TSTP Solution File: SYN454+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN454+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 : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:26:52 EDT 2022

% Result   : Theorem 2.39s 0.71s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  520 (   1 unt;   0 def)
%            Number of atoms       : 5726 (   0 equ)
%            Maximal formula atoms :  576 (  11 avg)
%            Number of connectives : 7741 (2535   ~;3497   |;1253   &)
%                                         ( 124 <=>; 332  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  720 ( 720   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2638,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f270,f279,f288,f302,f311,f320,f329,f336,f345,f363,f367,f382,f387,f396,f405,f418,f423,f430,f464,f473,f478,f480,f494,f501,f510,f511,f521,f531,f536,f541,f551,f552,f557,f562,f573,f580,f597,f602,f608,f618,f628,f631,f635,f637,f642,f645,f657,f662,f669,f671,f682,f687,f692,f693,f700,f717,f722,f727,f737,f747,f758,f769,f789,f794,f795,f802,f819,f825,f838,f845,f857,f858,f860,f865,f866,f871,f876,f881,f886,f891,f897,f902,f908,f914,f924,f925,f926,f927,f941,f946,f951,f955,f958,f964,f969,f970,f1001,f1002,f1064,f1358,f1370,f1431,f1469,f1501,f1504,f1516,f1633,f1670,f1686,f1730,f1733,f1763,f1833,f1857,f1858,f1866,f1906,f1982,f2018,f2024,f2044,f2050,f2158,f2184,f2186,f2208,f2246,f2277,f2310,f2321,f2322,f2333,f2359,f2364,f2387,f2406,f2421,f2444,f2445,f2464,f2472,f2499,f2513,f2514,f2549,f2551,f2562,f2567,f2587,f2588,f2613,f2627,f2636]) ).

fof(f2636,plain,
    ( spl0_133
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2635,f1373,f374,f356,f854]) ).

fof(f854,plain,
    ( spl0_133
  <=> c0_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f356,plain,
    ( spl0_33
  <=> c1_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f374,plain,
    ( spl0_37
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c1_1(X56)
        | ~ c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1373,plain,
    ( spl0_172
  <=> c2_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2635,plain,
    ( ~ c1_1(a116)
    | c0_1(a116)
    | ~ spl0_37
    | ~ spl0_172 ),
    inference(resolution,[],[f1374,f375]) ).

fof(f375,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f1374,plain,
    ( c2_1(a116)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f2627,plain,
    ( spl0_148
    | ~ spl0_153
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2625,f411,f374,f974,f938]) ).

fof(f938,plain,
    ( spl0_148
  <=> c0_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f974,plain,
    ( spl0_153
  <=> c1_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f411,plain,
    ( spl0_46
  <=> c2_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2625,plain,
    ( ~ c1_1(a110)
    | c0_1(a110)
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(resolution,[],[f413,f375]) ).

fof(f413,plain,
    ( c2_1(a110)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f2613,plain,
    ( spl0_148
    | ~ spl0_46
    | ~ spl0_93
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2604,f689,f633,f411,f938]) ).

fof(f633,plain,
    ( spl0_93
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c3_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f689,plain,
    ( spl0_103
  <=> c3_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2604,plain,
    ( ~ c2_1(a110)
    | c0_1(a110)
    | ~ spl0_93
    | ~ spl0_103 ),
    inference(resolution,[],[f634,f691]) ).

fof(f691,plain,
    ( c3_1(a110)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f634,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c2_1(X45)
        | c0_1(X45) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f2588,plain,
    ( ~ spl0_33
    | spl0_172
    | ~ spl0_72
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2578,f822,f529,f1373,f356]) ).

fof(f529,plain,
    ( spl0_72
  <=> ! [X78] :
        ( ~ c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f822,plain,
    ( spl0_127
  <=> c3_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2578,plain,
    ( c2_1(a116)
    | ~ c1_1(a116)
    | ~ spl0_72
    | ~ spl0_127 ),
    inference(resolution,[],[f530,f824]) ).

fof(f824,plain,
    ( c3_1(a116)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f530,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | ~ c1_1(X78)
        | c2_1(X78) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f2587,plain,
    ( ~ spl0_168
    | spl0_142
    | ~ spl0_72
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2579,f724,f529,f905,f1176]) ).

fof(f1176,plain,
    ( spl0_168
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f905,plain,
    ( spl0_142
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f724,plain,
    ( spl0_109
  <=> c3_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2579,plain,
    ( c2_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_72
    | ~ spl0_109 ),
    inference(resolution,[],[f530,f726]) ).

fof(f726,plain,
    ( c3_1(a133)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f2567,plain,
    ( spl0_63
    | spl0_97
    | ~ spl0_58
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2534,f943,f462,f659,f487]) ).

fof(f487,plain,
    ( spl0_63
  <=> c1_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f659,plain,
    ( spl0_97
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f462,plain,
    ( spl0_58
  <=> ! [X26] :
        ( c3_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f943,plain,
    ( spl0_149
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2534,plain,
    ( c3_1(a103)
    | c1_1(a103)
    | ~ spl0_58
    | ~ spl0_149 ),
    inference(resolution,[],[f463,f945]) ).

fof(f945,plain,
    ( c0_1(a103)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f463,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26)
        | c1_1(X26) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f2562,plain,
    ( spl0_44
    | spl0_122
    | ~ spl0_58
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2531,f1028,f462,f791,f402]) ).

fof(f402,plain,
    ( spl0_44
  <=> c3_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f791,plain,
    ( spl0_122
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1028,plain,
    ( spl0_159
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2531,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | ~ spl0_58
    | ~ spl0_159 ),
    inference(resolution,[],[f463,f1030]) ).

fof(f1030,plain,
    ( c0_1(a99)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f2551,plain,
    ( spl0_86
    | spl0_173
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2539,f873,f462,f1403,f594]) ).

fof(f594,plain,
    ( spl0_86
  <=> c3_1(a115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1403,plain,
    ( spl0_173
  <=> c1_1(a115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f873,plain,
    ( spl0_136
  <=> c0_1(a115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2539,plain,
    ( c1_1(a115)
    | c3_1(a115)
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f463,f875]) ).

fof(f875,plain,
    ( c0_1(a115)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f2549,plain,
    ( spl0_156
    | spl0_111
    | ~ spl0_15
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2535,f462,f276,f734,f993]) ).

fof(f993,plain,
    ( spl0_156
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f734,plain,
    ( spl0_111
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f276,plain,
    ( spl0_15
  <=> c0_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2535,plain,
    ( c1_1(a105)
    | c3_1(a105)
    | ~ spl0_15
    | ~ spl0_58 ),
    inference(resolution,[],[f463,f278]) ).

fof(f278,plain,
    ( c0_1(a105)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f2514,plain,
    ( ~ spl0_134
    | ~ spl0_48
    | ~ spl0_52
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2485,f1336,f437,f420,f862]) ).

fof(f862,plain,
    ( spl0_134
  <=> c1_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f420,plain,
    ( spl0_48
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f437,plain,
    ( spl0_52
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | ~ c1_1(X76)
        | ~ c3_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1336,plain,
    ( spl0_171
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2485,plain,
    ( ~ c3_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_52
    | ~ spl0_171 ),
    inference(resolution,[],[f438,f1338]) ).

fof(f1338,plain,
    ( c0_1(a106)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f438,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2513,plain,
    ( ~ spl0_168
    | ~ spl0_109
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2492,f883,f437,f724,f1176]) ).

fof(f883,plain,
    ( spl0_138
  <=> c0_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2492,plain,
    ( ~ c3_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(resolution,[],[f438,f885]) ).

fof(f885,plain,
    ( c0_1(a133)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f2499,plain,
    ( ~ spl0_96
    | ~ spl0_104
    | ~ spl0_52
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2497,f1072,f437,f697,f654]) ).

fof(f654,plain,
    ( spl0_96
  <=> c3_1(a165) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f697,plain,
    ( spl0_104
  <=> c1_1(a165) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1072,plain,
    ( spl0_162
  <=> c0_1(a165) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2497,plain,
    ( ~ c1_1(a165)
    | ~ c3_1(a165)
    | ~ spl0_52
    | ~ spl0_162 ),
    inference(resolution,[],[f438,f1074]) ).

fof(f1074,plain,
    ( c0_1(a165)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f2472,plain,
    ( spl0_69
    | spl0_157
    | ~ spl0_50
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2457,f766,f428,f1013,f518]) ).

fof(f518,plain,
    ( spl0_69
  <=> c3_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1013,plain,
    ( spl0_157
  <=> c1_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f428,plain,
    ( spl0_50
  <=> ! [X32] :
        ( ~ c2_1(X32)
        | c3_1(X32)
        | c1_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f766,plain,
    ( spl0_117
  <=> c2_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2457,plain,
    ( c1_1(a109)
    | c3_1(a109)
    | ~ spl0_50
    | ~ spl0_117 ),
    inference(resolution,[],[f429,f768]) ).

fof(f768,plain,
    ( c2_1(a109)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f429,plain,
    ( ! [X32] :
        ( ~ c2_1(X32)
        | c3_1(X32)
        | c1_1(X32) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f2464,plain,
    ( spl0_44
    | spl0_122
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2453,f548,f428,f791,f402]) ).

fof(f548,plain,
    ( spl0_76
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2453,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(resolution,[],[f429,f550]) ).

fof(f550,plain,
    ( c2_1(a99)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f2445,plain,
    ( spl0_73
    | spl0_121
    | ~ spl0_45
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2423,f816,f407,f786,f533]) ).

fof(f533,plain,
    ( spl0_73
  <=> c2_1(a96) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f786,plain,
    ( spl0_121
  <=> c1_1(a96) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f407,plain,
    ( spl0_45
  <=> ! [X64] :
        ( c1_1(X64)
        | c3_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f816,plain,
    ( spl0_126
  <=> c3_1(a96) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2423,plain,
    ( c1_1(a96)
    | c2_1(a96)
    | ~ spl0_45
    | spl0_126 ),
    inference(resolution,[],[f408,f818]) ).

fof(f818,plain,
    ( ~ c3_1(a96)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f408,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c2_1(X64)
        | c1_1(X64) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2444,plain,
    ( spl0_30
    | spl0_161
    | ~ spl0_45
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2427,f878,f407,f1058,f342]) ).

fof(f342,plain,
    ( spl0_30
  <=> c2_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1058,plain,
    ( spl0_161
  <=> c1_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f878,plain,
    ( spl0_137
  <=> c3_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2427,plain,
    ( c1_1(a104)
    | c2_1(a104)
    | ~ spl0_45
    | spl0_137 ),
    inference(resolution,[],[f408,f880]) ).

fof(f880,plain,
    ( ~ c3_1(a104)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f2421,plain,
    ( spl0_135
    | ~ spl0_134
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2420,f1336,f621,f862,f868]) ).

fof(f868,plain,
    ( spl0_135
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f621,plain,
    ( spl0_91
  <=> ! [X21] :
        ( ~ c0_1(X21)
        | c2_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2420,plain,
    ( ~ c1_1(a106)
    | c2_1(a106)
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(resolution,[],[f1338,f622]) ).

fof(f622,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | ~ c1_1(X21)
        | c2_1(X21) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f2406,plain,
    ( ~ spl0_102
    | spl0_139
    | ~ spl0_28
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2405,f988,f334,f888,f684]) ).

fof(f684,plain,
    ( spl0_102
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f888,plain,
    ( spl0_139
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f334,plain,
    ( spl0_28
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f988,plain,
    ( spl0_155
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2405,plain,
    ( c3_1(a125)
    | ~ c1_1(a125)
    | ~ spl0_28
    | ~ spl0_155 ),
    inference(resolution,[],[f989,f335]) ).

fof(f335,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c1_1(X4)
        | c3_1(X4) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f989,plain,
    ( c2_1(a125)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f2387,plain,
    ( ~ spl0_107
    | ~ spl0_21
    | ~ spl0_116
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2380,f1128,f762,f304,f714]) ).

fof(f714,plain,
    ( spl0_107
  <=> c2_1(a94) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f304,plain,
    ( spl0_21
  <=> c1_1(a94) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f762,plain,
    ( spl0_116
  <=> ! [X57] :
        ( ~ c3_1(X57)
        | ~ c2_1(X57)
        | ~ c1_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1128,plain,
    ( spl0_163
  <=> c3_1(a94) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2380,plain,
    ( ~ c1_1(a94)
    | ~ c2_1(a94)
    | ~ spl0_116
    | ~ spl0_163 ),
    inference(resolution,[],[f763,f1129]) ).

fof(f1129,plain,
    ( c3_1(a94)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f763,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | ~ c2_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f2364,plain,
    ( spl0_142
    | spl0_168
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2350,f724,f526,f1176,f905]) ).

fof(f526,plain,
    ( spl0_71
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c3_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2350,plain,
    ( c1_1(a133)
    | c2_1(a133)
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(resolution,[],[f527,f726]) ).

fof(f527,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c1_1(X80)
        | c2_1(X80) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f2359,plain,
    ( spl0_130
    | spl0_101
    | ~ spl0_40
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2343,f526,f384,f679,f835]) ).

fof(f835,plain,
    ( spl0_130
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f679,plain,
    ( spl0_101
  <=> c2_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f384,plain,
    ( spl0_40
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2343,plain,
    ( c2_1(a101)
    | c1_1(a101)
    | ~ spl0_40
    | ~ spl0_71 ),
    inference(resolution,[],[f527,f386]) ).

fof(f386,plain,
    ( c3_1(a101)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f2333,plain,
    ( spl0_163
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2331,f714,f334,f304,f1128]) ).

fof(f2331,plain,
    ( ~ c1_1(a94)
    | c3_1(a94)
    | ~ spl0_28
    | ~ spl0_107 ),
    inference(resolution,[],[f716,f335]) ).

fof(f716,plain,
    ( c2_1(a94)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f2322,plain,
    ( spl0_171
    | ~ spl0_134
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2320,f420,f380,f862,f1336]) ).

fof(f380,plain,
    ( spl0_39
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | ~ c3_1(X55)
        | c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2320,plain,
    ( ~ c1_1(a106)
    | c0_1(a106)
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(resolution,[],[f422,f381]) ).

fof(f381,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f422,plain,
    ( c3_1(a106)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f2321,plain,
    ( spl0_135
    | spl0_171
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2319,f440,f420,f1336,f868]) ).

