71 ),
    inference(avatar_split_clause,[],[f52,f529,f380]) ).

fof(f52,plain,
    ( c0_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f527,plain,
    ( ~ spl0_61
    | spl0_70 ),
    inference(avatar_split_clause,[],[f163,f524,f479]) ).

fof(f163,plain,
    ( c2_1(a5)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( ~ spl0_8
    | spl0_15
    | spl0_60
    | spl0_59 ),
    inference(avatar_split_clause,[],[f212,f472,f476,f280,f250]) ).

fof(f212,plain,
    ! [X60,X61] :
      ( c0_1(X61)
      | c3_1(X60)
      | hskp2
      | c2_1(X60)
      | c1_1(X61)
      | ~ c0_1(X60)
      | c2_1(X61)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f60,plain,
    ! [X60,X61] :
      ( ~ ndr1_0
      | c2_1(X61)
      | c0_1(X61)
      | c2_1(X60)
      | ~ c0_1(X60)
      | hskp2
      | c1_1(X61)
      | ~ ndr1_0
      | c3_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f520,plain,
    ( ~ spl0_69
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f116,f348,f517]) ).

fof(f116,plain,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f487,plain,
    ( ~ spl0_49
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f68,f484,f430]) ).

fof(f68,plain,
    ( ~ c2_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f482,plain,
    ( spl0_15
    | ~ spl0_8
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f75,f479,f476,f250,f280]) ).

fof(f75,plain,
    ! [X48] :
      ( hskp4
      | ~ c0_1(X48)
      | ~ ndr1_0
      | c3_1(X48)
      | c2_1(X48)
      | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f467,plain,
    ( ~ spl0_10
    | spl0_57 ),
    inference(avatar_split_clause,[],[f186,f464,f260]) ).

fof(f186,plain,
    ( c2_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f457,plain,
    ( ~ spl0_31
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f115,f454,f348]) ).

fof(f115,plain,
    ( ~ c2_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f441,plain,
    ( ~ spl0_24
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f124,f438,f321]) ).

fof(f124,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f436,plain,
    ( spl0_49
    | ~ spl0_8
    | spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f176,f434,f312,f250,f430]) ).

fof(f176,plain,
    ! [X5] :
      ( c2_1(X5)
      | hskp14
      | ~ c3_1(X5)
      | ~ ndr1_0
      | hskp18
      | ~ c1_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f428,plain,
    ( ~ spl0_48
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f101,f289,f425]) ).

fof(f101,plain,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f423,plain,
    ( ~ spl0_47
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f131,f400,f420]) ).

fof(f131,plain,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f417,plain,
    ( spl0_46
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f31,f298,f414]) ).

fof(f31,plain,
    ( ~ hskp28
    | c1_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f412,plain,
    ( ~ spl0_20
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f62,f409,f303]) ).

fof(f62,plain,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f407,plain,
    ( spl0_43
    | ~ spl0_8
    | spl0_26
    | spl0_44 ),
    inference(avatar_split_clause,[],[f93,f404,f329,f250,f400]) ).

fof(f93,plain,
    ! [X37] :
      ( hskp21
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f398,plain,
    ( spl0_42
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f79,f280,f395]) ).

fof(f79,plain,
    ( ~ hskp2
    | c2_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f393,plain,
    ( ~ spl0_7
    | spl0_41 ),
    inference(avatar_split_clause,[],[f135,f390,f246]) ).

fof(f135,plain,
    ( c3_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f388,plain,
    ( ~ spl0_5
    | spl0_40 ),
    inference(avatar_split_clause,[],[f48,f385,f239]) ).

fof(f48,plain,
    ( c3_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f383,plain,
    ( spl0_38
    | spl0_39
    | spl0_30
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f217,f250,f345,f380,f377]) ).

fof(f217,plain,
    ! [X34,X33] :
      ( ~ ndr1_0
      | c1_1(X33)
      | hskp29
      | ~ c3_1(X34)
      | ~ c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X34)
      | ~ c0_1(X34) ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f99,plain,
    ! [X34,X33] :
      ( ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f367,plain,
    ( ~ spl0_8
    | spl0_30
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f218,f365,f362,f345,f250]) ).

