TSTP Solution File: SYN501+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:02 EDT 2024

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  652 (   1 unt;   0 def)
%            Number of atoms       : 6742 (   0 equ)
%            Maximal formula atoms :  750 (  10 avg)
%            Number of connectives : 9148 (3058   ~;4283   |;1194   &)
%                                         ( 129 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  165 ( 164 usr; 161 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  906 ( 906   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3145,plain,
    $false,
    inference(avatar_sat_refutation,[],[f308,f317,f327,f369,f373,f374,f375,f377,f381,f382,f390,f407,f415,f416,f421,f422,f431,f440,f447,f448,f453,f457,f459,f473,f477,f479,f487,f488,f489,f497,f506,f518,f519,f531,f566,f571,f576,f582,f587,f592,f614,f619,f624,f630,f635,f678,f683,f688,f694,f699,f704,f705,f710,f715,f720,f726,f731,f736,f737,f742,f747,f752,f758,f763,f774,f779,f784,f790,f795,f806,f811,f816,f822,f827,f832,f838,f848,f854,f859,f864,f870,f875,f880,f886,f891,f896,f902,f907,f912,f918,f923,f928,f950,f955,f960,f961,f971,f976,f982,f987,f992,f998,f1003,f1008,f1014,f1019,f1024,f1032,f1048,f1054,f1069,f1095,f1107,f1180,f1195,f1294,f1300,f1319,f1336,f1341,f1484,f1532,f1589,f1605,f1646,f1690,f1758,f1775,f1796,f1818,f1847,f1894,f1896,f1900,f1939,f2039,f2045,f2125,f2190,f2231,f2268,f2284,f2301,f2340,f2419,f2442,f2570,f2576,f2599,f2661,f2702,f2705,f2722,f2776,f2811,f2852,f2952,f3012,f3017,f3043,f3138]) ).

fof(f3138,plain,
    ( ~ spl0_38
    | ~ spl0_61
    | spl0_145
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3137]) ).

fof(f3137,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_61
    | spl0_145
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3125,f991]) ).

fof(f991,plain,
    ( c2_1(a99)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl0_147
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3125,plain,
    ( ~ c2_1(a99)
    | ~ spl0_38
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f3121,f981]) ).

fof(f981,plain,
    ( ~ c1_1(a99)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f979,plain,
    ( spl0_145
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3121,plain,
    ( ! [X98] :
        ( c1_1(X98)
        | ~ c2_1(X98) )
    | ~ spl0_38
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f528,f414]) ).

fof(f414,plain,
    ( ! [X19] :
        ( c1_1(X19)
        | ~ c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_38
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f528,plain,
    ( ! [X98] :
        ( ~ c2_1(X98)
        | c0_1(X98)
        | c1_1(X98) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl0_61
  <=> ! [X98] :
        ( ~ c2_1(X98)
        | c0_1(X98)
        | c1_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3043,plain,
    ( ~ spl0_171
    | ~ spl0_38
    | ~ spl0_47
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3034,f701,f455,f413,f3014]) ).

fof(f3014,plain,
    ( spl0_171
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f455,plain,
    ( spl0_47
  <=> ! [X41] :
        ( ~ c0_1(X41)
        | c1_1(X41)
        | c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f701,plain,
    ( spl0_93
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3034,plain,
    ( ~ c0_1(a132)
    | ~ spl0_38
    | ~ spl0_47
    | spl0_93 ),
    inference(resolution,[],[f3019,f703]) ).

fof(f703,plain,
    ( ~ c1_1(a132)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f3019,plain,
    ( ! [X41] :
        ( c1_1(X41)
        | ~ c0_1(X41) )
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f456,f414]) ).

fof(f456,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | c1_1(X41)
        | c2_1(X41) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f3017,plain,
    ( spl0_92
    | spl0_171
    | ~ spl0_59
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2939,f691,f515,f3014,f696]) ).