fof(f440,plain,
    ( spl0_53
  <=> ! [X75] :
        ( c2_1(X75)
        | ~ c3_1(X75)
        | c0_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2319,plain,
    ( c0_1(a106)
    | c2_1(a106)
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(resolution,[],[f422,f441]) ).

fof(f441,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c2_1(X75)
        | c0_1(X75) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f2310,plain,
    ( spl0_142
    | ~ spl0_109
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2297,f883,f667,f724,f905]) ).

fof(f667,plain,
    ( spl0_99
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | ~ c0_1(X59)
        | c2_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2297,plain,
    ( ~ c3_1(a133)
    | c2_1(a133)
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(resolution,[],[f668,f885]) ).

fof(f668,plain,
    ( ! [X59] :
        ( ~ c0_1(X59)
        | ~ c3_1(X59)
        | c2_1(X59) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f2277,plain,
    ( ~ spl0_107
    | ~ spl0_21
    | ~ spl0_90
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2268,f664,f615,f304,f714]) ).

fof(f615,plain,
    ( spl0_90
  <=> c0_1(a94) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f664,plain,
    ( spl0_98
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | ~ c1_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2268,plain,
    ( ~ c1_1(a94)
    | ~ c2_1(a94)
    | ~ spl0_90
    | ~ spl0_98 ),
    inference(resolution,[],[f665,f617]) ).

fof(f617,plain,
    ( c0_1(a94)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f665,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | ~ c1_1(X58)
        | ~ c2_1(X58) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f2246,plain,
    ( spl0_59
    | spl0_94
    | ~ spl0_53
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2235,f625,f440,f639,f466]) ).

fof(f466,plain,
    ( spl0_59
  <=> c2_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f639,plain,
    ( spl0_94
  <=> c0_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f625,plain,
    ( spl0_92
  <=> c3_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2235,plain,
    ( c0_1(a145)
    | c2_1(a145)
    | ~ spl0_53
    | ~ spl0_92 ),
    inference(resolution,[],[f441,f627]) ).

fof(f627,plain,
    ( c3_1(a145)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2208,plain,
    ( ~ spl0_141
    | spl0_162
    | ~ spl0_93
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2207,f654,f633,f1072,f899]) ).

fof(f899,plain,
    ( spl0_141
  <=> c2_1(a165) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2207,plain,
    ( c0_1(a165)
    | ~ c2_1(a165)
    | ~ spl0_93
    | ~ spl0_96 ),
    inference(resolution,[],[f634,f656]) ).

fof(f656,plain,
    ( c3_1(a165)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f2186,plain,
    ( spl0_142
    | ~ spl0_168
    | ~ spl0_91
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2172,f883,f621,f1176,f905]) ).

fof(f2172,plain,
    ( ~ c1_1(a133)
    | c2_1(a133)
    | ~ spl0_91
    | ~ spl0_138 ),
    inference(resolution,[],[f622,f885]) ).

fof(f2184,plain,
    ( spl0_115
    | ~ spl0_173
    | ~ spl0_91
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2169,f873,f621,f1403,f755]) ).

fof(f755,plain,
    ( spl0_115
  <=> c2_1(a115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2169,plain,
    ( ~ c1_1(a115)
    | c2_1(a115)
    | ~ spl0_91
    | ~ spl0_136 ),
    inference(resolution,[],[f622,f875]) ).

fof(f2158,plain,
    ( spl0_171
    | spl0_135
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2150,f862,f575,f868,f1336]) ).

fof(f575,plain,
    ( spl0_81
  <=> ! [X17] :
        ( c2_1(X17)
        | c0_1(X17)
        | ~ c1_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2150,plain,
    ( c2_1(a106)
    | c0_1(a106)
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(resolution,[],[f576,f864]) ).

fof(f864,plain,
    ( c1_1(a106)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f576,plain,
    ( ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c0_1(X17) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f2050,plain,
    ( spl0_20
    | spl0_69
    | ~ spl0_38
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2037,f766,f377,f518,f299]) ).

fof(f299,plain,
    ( spl0_20
  <=> c0_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f377,plain,
    ( spl0_38
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c3_1(X54)
        | c0_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2037,plain,
    ( c3_1(a109)
    | c0_1(a109)
    | ~ spl0_38
    | ~ spl0_117 ),
    inference(resolution,[],[f378,f768]) ).

fof(f378,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2044,plain,
    ( spl0_44
    | spl0_159
    | ~ spl0_38
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2032,f548,f377,f1028,f402]) ).

fof(f2032,plain,
    ( c0_1(a99)
    | c3_1(a99)
    | ~ spl0_38
    | ~ spl0_76 ),
    inference(resolution,[],[f378,f550]) ).

fof(f2024,plain,
    ( ~ spl0_140
    | spl0_145
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1999,f1311,f374,f921,f894]) ).

fof(f894,plain,
    ( spl0_140
  <=> c1_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f921,plain,
    ( spl0_145
  <=> c0_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1311,plain,
    ( spl0_170
  <=> c2_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1999,plain,
    ( c0_1(a98)
    | ~ c1_1(a98)
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(resolution,[],[f375,f1313]) ).

fof(f1313,plain,
    ( c2_1(a98)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1311]) ).

fof(f2018,plain,
    ( spl0_20
    | ~ spl0_157
    | ~ spl0_37
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2005,f766,f374,f1013,f299]) ).

fof(f2005,plain,
    ( ~ c1_1(a109)
    | c0_1(a109)
    | ~ spl0_37
    | ~ spl0_117 ),
    inference(resolution,[],[f375,f768]) ).

fof(f1982,plain,
    ( ~ spl0_154
    | ~ spl0_108
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1980,f507,f327,f719,f983]) ).

fof(f983,plain,
    ( spl0_154
  <=> c2_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f719,plain,
    ( spl0_108
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f327,plain,
    ( spl0_26
  <=> ! [X52] :
        ( ~ c2_1(X52)
        | ~ c3_1(X52)
        | ~ c0_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f507,plain,
    ( spl0_67
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1980,plain,
    ( ~ c3_1(a112)
    | ~ c2_1(a112)
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(resolution,[],[f509,f328]) ).

fof(f328,plain,
    ( ! [X52] :
        ( ~ c0_1(X52)
        | ~ c2_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f509,plain,
    ( c0_1(a112)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1906,plain,
    ( ~ spl0_156
    | ~ spl0_65
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1904,f327,f276,f498,f993]) ).

fof(f498,plain,
    ( spl0_65
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1904,plain,
    ( ~ c2_1(a105)
    | ~ c3_1(a105)
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(resolution,[],[f278,f328]) ).

fof(f1866,plain,
    ( ~ spl0_46
    | spl0_153
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1864,f689,f264,f974,f411]) ).

fof(f264,plain,
    ( spl0_12
  <=> ! [X61] :
        ( c1_1(X61)
        | ~ c2_1(X61)
        | ~ c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1864,plain,
    ( c1_1(a110)
    | ~ c2_1(a110)
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(resolution,[],[f691,f265]) ).

fof(f265,plain,
    ( ! [X61] :
        ( ~ c3_1(X61)
        | c1_1(X61)
        | ~ c2_1(X61) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1858,plain,
    ( spl0_30
    | spl0_137
    | spl0_80
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1841,f578,f570,f878,f342]) ).

fof(f570,plain,
    ( spl0_80
  <=> c0_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f578,plain,
    ( spl0_82
  <=> ! [X16] :
        ( c3_1(X16)
        | c2_1(X16)
        | c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1841,plain,
    ( c3_1(a104)
    | c2_1(a104)
    | spl0_80
    | ~ spl0_82 ),
    inference(resolution,[],[f579,f572]) ).

fof(f572,plain,
    ( ~ c0_1(a104)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f579,plain,
    ( ! [X16] :
        ( c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1857,plain,
    ( spl0_170
    | spl0_152
    | ~ spl0_82
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1839,f921,f578,f966,f1311]) ).

fof(f966,plain,
    ( spl0_152
  <=> c3_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1839,plain,
    ( c3_1(a98)
    | c2_1(a98)
    | ~ spl0_82
    | spl0_145 ),
    inference(resolution,[],[f579,f923]) ).

fof(f923,plain,
    ( ~ c0_1(a98)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1833,plain,
    ( spl0_168
    | spl0_142
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1822,f883,f523,f905,f1176]) ).

fof(f523,plain,
    ( spl0_70
  <=> ! [X79] :
        ( ~ c0_1(X79)
        | c2_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1822,plain,
    ( c2_1(a133)
    | c1_1(a133)
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(resolution,[],[f524,f885]) ).

fof(f524,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c2_1(X79)
        | c1_1(X79) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1763,plain,
    ( ~ spl0_163
    | ~ spl0_107
    | ~ spl0_26
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1761,f615,f327,f714,f1128]) ).

fof(f1761,plain,
    ( ~ c2_1(a94)
    | ~ c3_1(a94)
    | ~ spl0_26
    | ~ spl0_90 ),
    inference(resolution,[],[f617,f328]) ).

fof(f1733,plain,
    ( spl0_115
    | spl0_86
    | ~ spl0_84
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1720,f873,f585,f594,f755]) ).

fof(f585,plain,
    ( spl0_84
  <=> ! [X81] :
        ( ~ c0_1(X81)
        | c2_1(X81)
        | c3_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1720,plain,
    ( c3_1(a115)
    | c2_1(a115)
    | ~ spl0_84
    | ~ spl0_136 ),
    inference(resolution,[],[f586,f875]) ).

fof(f586,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c3_1(X81)
        | c2_1(X81) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1730,plain,
    ( spl0_139
    | spl0_155
    | ~ spl0_84
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1721,f599,f585,f988,f888]) ).

fof(f599,plain,
    ( spl0_87
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1721,plain,
    ( c2_1(a125)
    | c3_1(a125)
    | ~ spl0_84
    | ~ spl0_87 ),
    inference(resolution,[],[f586,f601]) ).

fof(f601,plain,
    ( c0_1(a125)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1686,plain,
    ( spl0_49
    | ~ spl0_45
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1682,f440,f407,f425]) ).

fof(f425,plain,
    ( spl0_49
  <=> ! [X31] :
        ( c1_1(X31)
        | c2_1(X31)
        | c0_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_45
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1677]) ).

fof(f1677,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_53 ),
    inference(resolution,[],[f441,f408]) ).

fof(f1670,plain,
    ( ~ spl0_33
    | spl0_133
    | ~ spl0_39
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1663,f822,f380,f854,f356]) ).

fof(f1663,plain,
    ( c0_1(a116)
    | ~ c1_1(a116)
    | ~ spl0_39
    | ~ spl0_127 ),
    inference(resolution,[],[f381,f824]) ).

fof(f1633,plain,
    ( spl0_61
    | ~ spl0_1
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1626,f948,f334,f215,f475]) ).

fof(f475,plain,
    ( spl0_61
  <=> c3_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f215,plain,
    ( spl0_1
  <=> c1_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f948,plain,
    ( spl0_150
  <=> c2_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1626,plain,
    ( ~ c1_1(a102)
    | c3_1(a102)
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(resolution,[],[f950,f335]) ).

fof(f950,plain,
    ( c2_1(a102)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f1516,plain,
    ( spl0_170
    | spl0_152
    | ~ spl0_27
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1486,f894,f331,f966,f1311]) ).

fof(f331,plain,
    ( spl0_27
  <=> ! [X5] :
        ( c2_1(X5)
        | ~ c1_1(X5)
        | c3_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1486,plain,
    ( c3_1(a98)
    | c2_1(a98)
    | ~ spl0_27
    | ~ spl0_140 ),
    inference(resolution,[],[f332,f896]) ).

fof(f896,plain,
    ( c1_1(a98)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f332,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | c3_1(X5) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1504,plain,
    ( spl0_17
    | spl0_131
    | ~ spl0_27
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1493,f559,f331,f842,f285]) ).

fof(f285,plain,
    ( spl0_17
  <=> c3_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f842,plain,
    ( spl0_131
  <=> c2_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f559,plain,
    ( spl0_78
  <=> c1_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1493,plain,
    ( c2_1(a118)
    | c3_1(a118)
    | ~ spl0_27
    | ~ spl0_78 ),
    inference(resolution,[],[f332,f561]) ).

fof(f561,plain,
    ( c1_1(a118)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1501,plain,
    ( spl0_137
    | spl0_30
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1488,f1058,f331,f342,f878]) ).

fof(f1488,plain,
    ( c2_1(a104)
    | c3_1(a104)
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(resolution,[],[f332,f1060]) ).

fof(f1060,plain,
    ( c1_1(a104)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1469,plain,
    ( spl0_130
    | ~ spl0_49
    | ~ spl0_70
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1456,f679,f523,f425,f835]) ).

fof(f1456,plain,
    ( c1_1(a101)
    | ~ spl0_49
    | ~ spl0_70
    | spl0_101 ),
    inference(resolution,[],[f1447,f681]) ).

fof(f681,plain,
    ( ~ c2_1(a101)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_49
    | ~ spl0_70 ),
    inference(duplicate_literal_removal,[],[f1441]) ).

fof(f1441,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c2_1(X0) )
    | ~ spl0_49
    | ~ spl0_70 ),
    inference(resolution,[],[f524,f426]) ).

fof(f426,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | c2_1(X31)
        | c1_1(X31) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1431,plain,
    ( ~ spl0_134
    | spl0_135
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1417,f529,f420,f868,f862]) ).

fof(f1417,plain,
    ( c2_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(resolution,[],[f530,f422]) ).

fof(f1370,plain,
    ( spl0_88
    | spl0_154
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1361,f523,f507,f983,f605]) ).

fof(f605,plain,
    ( spl0_88
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1361,plain,
    ( c2_1(a112)
    | c1_1(a112)
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(resolution,[],[f524,f509]) ).

fof(f1358,plain,
    ( spl0_45
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1352,f462,f425,f407]) ).

fof(f1352,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1346]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(resolution,[],[f463,f426]) ).

fof(f1064,plain,
    ( ~ spl0_113
    | spl0_24
    | ~ spl0_12
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1063,f554,f264,f317,f744]) ).