fof(f218,plain,
    ! [X68,X69,X67] :
      ( c0_1(X69)
      | ~ c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X67)
      | c1_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f56,plain,
    ! [X68,X69,X67] :
      ( ~ c0_1(X67)
      | ~ c1_1(X69)
      | c3_1(X67)
      | c0_1(X68)
      | c2_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X69)
      | ~ c1_1(X68)
      | c1_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f351,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_8
    | spl0_31 ),
    inference(avatar_split_clause,[],[f219,f348,f250,f345,f342]) ).

fof(f219,plain,
    ! [X50,X49] :
      ( hskp17
      | ~ ndr1_0
      | c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X49)
      | c1_1(X49)
      | c2_1(X49)
      | c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ! [X50,X49] :
      ( ~ c0_1(X50)
      | ~ ndr1_0
      | c1_1(X50)
      | c3_1(X49)
      | c3_1(X50)
      | ~ ndr1_0
      | hskp17
      | c1_1(X49)
      | c2_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f340,plain,
    ( spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f120,f337,f333]) ).

fof(f120,plain,
    ( ~ hskp9
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f319,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f15,f316,f312]) ).

fof(f15,plain,
    ( ~ c2_1(a26)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f310,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f64,f307,f303]) ).

fof(f64,plain,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f301,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f29,f298,f294]) ).

fof(f29,plain,
    ( ~ hskp28
    | c0_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f292,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f103,f289,f285]) ).

fof(f103,plain,
    ( ~ hskp5
    | c0_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f270,plain,
    ( ~ spl0_8
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f268,f264,f260,f250]) ).

fof(f10,plain,
    ! [X80] :
      ( c2_1(X80)
      | ~ c3_1(X80)
      | hskp19
      | hskp22
      | ~ c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f253,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f55,f250,f246,f243,f239]) ).

fof(f55,plain,
    ! [X70] :
      ( ~ ndr1_0
      | hskp27
      | ~ c1_1(X70)
      | ~ c2_1(X70)
      | hskp25
      | c3_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f228,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f36,f225,f221]) ).