fof(f744,plain,
    ( spl0_113
  <=> c2_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f317,plain,
    ( spl0_24
  <=> c1_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f554,plain,
    ( spl0_77
  <=> c3_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1063,plain,
    ( c1_1(a97)
    | ~ c2_1(a97)
    | ~ spl0_12
    | ~ spl0_77 ),
    inference(resolution,[],[f556,f265]) ).

fof(f556,plain,
    ( c3_1(a97)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f1002,plain,
    ( ~ spl0_156
    | spl0_111
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f997,f365,f276,f734,f993]) ).

fof(f365,plain,
    ( spl0_35
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | ~ c0_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f997,plain,
    ( c1_1(a105)
    | ~ c3_1(a105)
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(resolution,[],[f366,f278]) ).

fof(f366,plain,
    ( ! [X63] :
        ( ~ c0_1(X63)
        | c1_1(X63)
        | ~ c3_1(X63) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1001,plain,
    ( ~ spl0_108
    | spl0_88
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f999,f507,f365,f605,f719]) ).

fof(f999,plain,
    ( c1_1(a112)
    | ~ c3_1(a112)
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(resolution,[],[f366,f509]) ).

fof(f970,plain,
    ( spl0_66
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_split_clause,[],[f183,f264,f237,f503]) ).

fof(f503,plain,
    ( spl0_66
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f237,plain,
    ( spl0_6
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f183,plain,
    ! [X3] :
      ( ~ c3_1(X3)
      | c1_1(X3)
      | ~ ndr1_0
      | hskp13
      | ~ c2_1(X3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp11
      | hskp24
      | hskp29 )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0
          | c0_1(X0) )
      | hskp4
      | hskp5 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c2_1(X1)
          | ~ c0_1(X1)
          | c3_1(X1) )
      | hskp20
      | hskp10 )
    & ( ! [X2] :
          ( c1_1(X2)
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | hskp17
      | hskp26 )
    & ( hskp13
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0
          | ~ c2_1(X4) )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp27
      | ! [X6] :
          ( c2_1(X6)
          | c1_1(X6)
          | ~ ndr1_0
          | c0_1(X6) )
      | hskp26 )
    & ( hskp3
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0
          | ~ c3_1(X7) )
      | ! [X8] :
          ( c3_1(X8)
          | c2_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0
        & ~ c3_1(a118) ) )
    & ( hskp15
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c0_1(X9)
          | ~ c3_1(X9)
          | c2_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c1_1(X10)
          | c2_1(X10)
          | ~ c0_1(X10) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11) )
      | hskp10
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0
          | ~ c0_1(X12) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & ~ c1_1(a112)
        & c3_1(a112) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ ndr1_0
          | ~ c1_1(X14)
          | c2_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c3_1(X15)
          | c2_1(X15) ) )
    & ( ( c1_1(a106)
        & ndr1_0
        & ~ c2_1(a106)
        & c3_1(a106) )
      | ~ hskp10 )
    & ( ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ ndr1_0
          | c2_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17) )
      | hskp6 )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ ndr1_0
          | c3_1(X18)
          | c1_1(X18) )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19) ) )
    & ( hskp6
      | hskp3
      | ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0
          | ~ c0_1(X20) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21) )
      | ! [X22] :
          ( c2_1(X22)
          | ~ ndr1_0
          | c1_1(X22)
          | ~ c3_1(X22) )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X24] :
          ( c3_1(X24)
          | ~ ndr1_0
          | c2_1(X24)
          | ~ c0_1(X24) )
      | hskp1 )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ ndr1_0
          | c1_1(X26)
          | c3_1(X26)
          | ~ c0_1(X26) )
      | hskp12 )
    & ( hskp10
      | hskp14
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | ~ c3_1(X27)
          | c1_1(X27) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & ~ c3_1(a102)
        & c2_1(a102) ) )
    & ( hskp14
      | hskp21
      | hskp16 )
    & ( ~ hskp25
      | ( ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0
        & ~ c2_1(a159) ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | ~ ndr1_0
          | c2_1(X28)
          | ~ c3_1(X28) )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0
          | c2_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c0_1(X30)
          | c3_1(X30) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c2_1(X31)
          | c0_1(X31)
          | c1_1(X31) )
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | c0_1(X33) ) )
    & ( hskp3
      | hskp14
      | hskp1 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a99)
        & c2_1(a99)
        & ~ c1_1(a99) ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & ndr1_0
        & c1_1(a165) )
      | ~ hskp29 )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ ndr1_0
          | ~ c2_1(X34)
          | c1_1(X34) )
      | hskp4
      | hskp6 )
    & ( ~ hskp7
      | ( ~ c1_1(a103)
        & ~ c3_1(a103)
        & c0_1(a103)
        & ndr1_0 ) )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( ~ hskp21
      | ( c3_1(a145)
        & ndr1_0
        & ~ c2_1(a145)
        & ~ c0_1(a145) ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c3_1(X35) )
      | hskp8
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0
          | c3_1(X36) ) )
    & ( hskp12
      | hskp14
      | hskp11 )
    & ( hskp26
      | hskp11
      | ! [X37] :
          ( ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0
          | ~ c1_1(X37) ) )
    & ( hskp3
      | hskp8
      | hskp20 )
    & ( hskp1
      | ! [X38] :
          ( c1_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | hskp1 )
    & ( ~ hskp1
      | ( ~ c1_1(a97)
        & ndr1_0
        & c3_1(a97)
        & c2_1(a97) ) )
    & ( ! [X41] :
          ( c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | hskp14
      | ! [X42] :
          ( c2_1(X42)
          | ~ ndr1_0
          | ~ c3_1(X42)
          | c1_1(X42) ) )
    & ( hskp24
      | hskp23
      | hskp16 )
    & ( hskp22
      | hskp17
      | hskp15 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43) )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c0_1(X45)
          | ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c3_1(X45) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46) )
      | hskp0
      | ! [X47] :
          ( c1_1(X47)
          | c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( ( ndr1_0
        & c2_1(a109)
        & ~ c3_1(a109)
        & ~ c0_1(a109) )
      | ~ hskp11 )
    & ( ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | c1_1(X49) )
      | hskp16 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c0_1(X50)
          | ~ c2_1(X50)
          | c3_1(X50) )
      | hskp10
      | ! [X51] :
          ( ~ ndr1_0
          | c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a96)
        & ndr1_0
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & ndr1_0
        & c0_1(a94) )
      | ~ hskp26 )
    & ( hskp1
      | hskp26
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ c3_1(X52) ) )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp12
      | hskp5
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c0_1(X53)
          | c2_1(X53)
          | c3_1(X53) ) )
    & ( ( c2_1(a100)
        & ~ c0_1(a100)
        & ndr1_0
        & ~ c1_1(a100) )
      | ~ hskp4 )
    & ( ( ~ c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | ~ ndr1_0
          | c0_1(X54)
          | c3_1(X54) )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0
          | c0_1(X55) )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp9
      | hskp22
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0
        & ~ c3_1(a115) ) )
    & ( ~ hskp23
      | ( c1_1(a152)
        & ndr1_0
        & ~ c2_1(a152)
        & c0_1(a152) ) )
    & ( ( c0_1(a105)
        & ndr1_0
        & c2_1(a105)
        & ~ c1_1(a105) )
      | ~ hskp9 )
    & ( ( c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c3_1(a149)
        & ndr1_0
        & ~ c1_1(a149)
        & ~ c0_1(a149) )
      | ~ hskp22 )
    & ( ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58) )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ ndr1_0
          | c2_1(X59)
          | ~ c0_1(X59) )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X61] :
          ( ~ c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0
          | ~ c2_1(X61) )
      | hskp18 )
    & ( hskp5
      | hskp19
      | ! [X62] :
          ( ~ c2_1(X62)
          | c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp16
      | hskp8 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0
          | c3_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c2_1(X65)
          | c3_1(X65)
          | ~ c1_1(X65) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( ~ hskp24
      | ( ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0
        & ~ c2_1(a153) ) )
    & ( ( c0_1(a127)
        & ndr1_0
        & ~ c3_1(a127)
        & c2_1(a127) )
      | ~ hskp19 )
    & ( ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0
          | c1_1(X67) )
      | hskp3
      | hskp13 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( ( c2_1(a95)
        & c3_1(a95)
        & ndr1_0
        & c0_1(a95) )
      | ~ hskp27 )
    & ( ! [X68] :
          ( c3_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68) )
      | hskp21
      | hskp12 )
    & ( ( c0_1(a142)
        & c3_1(a142)
        & ndr1_0
        & c1_1(a142) )
      | ~ hskp28 )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69) )
      | hskp28
      | hskp18 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ c1_1(X70) )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ ndr1_0
          | ~ c0_1(X71)
          | ~ c2_1(X71) )
      | hskp1 )
    & ( hskp12
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c0_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73) )
      | hskp7
      | ! [X74] :
          ( c0_1(X74)
          | c2_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X75] :
          ( c0_1(X75)
          | ~ c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( c1_1(a125)
        & ndr1_0
        & ~ c3_1(a125)
        & c0_1(a125) ) )
    & ( ~ hskp5
      | ( c3_1(a101)
        & ~ c1_1(a101)
        & ndr1_0
        & ~ c2_1(a101) ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ ndr1_0
          | c1_1(X77)
          | c0_1(X77) )
      | hskp3
      | hskp2 )
    & ( hskp9
      | hskp2
      | hskp14 )
    & ( ( c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ c1_1(X78) )
      | ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) )
      | ! [X80] :
          ( c2_1(X80)
          | ~ ndr1_0
          | c1_1(X80)
          | ~ c3_1(X80) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | c3_1(X82)
          | c0_1(X82)
          | ~ c1_1(X82) )
      | hskp9 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp11
      | hskp24
      | hskp29 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0
          | c0_1(X77) )
      | hskp4
      | hskp5 )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c2_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46) )
      | hskp20
      | hskp10 )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | hskp17
      | hskp26 )
    & ( hskp13
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c2_1(X18) )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp27
      | ! [X44] :
          ( c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0
          | c0_1(X44) )
      | hskp26 )
    & ( hskp3
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0
          | ~ c3_1(X38) )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0
        & ~ c3_1(a118) ) )
    & ( hskp15
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | c2_1(X61) )
      | ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62) ) )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c3_1(X69)
          | ~ c2_1(X69)
          | c1_1(X69) )
      | hskp10
      | ! [X68] :
          ( c3_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0
          | ~ c0_1(X68) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & ~ c1_1(a112)
        & c3_1(a112) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74) )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ ndr1_0
          | ~ c1_1(X76)
          | c2_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | c2_1(X75) ) )
    & ( ( c1_1(a106)
        & ndr1_0
        & ~ c2_1(a106)
        & c3_1(a106) )
      | ~ hskp10 )
    & ( ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ ndr1_0
          | c2_1(X33)
          | ~ c1_1(X33)
          | c0_1(X33) )
      | hskp6 )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | ~ ndr1_0
          | c3_1(X30)
          | c1_1(X30) )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0
          | ~ c2_1(X31) ) )
    & ( hskp6
      | hskp3
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0
          | ~ c0_1(X40) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | ~ c0_1(X8)
          | ~ c1_1(X8) )
      | ! [X9] :
          ( c2_1(X9)
          | ~ ndr1_0
          | c1_1(X9)
          | ~ c3_1(X9) )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X24] :
          ( c3_1(X24)
          | ~ ndr1_0
          | c2_1(X24)
          | ~ c0_1(X24) )
      | hskp1 )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63) )
      | hskp12 )
    & ( hskp10
      | hskp14
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | c1_1(X50) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & ~ c3_1(a102)
        & c2_1(a102) ) )
    & ( hskp14
      | hskp21
      | hskp16 )
    & ( ~ hskp25
      | ( ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0
        & ~ c2_1(a159) ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | ~ ndr1_0
          | c2_1(X14)
          | ~ c3_1(X14) )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0
          | c2_1(X15) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c0_1(X13)
          | c3_1(X13) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c2_1(X56)
          | c0_1(X56)
          | c1_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp3
      | hskp14
      | hskp1 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a99)
        & c2_1(a99)
        & ~ c1_1(a99) ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & ndr1_0
        & c1_1(a165) )
      | ~ hskp29 )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ ndr1_0
          | ~ c2_1(X23)
          | c1_1(X23) )
      | hskp4
      | hskp6 )
    & ( ~ hskp7
      | ( ~ c1_1(a103)
        & ~ c3_1(a103)
        & c0_1(a103)
        & ndr1_0 ) )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( ~ hskp21
      | ( c3_1(a145)
        & ndr1_0
        & ~ c2_1(a145)
        & ~ c0_1(a145) ) )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c3_1(X6) )
      | hskp8
      | ! [X5] :
          ( ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0
          | c3_1(X5) ) )
    & ( hskp12
      | hskp14
      | hskp11 )
    & ( hskp26
      | hskp11
      | ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0
          | ~ c1_1(X45) ) )
    & ( hskp3
      | hskp8
      | hskp20 )
    & ( hskp1
      | ! [X3] :
          ( c1_1(X3)
          | ~ c2_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47)
          | c1_1(X47) )
      | hskp1 )
    & ( ~ hskp1
      | ( ~ c1_1(a97)
        & ndr1_0
        & c3_1(a97)
        & c2_1(a97) ) )
    & ( ! [X17] :
          ( c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | hskp14
      | ! [X16] :
          ( c2_1(X16)
          | ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16) ) )
    & ( hskp24
      | hskp23
      | hskp16 )
    & ( hskp22
      | hskp17
      | hskp15 )
    & ( ! [X12] :
          ( c0_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c3_1(X10) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ c1_1(X21) )
      | hskp0
      | ! [X20] :
          ( c1_1(X20)
          | c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( ( ndr1_0
        & c2_1(a109)
        & ~ c3_1(a109)
        & ~ c0_1(a109) )
      | ~ hskp11 )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | ~ c3_1(X1)
          | c1_1(X1) )
      | hskp16 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | ~ c2_1(X26)
          | c3_1(X26) )
      | hskp10
      | ! [X27] :
          ( ~ ndr1_0
          | c1_1(X27)
          | c3_1(X27)
          | ~ c2_1(X27) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a96)
        & ndr1_0
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & ndr1_0
        & c0_1(a94) )
      | ~ hskp26 )
    & ( hskp1
      | hskp26
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48) ) )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp12
      | hskp5
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c0_1(X29)
          | c2_1(X29)
          | c3_1(X29) ) )
    & ( ( c2_1(a100)
        & ~ c0_1(a100)
        & ndr1_0
        & ~ c1_1(a100) )
      | ~ hskp4 )
    & ( ( ~ c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | ~ ndr1_0
          | c0_1(X54)
          | c3_1(X54) )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0
          | c0_1(X53) )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp9
      | hskp22
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0
        & ~ c3_1(a115) ) )
    & ( ~ hskp23
      | ( c1_1(a152)
        & ndr1_0
        & ~ c2_1(a152)
        & c0_1(a152) ) )
    & ( ( c0_1(a105)
        & ndr1_0
        & c2_1(a105)
        & ~ c1_1(a105) )
      | ~ hskp9 )
    & ( ( c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c3_1(a149)
        & ndr1_0
        & ~ c1_1(a149)
        & ~ c0_1(a149) )
      | ~ hskp22 )
    & ( ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58) )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ ndr1_0
          | c2_1(X59)
          | ~ c0_1(X59) )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X43] :
          ( ~ c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0
          | ~ c2_1(X43) )
      | hskp18 )
    & ( hskp5
      | hskp19
      | ! [X32] :
          ( ~ c2_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c1_1(X49)
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp16
      | hskp8 )
    & ( ! [X73] :
          ( c2_1(X73)
          | c1_1(X73)
          | ~ ndr1_0
          | c3_1(X73) )
      | ! [X71] :
          ( ~ ndr1_0
          | c2_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72) ) )
    & ( ~ hskp24
      | ( ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0
        & ~ c2_1(a153) ) )
    & ( ( c0_1(a127)
        & ndr1_0
        & ~ c3_1(a127)
        & c2_1(a127) )
      | ~ hskp19 )
    & ( ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0
          | c1_1(X25) )
      | hskp3
      | hskp13 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( ( c2_1(a95)
        & c3_1(a95)
        & ndr1_0
        & c0_1(a95) )
      | ~ hskp27 )
    & ( ! [X65] :
          ( c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65) )
      | hskp21
      | hskp12 )
    & ( ( c0_1(a142)
        & c3_1(a142)
        & ndr1_0
        & c1_1(a142) )
      | ~ hskp28 )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28) )
      | hskp28
      | hskp18 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ c1_1(X42) )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41)
          | ~ c2_1(X41) )
      | hskp1 )
    & ( hskp12
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c0_1(X80)
          | ~ c3_1(X80)
          | ~ c2_1(X80) )
      | hskp7
      | ! [X79] :
          ( c0_1(X79)
          | c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X81] :
          ( c0_1(X81)
          | ~ c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( c1_1(a125)
        & ndr1_0
        & ~ c3_1(a125)
        & c0_1(a125) ) )
    & ( ~ hskp5
      | ( c3_1(a101)
        & ~ c1_1(a101)
        & ndr1_0
        & ~ c2_1(a101) ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ ndr1_0
          | c1_1(X51)
          | c0_1(X51) )
      | hskp3
      | hskp2 )
    & ( hskp9
      | hskp2
      | hskp14 )
    & ( ( c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37) )
      | ! [X35] :
          ( c2_1(X35)
          | ~ ndr1_0
          | c1_1(X35)
          | ~ c3_1(X35) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c0_1(X67)
          | ~ c1_1(X67) )
      | hskp9 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp18
      | ! [X28] :
          ( c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | hskp11 )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & ~ c1_1(a112)
        & c3_1(a112) ) )
    & ( hskp11
      | hskp26
      | ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c1_1(a103)
        & ~ c3_1(a103)
        & c0_1(a103)
        & ndr1_0 ) )
    & ( ! [X3] :
          ( c1_1(X3)
          | c0_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c1_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | hskp7
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c0_1(a142)
        & c3_1(a142)
        & ndr1_0
        & c1_1(a142) )
      | ~ hskp28 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( hskp22
      | hskp17
      | hskp15 )
    & ( ! [X26] :
          ( ~ c2_1(X26)
          | c0_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | hskp10
      | ! [X27] :
          ( ~ c2_1(X27)
          | c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a100)
        & ~ c0_1(a100)
        & ndr1_0
        & ~ c1_1(a100) )
      | ~ hskp4 )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp8
      | hskp12 )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp3
      | ! [X25] :
          ( c2_1(X25)
          | c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp3
      | hskp6
      | ! [X40] :
          ( c2_1(X40)
          | ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c3_1(X54)
          | c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0
        & ~ c3_1(a118) ) )
    & ( hskp19
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ~ hskp23
      | ( c1_1(a152)
        & ndr1_0
        & ~ c2_1(a152)
        & c0_1(a152) ) )
    & ( hskp26
      | ! [X0] :
          ( ~ c2_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp27
      | hskp26
      | ! [X44] :
          ( c1_1(X44)
          | c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X1] :
          ( ~ c0_1(X1)
          | ~ c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a99)
        & c2_1(a99)
        & ~ c1_1(a99) ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & ndr1_0
        & c1_1(a165) )
      | ~ hskp29 )
    & ( ( ~ c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( hskp10
      | ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ( c1_1(a106)
        & ndr1_0
        & ~ c2_1(a106)
        & c3_1(a106) )
      | ~ hskp10 )
    & ( ~ hskp5
      | ( c3_1(a101)
        & ~ c1_1(a101)
        & ndr1_0
        & ~ c2_1(a101) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( hskp3
      | hskp14
      | hskp1 )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ! [X29] :
          ( c3_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | hskp12
      | hskp5 )
    & ( ! [X61] :
          ( c2_1(X61)
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | ! [X62] :
          ( c2_1(X62)
          | c1_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp14
      | hskp18
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp24
      | hskp29 )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( hskp9
      | hskp2
      | hskp14 )
    & ( ! [X11] :
          ( c3_1(X11)
          | c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( ! [X16] :
          ( c1_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ( c0_1(a127)
        & ndr1_0
        & ~ c3_1(a127)
        & c2_1(a127) )
      | ~ hskp19 )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp1
      | hskp26
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp8
      | ! [X81] :
          ( c0_1(X81)
          | ~ c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0
        & ~ c2_1(a153) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a97)
        & ndr1_0
        & c3_1(a97)
        & c2_1(a97) ) )
    & ( ! [X35] :
          ( c2_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | ~ c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | hskp21
      | hskp12 )
    & ( ~ hskp0
      | ( ~ c1_1(a96)
        & ndr1_0
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ~ hskp14
      | ( ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0
        & ~ c3_1(a115) ) )
    & ( ( ndr1_0
        & c2_1(a109)
        & ~ c3_1(a109)
        & ~ c0_1(a109) )
      | ~ hskp11 )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & ~ c3_1(a102)
        & c2_1(a102) ) )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & ndr1_0
        & c0_1(a94) )
      | ~ hskp26 )
    & ( hskp14
      | hskp21
      | hskp16 )
    & ( ( c0_1(a105)
        & ndr1_0
        & c2_1(a105)
        & ~ c1_1(a105) )
      | ~ hskp9 )
    & ( ! [X18] :
          ( ~ c2_1(X18)
          | c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp5
      | ! [X19] :
          ( c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c1_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp12
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c3_1(X67)
          | c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X9] :
          ( c1_1(X9)
          | c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c3_1(a149)
        & ndr1_0
        & ~ c1_1(a149)
        & ~ c0_1(a149) )
      | ~ hskp22 )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( hskp24
      | hskp23
      | hskp16 )
    & ( hskp3
      | hskp8
      | hskp20 )
    & ( ~ hskp25
      | ( ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0
        & ~ c2_1(a159) ) )
    & ( ~ hskp18
      | ( c1_1(a125)
        & ndr1_0
        & ~ c3_1(a125)
        & c0_1(a125) ) )
    & ( ~ hskp21
      | ( c3_1(a145)
        & ndr1_0
        & ~ c2_1(a145)
        & ~ c0_1(a145) ) )
    & ( hskp22
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X15] :
          ( c2_1(X15)
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c1_1(X49)
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp16
      | hskp8 )
    & ( hskp0
      | ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X77] :
          ( c0_1(X77)
          | ~ c3_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( c2_1(a95)
        & c3_1(a95)
        & ndr1_0
        & c0_1(a95) )
      | ~ hskp27 )
    & ( ! [X23] :
          ( c1_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp4
      | hskp6 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp18
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | ~ c2_1(X28)
            | ~ c1_1(X28) ) )
      | hskp28 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c3_1(X78)
            | ~ c2_1(X78) ) )
      | hskp13 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c3_1(X74)
            | ~ c1_1(X74) ) ) )
    & ( hskp12
      | hskp14
      | hskp11 )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & ~ c1_1(a112)
        & c3_1(a112) ) )
    & ( hskp11
      | hskp26
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c0_1(X45)
            | ~ c1_1(X45) ) ) )
    & ( ~ hskp7
      | ( ~ c1_1(a103)
        & ~ c3_1(a103)
        & c0_1(a103)
        & ndr1_0 ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | c0_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp1 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c1_1(X79)
            | c2_1(X79) ) )
      | hskp7
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c1_1(X69)
            | ~ c2_1(X69) ) ) )
    & ( ( c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c0_1(a142)
        & c3_1(a142)
        & ndr1_0
        & c1_1(a142) )
      | ~ hskp28 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c0_1(X51)
            | ~ c3_1(X51) ) )
      | hskp3
      | hskp2 )
    & ( hskp22
      | hskp17
      | hskp15 )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c0_1(X26)
            | c3_1(X26) ) )
      | hskp10
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c1_1(X27)
            | c3_1(X27) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | c3_1(X73) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c1_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) ) )
    & ( ( c2_1(a100)
        & ~ c0_1(a100)
        & ndr1_0
        & ~ c1_1(a100) )
      | ~ hskp4 )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp8
      | hskp12 )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp3
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c1_1(X25)
            | c3_1(X25) ) )
      | hskp13 )
    & ( hskp3
      | hskp6
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c0_1(X40)
            | ~ c1_1(X40) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c0_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0
        & ~ c3_1(a118) ) )
    & ( hskp19
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | hskp5 )
    & ( ~ hskp23
      | ( c1_1(a152)
        & ndr1_0
        & ~ c2_1(a152)
        & c0_1(a152) ) )
    & ( hskp26
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | c1_1(X0)
            | ~ c3_1(X0) ) )
      | hskp17 )
    & ( hskp27
      | hskp26
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c0_1(X44)
            | c2_1(X44) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp16
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | ~ c3_1(X1)
            | c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | ~ c0_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a99)
        & c2_1(a99)
        & ~ c1_1(a99) ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & ndr1_0
        & c1_1(a165) )
      | ~ hskp29 )
    & ( ( ~ c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( hskp10
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) )
      | hskp14 )
    & ( ( c1_1(a106)
        & ndr1_0
        & ~ c2_1(a106)
        & c3_1(a106) )
      | ~ hskp10 )
    & ( ~ hskp5
      | ( c3_1(a101)
        & ~ c1_1(a101)
        & ndr1_0
        & ~ c2_1(a101) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( hskp3
      | hskp14
      | hskp1 )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c0_1(X29)
            | c2_1(X29) ) )
      | hskp12
      | hskp5 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c3_1(X61)
            | ~ c0_1(X61) ) )
      | hskp15
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c1_1(X62)
            | ~ c0_1(X62) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c3_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp8 )
    & ( hskp14
      | hskp18
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp11
      | hskp24
      | hskp29 )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c0_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c3_1(X59)
            | c2_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) ) )
    & ( hskp20
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | hskp10 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | c3_1(X47) ) )
      | hskp1 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp1
      | hskp17 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | c3_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp3 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( hskp9
      | hskp2
      | hskp14 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | ~ c3_1(X12)
            | c2_1(X12) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | c2_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) )
      | hskp14 )
    & ( ( c0_1(a127)
        & ndr1_0
        & ~ c3_1(a127)
        & c2_1(a127) )