fof(f36,plain,
    ( ~ c3_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN443+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 21:55:18 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 1.12/0.52  % (5461)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.12/0.52  % (5454)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.29/0.53  % (5452)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.29/0.54  % (5453)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.29/0.54  % (5446)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.54  % (5462)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.55  % (5467)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.29/0.55  % (5450)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.29/0.55  % (5447)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.55  % (5451)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.29/0.55  % (5464)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.29/0.55  % (5470)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.29/0.55  % (5468)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.29/0.56  % (5456)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.56  % (5463)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.56  % (5466)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.56  % (5472)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.29/0.56  % (5462)Instruction limit reached!
% 1.29/0.56  % (5462)------------------------------
% 1.29/0.56  % (5462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.56  % (5462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.56  % (5462)Termination reason: Unknown
% 1.29/0.56  % (5462)Termination phase: Preprocessing 3
% 1.29/0.56  
% 1.29/0.56  % (5462)Memory used [KB]: 1791
% 1.29/0.56  % (5462)Time elapsed: 0.004 s
% 1.29/0.56  % (5462)Instructions burned: 4 (million)
% 1.29/0.56  % (5462)------------------------------
% 1.29/0.56  % (5462)------------------------------
% 1.29/0.56  % (5469)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.56  % (5445)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.29/0.56  % (5455)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.29/0.56  % (5456)Instruction limit reached!
% 1.29/0.56  % (5456)------------------------------
% 1.29/0.56  % (5456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.56  % (5447)Instruction limit reached!
% 1.29/0.56  % (5447)------------------------------
% 1.29/0.56  % (5447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.56  % (5448)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.57  % (5454)Instruction limit reached!
% 1.29/0.57  % (5454)------------------------------
% 1.29/0.57  % (5454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.57  % (5459)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.57  % (5464)Instruction limit reached!
% 1.29/0.57  % (5464)------------------------------
% 1.29/0.57  % (5464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.57  % (5474)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.29/0.57  % (5446)Instruction limit reached!
% 1.29/0.57  % (5446)------------------------------
% 1.29/0.57  % (5446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.57  % (5471)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.57  % (5460)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.57  % (5447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.57  % (5447)Termination reason: Unknown
% 1.29/0.57  % (5447)Termination phase: Clausification
% 1.29/0.57  
% 1.29/0.57  % (5447)Memory used [KB]: 1791
% 1.29/0.57  % (5447)Time elapsed: 0.004 s
% 1.29/0.57  % (5447)Instructions burned: 4 (million)
% 1.29/0.57  % (5447)------------------------------
% 1.29/0.57  % (5447)------------------------------
% 1.29/0.57  % (5449)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.57  % (5456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.57  % (5456)Termination reason: Unknown
% 1.29/0.57  % (5456)Termination phase: Saturation
% 1.29/0.57  
% 1.29/0.57  % (5456)Memory used [KB]: 6524
% 1.29/0.57  % (5456)Time elapsed: 0.006 s
% 1.29/0.57  % (5456)Instructions burned: 8 (million)
% 1.29/0.57  % (5456)------------------------------
% 1.29/0.57  % (5456)------------------------------
% 1.29/0.57  % (5464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.57  % (5464)Termination reason: Unknown
% 1.29/0.57  % (5464)Termination phase: Saturation
% 1.29/0.57  
% 1.29/0.57  % (5464)Memory used [KB]: 6780
% 1.29/0.57  % (5464)Time elapsed: 0.146 s
% 1.29/0.57  % (5464)Instructions burned: 12 (million)
% 1.29/0.57  % (5464)------------------------------
% 1.29/0.57  % (5464)------------------------------
% 1.29/0.57  % (5450)Instruction limit reached!
% 1.29/0.57  % (5450)------------------------------
% 1.29/0.57  % (5450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.57  % (5450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.57  % (5450)Termination reason: Unknown