      | ~ hskp19 )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | c0_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp1 )
    & ( hskp1
      | hskp26
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp8
      | ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c3_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c3_1(X82)
            | ~ c0_1(X82) ) ) )
    & ( ~ hskp24
      | ( ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0
        & ~ c2_1(a153) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a97)
        & ndr1_0
        & c3_1(a97)
        & c2_1(a97) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c0_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c0_1(X34)
            | c3_1(X34) ) )
      | hskp6 )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | ~ c2_1(X65)
            | c3_1(X65) ) )
      | hskp21
      | hskp12 )
    & ( ~ hskp0
      | ( ~ c1_1(a96)
        & ndr1_0
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ~ hskp14
      | ( ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0
        & ~ c3_1(a115) ) )
    & ( ( ndr1_0
        & c2_1(a109)
        & ~ c3_1(a109)
        & ~ c0_1(a109) )
      | ~ hskp11 )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & ~ c3_1(a102)
        & c2_1(a102) ) )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & ndr1_0
        & c0_1(a94) )
      | ~ hskp26 )
    & ( hskp14
      | hskp21
      | hskp16 )
    & ( ( c0_1(a105)
        & ndr1_0
        & c2_1(a105)
        & ~ c1_1(a105) )
      | ~ hskp9 )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | c3_1(X18)
            | ~ c1_1(X18) ) )
      | hskp5
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c1_1(X63)
            | c3_1(X63) ) )
      | hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c3_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c0_1(X67)
            | ~ c1_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp9 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c2_1(X9)
            | ~ c3_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c2_1(X8)
            | ~ c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | ~ c1_1(X7) ) ) )
    & ( ( c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c3_1(a149)
        & ndr1_0
        & ~ c1_1(a149)
        & ~ c0_1(a149) )
      | ~ hskp22 )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( hskp24
      | hskp23
      | hskp16 )
    & ( hskp3
      | hskp8
      | hskp20 )
    & ( ~ hskp25
      | ( ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0
        & ~ c2_1(a159) ) )
    & ( ~ hskp18
      | ( c1_1(a125)
        & ndr1_0
        & ~ c3_1(a125)
        & c0_1(a125) ) )
    & ( ~ hskp21
      | ( c3_1(a145)
        & ndr1_0
        & ~ c2_1(a145)
        & ~ c0_1(a145) ) )
    & ( hskp22
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | ~ c2_1(X22) ) )
      | hskp9 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c3_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c0_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c1_1(X13)
            | c3_1(X13) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | ~ c0_1(X49)
            | ~ c3_1(X49) ) )
      | hskp16
      | hskp8 )
    & ( hskp0
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c2_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp5
      | ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | ~ c3_1(X77)
            | c1_1(X77) ) )
      | hskp4 )
    & ( ( c2_1(a95)
        & c3_1(a95)
        & ndr1_0
        & c0_1(a95) )
      | ~ hskp27 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) )
      | hskp4
      | hskp6 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp18
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | hskp28 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c3_1(X78)
                | ~ c2_1(X78) ) )
          | hskp13 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c3_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( hskp12
          | hskp14
          | hskp11 )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a112)
            & ~ c1_1(a112)
            & c3_1(a112) ) )
        & ( hskp11
          | hskp26
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c0_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ~ hskp7
          | ( ~ c1_1(a103)
            & ~ c3_1(a103)
            & c0_1(a103)
            & ndr1_0 ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c0_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp1 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) )
          | hskp7
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c1_1(X69)
                | ~ c2_1(X69) ) ) )
        & ( ( c1_1(a116)
            & c3_1(a116)
            & ~ c0_1(a116)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( c0_1(a142)
            & c3_1(a142)
            & ndr1_0
            & c1_1(a142) )
          | ~ hskp28 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c0_1(X51)
                | ~ c3_1(X51) ) )
          | hskp3
          | hskp2 )
        & ( hskp22
          | hskp17
          | hskp15 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c0_1(X26)
                | c3_1(X26) ) )
          | hskp10
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c3_1(X27) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c1_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ( c2_1(a100)
            & ~ c0_1(a100)
            & ndr1_0
            & ~ c1_1(a100) )
          | ~ hskp4 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp8
          | hskp12 )
        & ( hskp20
          | hskp29
          | hskp0 )
        & ( hskp3
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c1_1(X25)
                | c3_1(X25) ) )
          | hskp13 )
        & ( hskp3
          | hskp6
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c0_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c0_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a118)
            & c1_1(a118)
            & ndr1_0
            & ~ c3_1(a118) ) )
        & ( hskp19
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | hskp5 )
        & ( ~ hskp23
          | ( c1_1(a152)
            & ndr1_0
            & ~ c2_1(a152)
            & c0_1(a152) ) )
        & ( hskp26
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c1_1(X0)
                | ~ c3_1(X0) ) )
          | hskp17 )
        & ( hskp27
          | hskp26
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp16
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | ~ c3_1(X1)
                | c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c0_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c3_1(a99)
            & c2_1(a99)
            & ~ c1_1(a99) ) )
        & ( ( c3_1(a165)
            & c2_1(a165)
            & ndr1_0
            & c1_1(a165) )
          | ~ hskp29 )
        & ( ( ~ c2_1(a104)
            & ~ c0_1(a104)
            & ~ c3_1(a104)
            & ndr1_0 )
          | ~ hskp8 )
        & ( hskp10
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp14 )
        & ( ( c1_1(a106)
            & ndr1_0
            & ~ c2_1(a106)
            & c3_1(a106) )
          | ~ hskp10 )
        & ( ~ hskp5
          | ( c3_1(a101)
            & ~ c1_1(a101)
            & ndr1_0
            & ~ c2_1(a101) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a98)
            & ~ c0_1(a98)
            & ~ c3_1(a98) ) )
        & ( hskp3
          | hskp14
          | hskp1 )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a124)
            & ~ c1_1(a124)
            & ~ c3_1(a124) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | hskp12
          | hskp5 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c3_1(X61)
                | ~ c0_1(X61) ) )
          | hskp15
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c1_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c3_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp8 )
        & ( hskp14
          | hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp11
          | hskp24
          | hskp29 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c0_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( hskp20
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | hskp10 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | c3_1(X47) ) )
          | hskp1 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp1
          | hskp17 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp3 )
        & ( hskp17
          | hskp25
          | hskp18 )
        & ( hskp9
          | hskp2
          | hskp14 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c3_1(X12)
                | c2_1(X12) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( hskp22
          | hskp17
          | hskp6 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) )
          | hskp14 )
        & ( ( c0_1(a127)
            & ndr1_0
            & ~ c3_1(a127)
            & c2_1(a127) )
          | ~ hskp19 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c0_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp1 )
        & ( hskp1
          | hskp26
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ( ~ c0_1(a110)
            & c3_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp8
          | ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c3_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c3_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( ~ hskp24
          | ( ~ c0_1(a153)
            & c1_1(a153)
            & ndr1_0
            & ~ c2_1(a153) ) )
        & ( ~ hskp1
          | ( ~ c1_1(a97)
            & ndr1_0
            & c3_1(a97)
            & c2_1(a97) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c0_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c0_1(X34)
                | c3_1(X34) ) )
          | hskp6 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c2_1(X65)
                | c3_1(X65) ) )
          | hskp21
          | hskp12 )
        & ( ~ hskp0
          | ( ~ c1_1(a96)
            & ndr1_0
            & ~ c2_1(a96)
            & ~ c3_1(a96) ) )
        & ( ~ hskp14
          | ( ~ c2_1(a115)
            & c0_1(a115)
            & ndr1_0
            & ~ c3_1(a115) ) )
        & ( ( ndr1_0
            & c2_1(a109)
            & ~ c3_1(a109)
            & ~ c0_1(a109) )
          | ~ hskp11 )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a102)
            & ~ c3_1(a102)
            & c2_1(a102) ) )
        & ( ( c2_1(a94)
            & c1_1(a94)
            & ndr1_0
            & c0_1(a94) )
          | ~ hskp26 )
        & ( hskp14
          | hskp21
          | hskp16 )
        & ( ( c0_1(a105)
            & ndr1_0
            & c2_1(a105)
            & ~ c1_1(a105) )
          | ~ hskp9 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c3_1(X18)
                | ~ c1_1(X18) ) )
          | hskp5
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c1_1(X63)
                | c3_1(X63) ) )
          | hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c3_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c0_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp9 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c2_1(X9)
                | ~ c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | ~ c1_1(X7) ) ) )
        & ( ( c0_1(a133)
            & c3_1(a133)
            & ~ c2_1(a133)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( c3_1(a149)
            & ndr1_0
            & ~ c1_1(a149)
            & ~ c0_1(a149) )
          | ~ hskp22 )
        & ( hskp13
          | hskp19
          | hskp18 )
        & ( hskp24
          | hskp23
          | hskp16 )
        & ( hskp3
          | hskp8
          | hskp20 )
        & ( ~ hskp25
          | ( ~ c1_1(a159)
            & c0_1(a159)
            & ndr1_0
            & ~ c2_1(a159) ) )
        & ( ~ hskp18
          | ( c1_1(a125)
            & ndr1_0
            & ~ c3_1(a125)
            & c0_1(a125) ) )
        & ( ~ hskp21
          | ( c3_1(a145)
            & ndr1_0
            & ~ c2_1(a145)
            & ~ c0_1(a145) ) )
        & ( hskp22
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp9 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c3_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c0_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c1_1(X13)
                | c3_1(X13) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c0_1(X49)
                | ~ c3_1(X49) ) )
          | hskp16
          | hskp8 )
        & ( hskp0
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp5
          | ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c3_1(X77)
                | c1_1(X77) ) )
          | hskp4 )
        & ( ( c2_1(a95)
            & c3_1(a95)
            & ndr1_0
            & c0_1(a95) )
          | ~ hskp27 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp4
          | hskp6 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp26
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c3_1(X62)
                | ~ c2_1(X62) ) )
          | hskp17 )
        & ( ( ~ c2_1(a104)
            & ~ c0_1(a104)
            & ~ c3_1(a104)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c3_1(a149)
            & ndr1_0
            & ~ c1_1(a149)
            & ~ c0_1(a149) )
          | ~ hskp22 )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c3_1(a99)
            & c2_1(a99)
            & ~ c1_1(a99) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c3_1(X58)
                | c1_1(X58) ) )
          | hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | c3_1(X59) ) ) )
        & ( ( c1_1(a116)
            & c3_1(a116)
            & ~ c0_1(a116)
            & ndr1_0 )
          | ~ hskp15 )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c0_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c3_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp24
          | hskp23
          | hskp16 )
        & ( hskp8
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c3_1(X51)
                | c1_1(X51) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a112)
            & ~ c1_1(a112)
            & c3_1(a112) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c3_1(X14)
                | c2_1(X14) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c3_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( hskp11
          | hskp24
          | hskp29 )
        & ( hskp14
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | hskp5 )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( ~ hskp14
          | ( ~ c2_1(a115)
            & c0_1(a115)
            & ndr1_0
            & ~ c3_1(a115) ) )
        & ( hskp9
          | hskp22
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( hskp4
          | hskp6
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c1_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( hskp14
          | hskp21
          | hskp16 )
        & ( hskp17
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | hskp1 )
        & ( hskp3
          | hskp13
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c1_1(X42)
                | c2_1(X42) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c1_1(X31)
                | ~ c2_1(X31) ) )
          | hskp10 )
        & ( hskp3
          | hskp14
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c3_1(X78)
                | ~ c1_1(X78) ) )
          | hskp18
          | hskp28 )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a98)
            & ~ c0_1(a98)
            & ~ c3_1(a98) ) )
        & ( hskp13
          | hskp19
          | hskp18 )
        & ( hskp12
          | hskp5
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c3_1(X64)
                | c1_1(X64) ) )
          | hskp19
          | hskp5 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c0_1(X11)
                | c2_1(X11) ) )
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c2_1(X10)
                | c3_1(X10) ) ) )
        & ( ( c2_1(a94)
            & c1_1(a94)
            & ndr1_0
            & c0_1(a94) )
          | ~ hskp26 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c3_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c1_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( hskp3
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a102)
            & ~ c3_1(a102)
            & c2_1(a102) ) )
        & ( hskp3
          | hskp8
          | hskp20 )
        & ( hskp6
          | hskp3
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( ( c0_1(a142)
            & c3_1(a142)
            & ndr1_0
            & c1_1(a142) )
          | ~ hskp28 )
        & ( ( c2_1(a95)
            & c3_1(a95)
            & ndr1_0
            & c0_1(a95) )
          | ~ hskp27 )
        & ( hskp12
          | hskp14
          | hskp11 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp18
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp14 )
        & ( ( c0_1(a105)
            & ndr1_0
            & c2_1(a105)
            & ~ c1_1(a105) )
          | ~ hskp9 )
        & ( ~ hskp0
          | ( ~ c1_1(a96)
            & ndr1_0
            & ~ c2_1(a96)
            & ~ c3_1(a96) ) )
        & ( hskp26
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | hskp27 )
        & ( ( c1_1(a106)
            & ndr1_0
            & ~ c2_1(a106)
            & c3_1(a106) )
          | ~ hskp10 )
        & ( hskp17
          | hskp25
          | hskp18 )
        & ( ~ hskp7
          | ( ~ c1_1(a103)
            & ~ c3_1(a103)
            & c0_1(a103)
            & ndr1_0 ) )
        & ( hskp9
          | hskp2
          | hskp14 )
        & ( hskp11
          | hskp26
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ~ hskp18
          | ( c1_1(a125)
            & ndr1_0
            & ~ c3_1(a125)
            & c0_1(a125) ) )
        & ( ~ hskp21
          | ( c3_1(a145)
            & ndr1_0
            & ~ c2_1(a145)
            & ~ c0_1(a145) ) )
        & ( ~ hskp5
          | ( c3_1(a101)
            & ~ c1_1(a101)
            & ndr1_0
            & ~ c2_1(a101) ) )
        & ( hskp20
          | hskp10
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | hskp1 )
        & ( ~ hskp16
          | ( ~ c2_1(a118)
            & c1_1(a118)
            & ndr1_0
            & ~ c3_1(a118) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp1
          | hskp26 )
        & ( hskp16
          | hskp8
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c3_1(X61)
                | ~ c0_1(X61) ) ) )
        & ( hskp14
          | hskp10
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c3_1(X60)
                | c1_1(X60) ) ) )
        & ( ~ hskp24
          | ( ~ c0_1(a153)
            & c1_1(a153)
            & ndr1_0
            & ~ c2_1(a153) ) )
        & ( ~ hskp25
          | ( ~ c1_1(a159)
            & c0_1(a159)
            & ndr1_0
            & ~ c2_1(a159) ) )
        & ( hskp3
          | hskp2
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c3_1(X8)
                | c0_1(X8) ) ) )
        & ( ( c2_1(a100)
            & ~ c0_1(a100)
            & ndr1_0
            & ~ c1_1(a100) )
          | ~ hskp4 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c0_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c0_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c0_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp15
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c1_1(X49)
                | c2_1(X49) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c1_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp12 )
        & ( hskp22
          | hskp17
          | hskp6 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) )
          | hskp12
          | hskp21 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | hskp9
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) ) )
        & ( ( c3_1(a165)
            & c2_1(a165)
            & ndr1_0
            & c1_1(a165) )
          | ~ hskp29 )
        & ( hskp10
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c2_1(X56)
                | c1_1(X56) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | ~ c2_1(X82) ) )
          | hskp12 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c3_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c1_1(X28)
                | c3_1(X28) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c3_1(X9)
                | c0_1(X9) ) )
          | hskp4
          | hskp5 )
        & ( ( ndr1_0
            & c2_1(a109)
            & ~ c3_1(a109)
            & ~ c0_1(a109) )
          | ~ hskp11 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp13 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) )
          | hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) ) )
        & ( ( c0_1(a127)
            & ndr1_0
            & ~ c3_1(a127)
            & c2_1(a127) )
          | ~ hskp19 )
        & ( ( ~ c0_1(a110)
            & c3_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a124)
            & ~ c1_1(a124)
            & ~ c3_1(a124) ) )
        & ( hskp20
          | hskp29
          | hskp0 )
        & ( hskp8
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c3_1(X18)
                | ~ c1_1(X18) ) ) )
        & ( hskp22
          | hskp17
          | hskp15 )
        & ( ( c0_1(a133)
            & c3_1(a133)
            & ~ c2_1(a133)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp1
          | ( ~ c1_1(a97)
            & ndr1_0
            & c3_1(a97)
            & c2_1(a97) ) )
        & ( ~ hskp23
          | ( c1_1(a152)
            & ndr1_0
            & ~ c2_1(a152)
            & c0_1(a152) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp26
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c3_1(X62)
              | ~ c2_1(X62) ) )
        | hskp17 )
      & ( ( ~ c2_1(a104)
          & ~ c0_1(a104)
          & ~ c3_1(a104)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( c3_1(a149)
          & ndr1_0
          & ~ c1_1(a149)
          & ~ c0_1(a149) )
        | ~ hskp22 )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c3_1(a99)
          & c2_1(a99)
          & ~ c1_1(a99) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | ~ c3_1(X58)
              | c1_1(X58) ) )
        | hskp16
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c1_1(X59)
              | c3_1(X59) ) ) )
      & ( ( c1_1(a116)
          & c3_1(a116)
          & ~ c0_1(a116)
          & ndr1_0 )
        | ~ hskp15 )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c0_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c3_1(X7)
              | ~ c0_1(X7) ) ) )
      & ( hskp24
        | hskp23
        | hskp16 )
      & ( hskp8
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | ~ c3_1(X51)
              | c1_1(X51) ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a112)
          & ~ c1_1(a112)
          & c3_1(a112) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c0_1(X16)
              | c1_1(X16) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c3_1(X14)
              | c2_1(X14) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | ~ c3_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) ) )
      & ( hskp11
        | hskp24
        | hskp29 )
      & ( hskp14
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | hskp5 )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c0_1(X5) ) ) )
      & ( ~ hskp14
        | ( ~ c2_1(a115)
          & c0_1(a115)
          & ndr1_0
          & ~ c3_1(a115) ) )
      & ( hskp9
        | hskp22
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( hskp4
        | hskp6
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c1_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( hskp14
        | hskp21
        | hskp16 )
      & ( hskp17
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | hskp1 )
      & ( hskp3
        | hskp13
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c1_1(X42)
              | c2_1(X42) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c0_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c1_1(X31)
              | ~ c2_1(X31) ) )
        | hskp10 )
      & ( hskp3
        | hskp14
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | c3_1(X78)
              | ~ c1_1(X78) ) )
        | hskp18
        | hskp28 )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a98)
          & ~ c0_1(a98)
          & ~ c3_1(a98) ) )
      & ( hskp13
        | hskp19
        | hskp18 )
      & ( hskp12
        | hskp5
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c3_1(X64)
              | c1_1(X64) ) )
        | hskp19
        | hskp5 )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c0_1(X11)
              | c2_1(X11) ) )
        | hskp6
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c2_1(X10)
              | c3_1(X10) ) ) )
      & ( ( c2_1(a94)
          & c1_1(a94)
          & ndr1_0
          & c0_1(a94) )
        | ~ hskp26 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c3_1(X45)
              | c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | c1_1(X44)
              | ~ c0_1(X44) ) ) )
      & ( hskp3
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c3_1(X40)
              | c1_1(X40) ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a102)
          & ~ c3_1(a102)
          & c2_1(a102) ) )
      & ( hskp3
        | hskp8
        | hskp20 )
      & ( hskp6
        | hskp3
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( ( c0_1(a142)
          & c3_1(a142)
          & ndr1_0
          & c1_1(a142) )
        | ~ hskp28 )
      & ( ( c2_1(a95)
          & c3_1(a95)
          & ndr1_0
          & c0_1(a95) )
        | ~ hskp27 )
      & ( hskp12
        | hskp14
        | hskp11 )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp1
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp18
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp14 )
      & ( ( c0_1(a105)
          & ndr1_0
          & c2_1(a105)
          & ~ c1_1(a105) )
        | ~ hskp9 )
      & ( ~ hskp0
        | ( ~ c1_1(a96)
          & ndr1_0
          & ~ c2_1(a96)
          & ~ c3_1(a96) ) )
      & ( hskp26
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | hskp27 )
      & ( ( c1_1(a106)
          & ndr1_0
          & ~ c2_1(a106)
          & c3_1(a106) )
        | ~ hskp10 )
      & ( hskp17
        | hskp25
        | hskp18 )
      & ( ~ hskp7
        | ( ~ c1_1(a103)
          & ~ c3_1(a103)
          & c0_1(a103)
          & ndr1_0 ) )
      & ( hskp9
        | hskp2
        | hskp14 )
      & ( hskp11
        | hskp26
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ~ hskp18
        | ( c1_1(a125)
          & ndr1_0
          & ~ c3_1(a125)
          & c0_1(a125) ) )
      & ( ~ hskp21
        | ( c3_1(a145)
          & ndr1_0
          & ~ c2_1(a145)
          & ~ c0_1(a145) ) )
      & ( ~ hskp5
        | ( c3_1(a101)
          & ~ c1_1(a101)
          & ndr1_0
          & ~ c2_1(a101) ) )
      & ( hskp20
        | hskp10
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | hskp1 )
      & ( ~ hskp16
        | ( ~ c2_1(a118)
          & c1_1(a118)
          & ndr1_0
          & ~ c3_1(a118) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp1
        | hskp26 )
      & ( hskp16
        | hskp8
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c3_1(X61)
              | ~ c0_1(X61) ) ) )
      & ( hskp14
        | hskp10
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c3_1(X60)
              | c1_1(X60) ) ) )
      & ( ~ hskp24
        | ( ~ c0_1(a153)
          & c1_1(a153)
          & ndr1_0
          & ~ c2_1(a153) ) )
      & ( ~ hskp25
        | ( ~ c1_1(a159)
          & c0_1(a159)
          & ndr1_0
          & ~ c2_1(a159) ) )
      & ( hskp3
        | hskp2
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c3_1(X8)
              | c0_1(X8) ) ) )
      & ( ( c2_1(a100)
          & ~ c0_1(a100)
          & ndr1_0
          & ~ c1_1(a100) )
        | ~ hskp4 )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c0_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c0_1(X24)
              | c3_1(X24) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c0_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c0_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c3_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c0_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c0_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp15
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c1_1(X49)
              | c2_1(X49) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c1_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c3_1(X38) ) )
        | hskp12 )
      & ( hskp22
        | hskp17
        | hskp6 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c1_1(X79)
              | ~ c2_1(X79) ) )
        | hskp12
        | hskp21 )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | hskp9
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) ) )
      & ( ( c3_1(a165)
          & c2_1(a165)
          & ndr1_0
          & c1_1(a165) )
        | ~ hskp29 )
      & ( hskp10
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c2_1(X56)
              | c1_1(X56) ) ) )
      & ( hskp8
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c1_1(X82)
              | ~ c2_1(X82) ) )
        | hskp12 )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c3_1(X27)
              | ~ c2_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | c1_1(X28)
              | c3_1(X28) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | ~ c3_1(X9)
              | c0_1(X9) ) )
        | hskp4
        | hskp5 )
      & ( ( ndr1_0
          & c2_1(a109)
          & ~ c3_1(a109)
          & ~ c0_1(a109) )
        | ~ hskp11 )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c1_1(X65)
              | ~ c2_1(X65) ) )
        | hskp13 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | ~ c1_1(X12) ) )
        | hskp7
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) ) )
      & ( ( c0_1(a127)
          & ndr1_0
          & ~ c3_1(a127)
          & c2_1(a127) )
        | ~ hskp19 )
      & ( ( ~ c0_1(a110)
          & c3_1(a110)
          & c2_1(a110)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a124)
          & ~ c1_1(a124)
          & ~ c3_1(a124) ) )
      & ( hskp20
        | hskp29
        | hskp0 )
      & ( hskp8
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c3_1(X18)
              | ~ c1_1(X18) ) ) )
      & ( hskp22
        | hskp17
        | hskp15 )
      & ( ( c0_1(a133)
          & c3_1(a133)
          & ~ c2_1(a133)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ~ hskp1
        | ( ~ c1_1(a97)
          & ndr1_0
          & c3_1(a97)
          & c2_1(a97) ) )
      & ( ~ hskp23
        | ( c1_1(a152)
          & ndr1_0
          & ~ c2_1(a152)
          & c0_1(a152) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f969,plain,
    ( ~ spl0_152
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f98,f538,f966]) ).

fof(f538,plain,
    ( spl0_74
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f98,plain,
    ( ~ hskp2
    | ~ c3_1(a98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f964,plain,
    ( ~ spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f63,f237,f272]) ).

fof(f272,plain,
    ( spl0_14
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f63,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f958,plain,
    ( spl0_22
    | spl0_10
    | spl0_37
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f121,f237,f374,f255,f308]) ).

fof(f308,plain,
    ( spl0_22
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f255,plain,
    ( spl0_10
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f121,plain,
    ! [X37] :
      ( ~ ndr1_0
      | c0_1(X37)
      | ~ c1_1(X37)
      | hskp11
      | ~ c2_1(X37)
      | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( ~ spl0_6
    | spl0_47
    | spl0_116
    | spl0_29 ),
    inference(avatar_split_clause,[],[f26,f338,f762,f415,f237]) ).

fof(f415,plain,
    ( spl0_47
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f338,plain,
    ( spl0_29
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f26,plain,
    ! [X72] :
      ( hskp8
      | ~ c3_1(X72)
      | hskp12
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f951,plain,
    ( ~ spl0_2
    | spl0_150 ),
    inference(avatar_split_clause,[],[f150,f948,f219]) ).

fof(f219,plain,
    ( spl0_2
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f150,plain,
    ( c2_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f946,plain,
    ( ~ spl0_64
    | spl0_149 ),
    inference(avatar_split_clause,[],[f130,f943,f491]) ).

fof(f491,plain,
    ( spl0_64
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f130,plain,
    ( c0_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f941,plain,
    ( ~ spl0_148
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f77,f415,f938]) ).

fof(f77,plain,
    ( ~ hskp12
    | ~ c0_1(a110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f927,plain,
    ( spl0_43
    | spl0_45
    | ~ spl0_6
    | spl0_26 ),
    inference(avatar_split_clause,[],[f190,f327,f237,f407,f398]) ).

fof(f398,plain,
    ( spl0_43
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f190,plain,
    ! [X8,X7] :
      ( ~ c2_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c1_1(X8)
      | hskp3
      | c2_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X8,X7] :
      ( ~ c3_1(X7)
      | c1_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c2_1(X8)
      | ~ ndr1_0
      | c3_1(X8)
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f926,plain,
    ( ~ spl0_6
    | spl0_19
    | spl0_47
    | spl0_84 ),
    inference(avatar_split_clause,[],[f87,f585,f415,f294,f237]) ).

fof(f294,plain,
    ( spl0_19
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f87,plain,
    ! [X53] :
      ( c3_1(X53)
      | hskp12
      | hskp5
      | c2_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( spl0_36
    | spl0_13
    | spl0_35
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f154,f237,f365,f267,f369]) ).

fof(f369,plain,
    ( spl0_36
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f267,plain,
    ( spl0_13
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f154,plain,
    ! [X27] :
      ( ~ ndr1_0
      | ~ c0_1(X27)
      | hskp14
      | hskp10
      | ~ c3_1(X27)
      | c1_1(X27) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f924,plain,
    ( ~ spl0_74
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f99,f921,f538]) ).

fof(f99,plain,
    ( ~ c0_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( spl0_16
    | spl0_13
    | spl0_60 ),
    inference(avatar_split_clause,[],[f149,f470,f267,f281]) ).

fof(f281,plain,
    ( spl0_16
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f470,plain,
    ( spl0_60
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f149,plain,
    ( hskp21
    | hskp14
    | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f908,plain,
    ( ~ spl0_142
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f11,f389,f905]) ).

fof(f389,plain,
    ( spl0_41
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f11,plain,
    ( ~ hskp20
    | ~ c2_1(a133) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f902,plain,
    ( spl0_141
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f136,f251,f899]) ).

fof(f251,plain,
    ( spl0_9
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f136,plain,
    ( ~ hskp29
    | c2_1(a165) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f897,plain,
    ( spl0_140
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f100,f538,f894]) ).

fof(f100,plain,
    ( ~ hskp2
    | c1_1(a98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f891,plain,
    ( ~ spl0_11
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f21,f888,f260]) ).

fof(f260,plain,
    ( spl0_11
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f21,plain,
    ( ~ c3_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f886,plain,
    ( ~ spl0_41
    | spl0_138 ),
    inference(avatar_split_clause,[],[f13,f883,f389]) ).

fof(f13,plain,
    ( c0_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( ~ spl0_29
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f80,f878,f338]) ).

fof(f80,plain,
    ( ~ c3_1(a104)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f876,plain,
    ( ~ spl0_13
    | spl0_136 ),
    inference(avatar_split_clause,[],[f71,f873,f267]) ).

fof(f71,plain,
    ( c0_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f871,plain,
    ( ~ spl0_135
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f162,f369,f868]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c2_1(a106) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( spl0_13
    | spl0_10
    | spl0_47 ),
    inference(avatar_split_clause,[],[f122,f415,f255,f267]) ).

fof(f122,plain,
    ( hskp12
    | hskp11
    | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f865,plain,
    ( ~ spl0_36
    | spl0_134 ),
    inference(avatar_split_clause,[],[f164,f862,f369]) ).

fof(f164,plain,
    ( c1_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( spl0_64
    | ~ spl0_6
    | spl0_81
    | spl0_93 ),
    inference(avatar_split_clause,[],[f191,f633,f575,f237,f491]) ).

fof(f191,plain,
    ! [X73,X74] :
      ( ~ c2_1(X73)
      | c2_1(X74)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c0_1(X74)
      | hskp7
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f25,plain,
    ! [X73,X74] :
      ( ~ c3_1(X73)
      | c0_1(X73)
      | ~ c1_1(X74)
      | c2_1(X74)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X74)
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f858,plain,
    ( spl0_43
    | spl0_66
    | ~ spl0_6
    | spl0_45 ),
    inference(avatar_split_clause,[],[f39,f407,f237,f503,f398]) ).

fof(f39,plain,
    ! [X67] :
      ( c2_1(X67)
      | ~ ndr1_0
      | c3_1(X67)
      | hskp13
      | c1_1(X67)
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f857,plain,
    ( ~ spl0_34
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f58,f854,f360]) ).

fof(f360,plain,
    ( spl0_34
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f58,plain,
    ( ~ c0_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( ~ spl0_131
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f175,f281,f842]) ).

fof(f175,plain,
    ( ~ hskp16
    | ~ c2_1(a118) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( ~ spl0_19
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f18,f835,f294]) ).