% 1.29/0.57  % (5450)Termination phase: Saturation
% 1.29/0.57  
% 1.29/0.57  % (5450)Memory used [KB]: 1918
% 1.29/0.57  % (5450)Time elapsed: 0.145 s
% 1.29/0.57  % (5450)Instructions burned: 16 (million)
% 1.29/0.57  % (5450)------------------------------
% 1.29/0.57  % (5450)------------------------------
% 1.29/0.57  % (5463)Instruction limit reached!
% 1.29/0.57  % (5463)------------------------------
% 1.29/0.57  % (5463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.57  % (5463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.57  % (5463)Termination reason: Unknown
% 1.29/0.57  % (5463)Termination phase: Preprocessing 3
% 1.29/0.57  
% 1.29/0.57  % (5463)Memory used [KB]: 1663
% 1.29/0.57  % (5463)Time elapsed: 0.004 s
% 1.29/0.57  % (5463)Instructions burned: 3 (million)
% 1.29/0.57  % (5463)------------------------------
% 1.29/0.57  % (5463)------------------------------
% 1.29/0.57  % (5457)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.29/0.58  % (5458)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.58  % (5465)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.29/0.58  % (5460)Instruction limit reached!
% 1.29/0.58  % (5460)------------------------------
% 1.29/0.58  % (5460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (5446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (5446)Termination reason: Unknown
% 1.29/0.58  % (5446)Termination phase: Saturation
% 1.29/0.58  
% 1.29/0.58  % (5446)Memory used [KB]: 6908
% 1.29/0.58  % (5446)Time elapsed: 0.140 s
% 1.29/0.58  % (5446)Instructions burned: 13 (million)
% 1.29/0.58  % (5446)------------------------------
% 1.29/0.58  % (5446)------------------------------
% 1.29/0.58  % (5459)Instruction limit reached!
% 1.29/0.58  % (5459)------------------------------
% 1.29/0.58  % (5459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.59  % (5449)Instruction limit reached!
% 1.29/0.59  % (5449)------------------------------
% 1.29/0.59  % (5449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.59  % (5460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.59  % (5460)Termination reason: Unknown
% 1.29/0.59  % (5460)Termination phase: Saturation
% 1.29/0.59  
% 1.29/0.59  % (5460)Memory used [KB]: 6524
% 1.29/0.59  % (5460)Time elapsed: 0.007 s
% 1.29/0.59  % (5460)Instructions burned: 7 (million)
% 1.29/0.59  % (5460)------------------------------
% 1.29/0.59  % (5460)------------------------------
% 1.29/0.59  % (5472)Instruction limit reached!
% 1.29/0.59  % (5472)------------------------------
% 1.29/0.59  % (5472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.59  % (5472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.59  % (5472)Termination reason: Unknown
% 1.29/0.59  % (5472)Termination phase: Saturation
% 1.29/0.59  
% 1.29/0.59  % (5472)Memory used [KB]: 7036
% 1.29/0.59  % (5472)Time elapsed: 0.157 s
% 1.29/0.59  % (5472)Instructions burned: 25 (million)
% 1.29/0.59  % (5472)------------------------------
% 1.29/0.59  % (5472)------------------------------
% 1.29/0.59  % (5459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.59  % (5459)Termination reason: Unknown
% 1.29/0.59  % (5459)Termination phase: Preprocessing 3
% 1.29/0.59  
% 1.29/0.59  % (5459)Memory used [KB]: 1663
% 1.29/0.59  % (5459)Time elapsed: 0.004 s
% 1.29/0.59  % (5459)Instructions burned: 3 (million)
% 1.29/0.59  % (5459)------------------------------
% 1.29/0.59  % (5459)------------------------------
% 1.29/0.59  % (5473)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.29/0.59  % (5454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.59  % (5454)Termination reason: Unknown
% 1.29/0.59  % (5454)Termination phase: Saturation
% 1.29/0.59  
% 1.29/0.59  % (5454)Memory used [KB]: 7419
% 1.29/0.59  % (5454)Time elapsed: 0.120 s
% 1.29/0.59  % (5454)Instructions burned: 34 (million)
% 1.29/0.59  % (5454)------------------------------
% 1.29/0.59  % (5454)------------------------------
% 1.29/0.59  % (5455)Instruction limit reached!
% 1.29/0.59  % (5455)------------------------------
% 1.29/0.59  % (5455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.59  % (5455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.59  % (5455)Termination reason: Unknown
% 1.29/0.59  % (5455)Termination phase: Saturation
% 1.29/0.59  
% 1.29/0.59  % (5455)Memory used [KB]: 6780
% 1.29/0.59  % (5455)Time elapsed: 0.166 s
% 1.29/0.59  % (5455)Instructions burned: 12 (million)
% 1.29/0.59  % (5455)------------------------------
% 1.29/0.59  % (5455)------------------------------
% 1.29/0.60  % (5473)Instruction limit reached!
% 1.29/0.60  % (5473)------------------------------
% 1.29/0.60  % (5473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.60  % (5449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.60  % (5449)Termination reason: Unknown
% 1.29/0.60  % (5449)Termination phase: Saturation
% 1.29/0.60  