fof(f18,plain,
    ( ~ c1_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f825,plain,
    ( ~ spl0_34
    | spl0_127 ),
    inference(avatar_split_clause,[],[f59,f822,f360]) ).

fof(f59,plain,
    ( c3_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f819,plain,
    ( ~ spl0_42
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f94,f816,f393]) ).

fof(f393,plain,
    ( spl0_42
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f94,plain,
    ( ~ c3_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( spl0_34
    | spl0_70
    | ~ spl0_6
    | spl0_99 ),
    inference(avatar_split_clause,[],[f195,f667,f237,f523,f360]) ).

fof(f195,plain,
    ! [X10,X9] :
      ( ~ c3_1(X9)
      | ~ ndr1_0
      | c2_1(X9)
      | ~ c0_1(X9)
      | c2_1(X10)
      | ~ c0_1(X10)
      | c1_1(X10)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X10,X9] :
      ( ~ c0_1(X9)
      | ~ c0_1(X10)
      | c1_1(X10)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X9)
      | c2_1(X10)
      | hskp15
      | ~ c3_1(X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( spl0_13
    | ~ spl0_6
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f197,f526,f523,f237,f267]) ).

fof(f197,plain,
    ! [X41,X42] :
      ( c1_1(X42)
      | c1_1(X41)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c2_1(X41)
      | c2_1(X42)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X41,X42] :
      ( c2_1(X42)
      | ~ c0_1(X41)
      | ~ c3_1(X42)
      | c1_1(X41)
      | hskp14
      | ~ ndr1_0
      | c1_1(X42)
      | c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f794,plain,
    ( ~ spl0_122
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f138,f398,f791]) ).

fof(f138,plain,
    ( ~ hskp3
    | ~ c1_1(a99) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( ~ spl0_42
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f97,f786,f393]) ).

fof(f97,plain,
    ( ~ c1_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( spl0_117
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f106,f255,f766]) ).

fof(f106,plain,
    ( ~ hskp11
    | c2_1(a109) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f758,plain,
    ( ~ spl0_13
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f72,f755,f267]) ).

fof(f72,plain,
    ( ~ c2_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f747,plain,
    ( ~ spl0_23
    | spl0_113 ),
    inference(avatar_split_clause,[],[f114,f744,f313]) ).

fof(f313,plain,
    ( spl0_23
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f114,plain,
    ( c2_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f737,plain,
    ( ~ spl0_111
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f61,f272,f734]) ).

fof(f61,plain,
    ( ~ hskp9
    | ~ c1_1(a105) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( spl0_109
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f12,f389,f724]) ).

fof(f12,plain,
    ( ~ hskp20
    | c3_1(a133) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( ~ spl0_66
    | spl0_108 ),
    inference(avatar_split_clause,[],[f166,f719,f503]) ).

fof(f166,plain,
    ( c3_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f717,plain,
    ( spl0_107
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f93,f308,f714]) ).

fof(f93,plain,
    ( ~ hskp26
    | c2_1(a94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( ~ spl0_9
    | spl0_104 ),
    inference(avatar_split_clause,[],[f134,f697,f251]) ).

fof(f134,plain,
    ( c1_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( spl0_91
    | spl0_52
    | spl0_72
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f198,f237,f529,f437,f621]) ).

fof(f198,plain,
    ! [X14,X15,X13] :
      ( ~ ndr1_0
      | c2_1(X15)
      | ~ c3_1(X15)
      | ~ c0_1(X13)
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ c1_1(X15)
      | ~ c1_1(X14) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X14,X15,X13] :
      ( ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | ~ c3_1(X15)
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c1_1(X15)
      | c2_1(X14)
      | ~ ndr1_0
      | c2_1(X15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f692,plain,
    ( ~ spl0_47
    | spl0_103 ),
    inference(avatar_split_clause,[],[f76,f689,f415]) ).

fof(f76,plain,
    ( c3_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f687,plain,
    ( spl0_102
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f23,f260,f684]) ).

fof(f23,plain,
    ( ~ hskp18
    | c1_1(a125) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f682,plain,
    ( ~ spl0_19
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f16,f679,f294]) ).

fof(f16,plain,
    ( ~ c2_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f671,plain,
    ( spl0_13
    | spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f142,f398,f313,f267]) ).

fof(f142,plain,
    ( hskp3
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f669,plain,
    ( ~ spl0_6
    | spl0_98
    | spl0_37
    | spl0_99 ),
    inference(avatar_split_clause,[],[f199,f667,f374,f664,f237]) ).

fof(f199,plain,
    ! [X58,X59,X60] :
      ( ~ c3_1(X59)
      | c0_1(X60)
      | ~ c2_1(X60)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X58)
      | ~ c1_1(X60)
      | ~ c1_1(X58)
      | ~ c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X58,X59,X60] :
      ( c0_1(X60)
      | ~ c1_1(X58)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X58)
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c2_1(X60)
      | ~ c2_1(X58)
      | ~ c1_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f662,plain,
    ( ~ spl0_64
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f131,f659,f491]) ).

fof(f131,plain,
    ( ~ c3_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f657,plain,
    ( spl0_96
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f137,f251,f654]) ).

fof(f137,plain,
    ( ~ hskp29
    | c3_1(a165) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( spl0_84
    | spl0_41
    | spl0_36
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f185,f237,f369,f389,f585]) ).

fof(f185,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp10
      | hskp20
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f642,plain,
    ( ~ spl0_60
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f124,f639,f470]) ).

fof(f124,plain,
    ( ~ c0_1(a145)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f637,plain,
    ( spl0_36
    | ~ spl0_6
    | spl0_50
    | spl0_38 ),
    inference(avatar_split_clause,[],[f200,f377,f428,f237,f369]) ).

fof(f200,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c2_1(X51)
      | ~ c2_1(X50)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X51)
      | hskp10
      | c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f102]) ).

fof(f102,plain,
    ! [X50,X51] :
      ( c1_1(X51)
      | hskp10
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c2_1(X51)
      | c3_1(X50)
      | ~ c2_1(X50)
      | c3_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( ~ spl0_6
    | spl0_93
    | spl0_58
    | spl0_53 ),
    inference(avatar_split_clause,[],[f202,f440,f462,f633,f237]) ).

fof(f202,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c3_1(X44)
      | ~ c0_1(X44)
      | c2_1(X43)
      | ~ c3_1(X43)
      | c0_1(X45)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f110]) ).

fof(f110,plain,
    ! [X44,X45,X43] :
      ( c0_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X43)
      | ~ c2_1(X45)
      | ~ c3_1(X43)
      | c3_1(X44)
      | c0_1(X43)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f631,plain,
    ( ~ spl0_74
    | spl0_6 ),
    inference(avatar_split_clause,[],[f101,f237,f538]) ).

fof(f101,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f628,plain,
    ( spl0_92
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f127,f470,f625]) ).

fof(f127,plain,
    ( ~ hskp21
    | c3_1(a145) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f618,plain,
    ( spl0_90
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f90,f308,f615]) ).

fof(f90,plain,
    ( ~ hskp26
    | c0_1(a94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( ~ spl0_66
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f167,f605,f503]) ).

fof(f167,plain,
    ( ~ c1_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( spl0_87
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f20,f260,f599]) ).

fof(f20,plain,
    ( ~ hskp18
    | c0_1(a125) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f597,plain,
    ( ~ spl0_86
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f69,f267,f594]) ).

fof(f69,plain,
    ( ~ hskp14
    | ~ c3_1(a115) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f580,plain,
    ( spl0_81
    | ~ spl0_6
    | spl0_82
    | spl0_2 ),
    inference(avatar_split_clause,[],[f205,f219,f578,f237,f575]) ).

fof(f205,plain,
    ! [X16,X17] :
      ( hskp6
      | c3_1(X16)
      | c0_1(X16)
      | ~ ndr1_0
      | c2_1(X17)
      | ~ c1_1(X17)
      | c0_1(X17)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X16,X17] :
      ( c2_1(X17)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c1_1(X17)
      | c0_1(X16)
      | ~ ndr1_0
      | c3_1(X16)
      | hskp6
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( ~ spl0_80
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f81,f338,f570]) ).

fof(f81,plain,
    ( ~ hskp8
    | ~ c0_1(a104) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( ~ spl0_16
    | spl0_78 ),
    inference(avatar_split_clause,[],[f174,f559,f281]) ).

fof(f174,plain,
    ( c1_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f557,plain,
    ( spl0_77
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f115,f313,f554]) ).

fof(f115,plain,
    ( ~ hskp1
    | c3_1(a97) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f552,plain,
    ( ~ spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f70,f237,f267]) ).

fof(f70,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( spl0_76
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f139,f398,f548]) ).

fof(f139,plain,
    ( ~ hskp3
    | c2_1(a99) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f541,plain,
    ( spl0_14
    | spl0_74
    | spl0_13 ),
    inference(avatar_split_clause,[],[f14,f267,f538,f272]) ).

fof(f14,plain,
    ( hskp14
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f536,plain,
    ( ~ spl0_73
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f95,f393,f533]) ).

fof(f95,plain,
    ( ~ hskp0
    | ~ c2_1(a96) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f531,plain,
    ( ~ spl0_6
    | spl0_70
    | spl0_71
    | spl0_72 ),
    inference(avatar_split_clause,[],[f206,f529,f526,f523,f237]) ).

fof(f206,plain,
    ! [X80,X78,X79] :
      ( ~ c1_1(X78)
      | c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | c2_1(X78)
      | ~ c0_1(X79)
      | c1_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X78) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ! [X80,X78,X79] :
      ( ~ c0_1(X79)
      | c2_1(X78)
      | ~ c3_1(X78)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c1_1(X78)
      | c2_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( ~ spl0_10
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f105,f518,f255]) ).

fof(f105,plain,
    ( ~ c3_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f511,plain,
    ( ~ spl0_6
    | spl0_45
    | spl0_23 ),
    inference(avatar_split_clause,[],[f118,f313,f407,f237]) ).

fof(f118,plain,
    ! [X40] :
      ( hskp1
      | c2_1(X40)
      | c1_1(X40)
      | c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f510,plain,
    ( ~ spl0_66
    | spl0_67 ),
    inference(avatar_split_clause,[],[f168,f507,f503]) ).

fof(f168,plain,
    ( c0_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f501,plain,
    ( spl0_65
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f62,f272,f498]) ).

fof(f62,plain,
    ( ~ hskp9
    | c2_1(a105) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f494,plain,
    ( ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f132,f491,f487]) ).

fof(f132,plain,
    ( ~ hskp7
    | ~ c1_1(a103) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f480,plain,
    ( spl0_26
    | spl0_23
    | spl0_37
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f207,f237,f374,f313,f327]) ).

fof(f207,plain,
    ! [X70,X71] :
      ( ~ ndr1_0
      | ~ c1_1(X70)
      | ~ c2_1(X70)
      | hskp1
      | ~ c2_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f27,plain,
    ! [X70,X71] :
      ( ~ ndr1_0
      | ~ c2_1(X71)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ c0_1(X71)
      | hskp1
      | ~ c2_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f478,plain,
    ( ~ spl0_61
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f151,f219,f475]) ).

fof(f151,plain,
    ( ~ hskp6
    | ~ c3_1(a102) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f473,plain,
    ( ~ spl0_59
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f125,f470,f466]) ).

fof(f125,plain,
    ( ~ hskp21
    | ~ c2_1(a145) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl0_6
    | spl0_39
    | spl0_47
    | spl0_58 ),
    inference(avatar_split_clause,[],[f208,f462,f415,f380,f237]) ).

fof(f208,plain,
    ! [X26,X25] :
      ( c3_1(X26)
      | ~ c0_1(X26)
      | hskp12
      | ~ c1_1(X25)
      | c1_1(X26)
      | c0_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X25) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X26,X25] :
      ( ~ c3_1(X25)
      | c0_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c1_1(X26)
      | hskp12
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f430,plain,
    ( ~ spl0_6
    | spl0_39
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f210,f428,f425,f380,f237]) ).

fof(f210,plain,
    ! [X31,X32,X33] :
      ( ~ c2_1(X32)
      | c1_1(X31)
      | ~ c1_1(X33)
      | c0_1(X33)
      | c0_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X31)
      | c1_1(X32)
      | c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X31,X32,X33] :
      ( c2_1(X31)
      | ~ c1_1(X33)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X32)
      | c0_1(X33)
      | ~ c2_1(X32)
      | c0_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c1_1(X31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f423,plain,
    ( ~ spl0_36
    | spl0_48 ),
    inference(avatar_split_clause,[],[f161,f420,f369]) ).

fof(f161,plain,
    ( c3_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f418,plain,
    ( spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f75,f415,f411]) ).

fof(f75,plain,
    ( ~ hskp12
    | c2_1(a110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f405,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f140,f402,f398]) ).

fof(f140,plain,
    ( ~ c3_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f396,plain,
    ( spl0_41
    | spl0_9
    | spl0_42 ),
    inference(avatar_split_clause,[],[f88,f393,f251,f389]) ).

fof(f88,plain,
    ( hskp0
    | hskp29
    | hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f387,plain,
    ( spl0_40
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f19,f294,f384]) ).

fof(f19,plain,
    ( ~ hskp5
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f382,plain,
    ( ~ spl0_6
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f212,f380,f377,f374,f237]) ).

fof(f212,plain,
    ! [X56,X54,X55] :
      ( ~ c1_1(X55)
      | c0_1(X55)
      | ~ c2_1(X54)
      | c0_1(X56)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X56)
      | ~ c1_1(X56) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X56,X54,X55] :
      ( c0_1(X56)
      | ~ c3_1(X55)
      | ~ c1_1(X56)
      | ~ c1_1(X55)
      | ~ c2_1(X54)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c0_1(X54)
      | c0_1(X55)
      | ~ ndr1_0
      | c3_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f367,plain,
    ( spl0_16
    | spl0_29
    | ~ spl0_6
    | spl0_35 ),
    inference(avatar_split_clause,[],[f49,f365,f237,f338,f281]) ).

fof(f49,plain,
    ! [X63] :
      ( ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | hskp8
      | c1_1(X63)
      | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f363,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f60,f360,f356]) ).

fof(f60,plain,
    ( ~ hskp15
    | c1_1(a116) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f345,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f82,f342,f338]) ).