% 1.29/0.60  % (5449)Memory used [KB]: 6780
% 1.29/0.60  % (5449)Time elapsed: 0.153 s
% 1.29/0.60  % (5449)Instructions burned: 14 (million)
% 1.29/0.60  % (5449)------------------------------
% 1.29/0.60  % (5449)------------------------------
% 1.29/0.60  % (5473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.60  % (5473)Termination reason: Unknown
% 1.29/0.60  % (5473)Termination phase: Saturation
% 1.29/0.60  
% 1.29/0.60  % (5473)Memory used [KB]: 6524
% 1.29/0.60  % (5473)Time elapsed: 0.007 s
% 1.29/0.60  % (5473)Instructions burned: 8 (million)
% 1.29/0.60  % (5473)------------------------------
% 1.29/0.60  % (5473)------------------------------
% 1.29/0.60  % (5474)Refutation not found, non-redundant clauses discarded% (5474)------------------------------
% 1.29/0.60  % (5474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.60  % (5474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.60  % (5474)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.29/0.60  
% 1.29/0.60  % (5474)Memory used [KB]: 6780
% 1.29/0.60  % (5474)Time elapsed: 0.159 s
% 1.29/0.60  % (5474)Instructions burned: 23 (million)
% 1.29/0.60  % (5474)------------------------------
% 1.29/0.60  % (5474)------------------------------
% 1.29/0.60  % (5452)Instruction limit reached!
% 1.29/0.60  % (5452)------------------------------
% 1.29/0.60  % (5452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.60  % (5452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.60  % (5452)Termination reason: Unknown
% 1.29/0.60  % (5452)Termination phase: Saturation
% 1.29/0.60  
% 1.29/0.60  % (5452)Memory used [KB]: 7419
% 1.29/0.60  % (5452)Time elapsed: 0.135 s
% 1.29/0.60  % (5452)Instructions burned: 39 (million)
% 1.29/0.60  % (5452)------------------------------
% 1.29/0.60  % (5452)------------------------------
% 1.29/0.60  % (5467)First to succeed.
% 1.29/0.62  % (5461)Instruction limit reached!
% 1.29/0.62  % (5461)------------------------------
% 1.29/0.62  % (5461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (5461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (5461)Termination reason: Unknown
% 1.29/0.62  % (5461)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (5461)Memory used [KB]: 7419
% 1.29/0.62  % (5461)Time elapsed: 0.184 s
% 1.29/0.62  % (5461)Instructions burned: 51 (million)
% 1.29/0.62  % (5461)------------------------------
% 1.29/0.62  % (5461)------------------------------
% 1.29/0.62  % (5451)Instruction limit reached!
% 1.29/0.62  % (5451)------------------------------
% 1.29/0.62  % (5451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (5451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (5451)Termination reason: Unknown
% 1.29/0.62  % (5451)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (5451)Memory used [KB]: 7291
% 1.29/0.62  % (5451)Time elapsed: 0.159 s
% 1.29/0.62  % (5451)Instructions burned: 39 (million)
% 1.29/0.62  % (5451)------------------------------
% 1.29/0.62  % (5451)------------------------------
% 1.29/0.62  % (5457)Instruction limit reached!
% 1.29/0.62  % (5457)------------------------------
% 1.29/0.62  % (5457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (5457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (5457)Termination reason: Unknown
% 1.29/0.62  % (5457)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (5457)Memory used [KB]: 1918
% 1.29/0.62  % (5457)Time elapsed: 0.175 s
% 1.29/0.62  % (5457)Instructions burned: 16 (million)
% 1.29/0.62  % (5457)------------------------------
% 1.29/0.62  % (5457)------------------------------
% 1.29/0.62  % (5465)Instruction limit reached!
% 1.29/0.62  % (5465)------------------------------
% 1.29/0.62  % (5465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (5465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (5465)Termination reason: Unknown
% 1.29/0.62  % (5465)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (5465)Memory used [KB]: 7036
% 1.29/0.62  % (5465)Time elapsed: 0.185 s
% 1.29/0.62  % (5465)Instructions burned: 30 (million)
% 1.29/0.62  % (5465)------------------------------
% 1.29/0.62  % (5465)------------------------------
% 1.29/0.62  % (5467)Refutation found. Thanks to Tanya!
% 1.29/0.62  % SZS status Theorem for theBenchmark
% 1.29/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.63  % (5467)------------------------------
% 1.29/0.63  % (5467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.63  % (5467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.63  % (5467)Termination reason: Refutation
% 1.29/0.63  
% 1.29/0.63  % (5467)Memory used [KB]: 8315
% 1.29/0.63  % (5467)Time elapsed: 0.167 s
% 1.29/0.63  % (5467)Instructions burned: 40 (million)
% 1.29/0.63  % (5467)------------------------------
% 1.29/0.63  % (5467)------------------------------
% 1.29/0.63  % (5444)Success in time 0.249 s
%------------------------------------------------------------------------------