fof(f82,plain,
    ( ~ c2_1(a104)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f336,plain,
    ( spl0_19
    | spl0_27
    | ~ spl0_6
    | spl0_28 ),
    inference(avatar_split_clause,[],[f213,f334,f237,f331,f294]) ).

fof(f213,plain,
    ! [X4,X5] :
      ( ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | c2_1(X5)
      | c3_1(X5)
      | ~ c1_1(X5)
      | c3_1(X4)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X4,X5] :
      ( ~ c1_1(X5)
      | c2_1(X5)
      | c3_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | hskp5
      | ~ c2_1(X4)
      | ~ ndr1_0
      | c3_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f329,plain,
    ( spl0_26
    | ~ spl0_6
    | spl0_23
    | spl0_22 ),
    inference(avatar_split_clause,[],[f89,f308,f313,f237,f327]) ).

fof(f89,plain,
    ! [X52] :
      ( hskp26
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | ~ c3_1(X52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f320,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f117,f317,f313]) ).

fof(f117,plain,
    ( ~ c1_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f311,plain,
    ( spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f92,f308,f304]) ).

fof(f92,plain,
    ( ~ hskp26
    | c1_1(a94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f302,plain,
    ( ~ spl0_10
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f104,f299,f255]) ).

fof(f104,plain,
    ( ~ c0_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f288,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f172,f285,f281]) ).

fof(f172,plain,
    ( ~ c3_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f279,plain,
    ( ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f64,f276,f272]) ).

fof(f64,plain,
    ( c0_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f270,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_6
    | spl0_13 ),
    inference(avatar_split_clause,[],[f51,f267,f237,f264,f260]) ).

fof(f51,plain,
    ! [X61] :
      ( hskp14
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c3_1(X61)
      | hskp18
      | ~ c2_1(X61) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f222,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f152,f219,f215]) ).

fof(f152,plain,
    ( ~ hskp6
    | c1_1(a102) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN454+1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:53:11 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (21072)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)
% 0.19/0.53  % (21096)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)
% 0.19/0.55  % (21075)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)
% 0.19/0.55  % (21088)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)
% 0.19/0.56  % (21080)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)
% 0.19/0.56  % (21080)Instruction limit reached!
% 0.19/0.56  % (21080)------------------------------
% 0.19/0.56  % (21080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (21080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (21080)Termination reason: Unknown
% 0.19/0.56  % (21080)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (21080)Memory used [KB]: 6524
% 0.19/0.56  % (21080)Time elapsed: 0.006 s
% 0.19/0.56  % (21080)Instructions burned: 7 (million)
% 0.19/0.56  % (21080)------------------------------
% 0.19/0.56  % (21080)------------------------------
% 0.19/0.56  % (21091)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)
% 0.19/0.57  % (21083)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)
% 0.19/0.58  % (21088)Instruction limit reached!
% 0.19/0.58  % (21088)------------------------------
% 0.19/0.58  % (21088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (21088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (21088)Termination reason: Unknown
% 0.19/0.58  % (21088)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (21088)Memory used [KB]: 6780
% 0.19/0.58  % (21088)Time elapsed: 0.174 s
% 0.19/0.58  % (21088)Instructions burned: 11 (million)
% 0.19/0.58  % (21088)------------------------------
% 0.19/0.58  % (21088)------------------------------
% 0.19/0.58  % (21083)Instruction limit reached!
% 0.19/0.58  % (21083)------------------------------
% 0.19/0.58  % (21083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (21083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (21083)Termination reason: Unknown
% 0.19/0.58  % (21083)Termination phase: shuffling
% 0.19/0.58  
% 0.19/0.58  % (21083)Memory used [KB]: 1663
% 0.19/0.58  % (21083)Time elapsed: 0.005 s
% 0.19/0.58  % (21083)Instructions burned: 3 (million)
% 0.19/0.58  % (21083)------------------------------
% 0.19/0.58  % (21083)------------------------------
% 0.19/0.58  % (21070)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)
% 0.19/0.58  % (21078)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)
% 0.19/0.59  % (21096)Instruction limit reached!
% 0.19/0.59  % (21096)------------------------------
% 0.19/0.59  % (21096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (21096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (21096)Termination reason: Unknown
% 0.19/0.59  % (21096)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (21096)Memory used [KB]: 6908
% 0.19/0.59  % (21096)Time elapsed: 0.200 s
% 0.19/0.59  % (21096)Instructions burned: 25 (million)
% 0.19/0.59  % (21096)------------------------------
% 0.19/0.59  % (21096)------------------------------
% 1.79/0.60  % (21092)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)
% 1.79/0.60  % (21071)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)
% 1.79/0.60  % (21069)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.79/0.60  % (21098)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)
% 1.79/0.61  % (21077)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)
% 1.79/0.61  % (21074)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)
% 1.79/0.61  % (21070)Instruction limit reached!
% 1.79/0.61  % (21070)------------------------------
% 1.79/0.61  % (21070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (21097)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)
% 2.05/0.61  % (21073)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)
% 2.05/0.61  % (21084)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)
% 2.05/0.61  % (21079)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)
% 2.05/0.61  % (21072)Instruction limit reached!
% 2.05/0.61  % (21072)------------------------------
% 2.05/0.61  % (21072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (21072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (21072)Termination reason: Unknown
% 2.05/0.62  % (21072)Termination phase: Saturation
% 2.05/0.62  
% 2.05/0.62  % (21072)Memory used [KB]: 7547
% 2.05/0.62  % (21072)Time elapsed: 0.220 s
% 2.05/0.62  % (21072)Instructions burned: 51 (million)
% 2.05/0.62  % (21072)------------------------------
% 2.05/0.62  % (21072)------------------------------
% 2.05/0.62  % (21082)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)
% 2.05/0.62  % (21086)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.05/0.62  % (21086)Instruction limit reached!
% 2.05/0.62  % (21086)------------------------------
% 2.05/0.62  % (21086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (21086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (21086)Termination reason: Unknown
% 2.05/0.62  % (21086)Termination phase: Naming
% 2.05/0.62  
% 2.05/0.62  % (21086)Memory used [KB]: 1663
% 2.05/0.62  % (21086)Time elapsed: 0.005 s
% 2.05/0.62  % (21086)Instructions burned: 3 (million)
% 2.05/0.62  % (21086)------------------------------
% 2.05/0.62  % (21086)------------------------------
% 2.05/0.62  % (21070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (21070)Termination reason: Unknown
% 2.05/0.62  % (21070)Termination phase: Saturation
% 2.05/0.62  
% 2.05/0.62  % (21070)Memory used [KB]: 6908
% 2.05/0.62  % (21070)Time elapsed: 0.183 s
% 2.05/0.62  % (21070)Instructions burned: 14 (million)
% 2.05/0.62  % (21070)------------------------------
% 2.05/0.62  % (21070)------------------------------
% 2.05/0.62  % (21071)Instruction limit reached!
% 2.05/0.62  % (21071)------------------------------
% 2.05/0.62  % (21071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (21071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (21071)Termination reason: Unknown
% 2.05/0.62  % (21071)Termination phase: Preprocessing 3
% 2.05/0.62  
% 2.05/0.62  % (21071)Memory used [KB]: 1663
% 2.05/0.62  % (21071)Time elapsed: 0.005 s
% 2.05/0.62  % (21071)Instructions burned: 4 (million)
% 2.05/0.62  % (21071)------------------------------
% 2.05/0.62  % (21071)------------------------------
% 2.05/0.63  % (21075)Instruction limit reached!
% 2.05/0.63  % (21075)------------------------------
% 2.05/0.63  % (21075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (21075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (21075)Termination reason: Unknown
% 2.05/0.63  % (21075)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (21075)Memory used [KB]: 7291
% 2.05/0.63  % (21075)Time elapsed: 0.192 s
% 2.05/0.63  % (21075)Instructions burned: 39 (million)
% 2.05/0.63  % (21075)------------------------------
% 2.05/0.63  % (21075)------------------------------
% 2.05/0.63  % (21087)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)
% 2.05/0.63  % (21087)Instruction limit reached!
% 2.05/0.63  % (21087)------------------------------
% 2.05/0.63  % (21087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (21087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (21087)Termination reason: Unknown
% 2.05/0.63  % (21087)Termination phase: Preprocessing 1
% 2.05/0.63  
% 2.05/0.63  % (21087)Memory used [KB]: 1535
% 2.05/0.63  % (21087)Time elapsed: 0.003 s
% 2.05/0.63  % (21087)Instructions burned: 2 (million)
% 2.05/0.63  % (21087)------------------------------
% 2.05/0.63  % (21087)------------------------------
% 2.05/0.63  % (21097)Instruction limit reached!
% 2.05/0.63  % (21097)------------------------------
% 2.05/0.63  % (21097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (21097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (21097)Termination reason: Unknown
% 2.05/0.63  % (21097)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (21097)Memory used [KB]: 6524
% 2.05/0.63  % (21097)Time elapsed: 0.008 s
% 2.05/0.63  % (21097)Instructions burned: 8 (million)
% 2.05/0.63  % (21097)------------------------------
% 2.05/0.63  % (21097)------------------------------
% 2.05/0.63  % (21093)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)
% 2.05/0.63  % (21079)Instruction limit reached!
% 2.05/0.63  % (21079)------------------------------
% 2.05/0.63  % (21079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (21079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (21079)Termination reason: Unknown
% 2.05/0.63  % (21079)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (21079)Memory used [KB]: 6780
% 2.05/0.63  % (21079)Time elapsed: 0.212 s
% 2.05/0.63  % (21079)Instructions burned: 13 (million)
% 2.05/0.63  % (21079)------------------------------
% 2.05/0.63  % (21079)------------------------------
% 2.05/0.64  % (21084)Instruction limit reached!
% 2.05/0.64  % (21084)------------------------------
% 2.05/0.64  % (21084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (21084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (21084)Termination reason: Unknown
% 2.05/0.64  % (21084)Termination phase: Saturation
% 2.05/0.64  
% 2.05/0.64  % (21084)Memory used [KB]: 6652
% 2.05/0.64  % (21084)Time elapsed: 0.008 s
% 2.05/0.64  % (21084)Instructions burned: 8 (million)
% 2.05/0.64  % (21084)------------------------------
% 2.05/0.64  % (21084)------------------------------
% 2.05/0.64  % (21078)Instruction limit reached!
% 2.05/0.64  % (21078)------------------------------
% 2.05/0.64  % (21078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (21078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (21078)Termination reason: Unknown
% 2.05/0.64  % (21078)Termination phase: Saturation
% 2.05/0.64  
% 2.05/0.64  % (21078)Memory used [KB]: 7291
% 2.05/0.64  % (21095)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)
% 2.05/0.64  % (21078)Time elapsed: 0.206 s
% 2.05/0.64  % (21078)Instructions burned: 33 (million)
% 2.05/0.64  % (21078)------------------------------
% 2.05/0.64  % (21078)------------------------------
% 2.05/0.64  % (21073)Instruction limit reached!
% 2.05/0.64  % (21073)------------------------------
% 2.05/0.64  % (21073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (21073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (21073)Termination reason: Unknown
% 2.05/0.64  % (21073)Termination phase: Saturation
% 2.05/0.64  
% 2.05/0.64  % (21073)Memory used [KB]: 6780
% 2.05/0.64  % (21073)Time elapsed: 0.202 s
% 2.05/0.64  % (21073)Instructions burned: 14 (million)
% 2.05/0.64  % (21073)------------------------------
% 2.05/0.64  % (21073)------------------------------
% 2.05/0.64  % (21076)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)
% 2.05/0.64  % (21074)Instruction limit reached!
% 2.05/0.64  % (21074)------------------------------
% 2.05/0.64  % (21074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (21074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (21074)Termination reason: Unknown
% 2.05/0.64  % (21074)Termination phase: Saturation
% 2.05/0.64  
% 2.05/0.64  % (21074)Memory used [KB]: 1918
% 2.05/0.64  % (21074)Time elapsed: 0.223 s
% 2.05/0.64  % (21074)Instructions burned: 15 (million)
% 2.05/0.64  % (21074)------------------------------
% 2.05/0.64  % (21074)------------------------------
% 2.05/0.64  % (21089)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)
% 2.05/0.64  % (21085)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)
% 2.05/0.64  % (21081)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)
% 2.05/0.65  % (21090)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)
% 2.05/0.65  % (21094)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)
% 2.05/0.65  % (21091)First to succeed.
% 2.39/0.66  % (21098)Instruction limit reached!
% 2.39/0.66  % (21098)------------------------------
% 2.39/0.66  % (21098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (21098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (21098)Termination reason: Unknown
% 2.39/0.68  % (21098)Termination phase: Saturation
% 2.39/0.68  
% 2.39/0.68  % (21098)Memory used [KB]: 6780
% 2.39/0.68  % (21098)Time elapsed: 0.248 s
% 2.39/0.68  % (21098)Instructions burned: 24 (million)
% 2.39/0.68  % (21098)------------------------------
% 2.39/0.68  % (21098)------------------------------
% 2.39/0.68  % (21081)Instruction limit reached!
% 2.39/0.68  % (21081)------------------------------
% 2.39/0.68  % (21081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (21081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (21081)Termination reason: Unknown
% 2.39/0.68  % (21081)Termination phase: Saturation
% 2.39/0.68  
% 2.39/0.68  % (21081)Memory used [KB]: 1918
% 2.39/0.68  % (21081)Time elapsed: 0.262 s
% 2.39/0.68  % (21081)Instructions burned: 16 (million)
% 2.39/0.68  % (21081)------------------------------
% 2.39/0.68  % (21081)------------------------------
% 2.39/0.71  % (21091)Refutation found. Thanks to Tanya!
% 2.39/0.71  % SZS status Theorem for theBenchmark
% 2.39/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.72  % (21091)------------------------------
% 2.39/0.72  % (21091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.72  % (21091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.72  % (21091)Termination reason: Refutation
% 2.39/0.72  
% 2.39/0.72  % (21091)Memory used [KB]: 8187
% 2.39/0.72  % (21091)Time elapsed: 0.249 s
% 2.39/0.72  % (21091)Instructions burned: 42 (million)
% 2.39/0.72  % (21091)------------------------------
% 2.39/0.72  % (21091)------------------------------
% 2.39/0.72  % (21068)Success in time 0.357 s
%------------------------------------------------------------------------------