fof(f696,plain,
    ( spl0_92
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f515,plain,
    ( spl0_59
  <=> ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f691,plain,
    ( spl0_91
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2939,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | ~ spl0_59
    | spl0_91 ),
    inference(resolution,[],[f516,f693]) ).

fof(f693,plain,
    ( ~ c3_1(a132)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f516,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f3012,plain,
    ( spl0_92
    | ~ spl0_48
    | spl0_91
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3008,f701,f691,f463,f696]) ).

fof(f463,plain,
    ( spl0_48
  <=> ! [X50] :
        ( c3_1(X50)
        | c1_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3008,plain,
    ( c2_1(a132)
    | ~ spl0_48
    | spl0_91
    | spl0_93 ),
    inference(subsumption_resolution,[],[f2999,f693]) ).

fof(f2999,plain,
    ( c3_1(a132)
    | c2_1(a132)
    | ~ spl0_48
    | spl0_93 ),
    inference(resolution,[],[f464,f703]) ).

fof(f464,plain,
    ( ! [X50] :
        ( c1_1(X50)
        | c3_1(X50)
        | c2_1(X50) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f2952,plain,
    ( spl0_108
    | ~ spl0_59
    | spl0_106
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2951,f776,f771,f515,f781]) ).

fof(f781,plain,
    ( spl0_108
  <=> c0_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f771,plain,
    ( spl0_106
  <=> c3_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f776,plain,
    ( spl0_107
  <=> c2_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2951,plain,
    ( c0_1(a121)
    | ~ spl0_59
    | spl0_106
    | spl0_107 ),
    inference(subsumption_resolution,[],[f2936,f778]) ).

fof(f778,plain,
    ( ~ c2_1(a121)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f2936,plain,
    ( c0_1(a121)
    | c2_1(a121)
    | ~ spl0_59
    | spl0_106 ),
    inference(resolution,[],[f516,f773]) ).

fof(f773,plain,
    ( ~ c3_1(a121)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f2852,plain,
    ( ~ spl0_33
    | spl0_94
    | ~ spl0_96
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2851]) ).

fof(f2851,plain,
    ( $false
    | ~ spl0_33
    | spl0_94
    | ~ spl0_96
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2850,f719]) ).

fof(f719,plain,
    ( c1_1(a130)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f717,plain,
    ( spl0_96
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2850,plain,
    ( ~ c1_1(a130)
    | ~ spl0_33
    | spl0_94
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2849,f709]) ).

fof(f709,plain,
    ( ~ c2_1(a130)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_94
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2849,plain,
    ( c2_1(a130)
    | ~ c1_1(a130)
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f2235,f393]) ).

fof(f393,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_33
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2235,plain,
    ( c0_1(a130)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f2233]) ).

fof(f2233,plain,
    ( spl0_165
  <=> c0_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2811,plain,
    ( spl0_165
    | ~ spl0_52
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2810,f717,f712,f481,f2233]) ).

fof(f481,plain,
    ( spl0_52
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f712,plain,
    ( spl0_95
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2810,plain,
    ( c0_1(a130)
    | ~ spl0_52
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2787,f719]) ).

fof(f2787,plain,
    ( c0_1(a130)
    | ~ c1_1(a130)
    | ~ spl0_52
    | ~ spl0_95 ),
    inference(resolution,[],[f482,f714]) ).

fof(f714,plain,
    ( c3_1(a130)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f482,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f2776,plain,
    ( ~ spl0_159
    | ~ spl0_51
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2768,f989,f984,f475,f1560]) ).

fof(f1560,plain,
    ( spl0_159
  <=> c3_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f475,plain,
    ( spl0_51
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f984,plain,
    ( spl0_146
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2768,plain,
    ( ~ c3_1(a99)
    | ~ spl0_51
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2755,f986]) ).

fof(f986,plain,
    ( ~ c0_1(a99)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f2755,plain,
    ( c0_1(a99)
    | ~ c3_1(a99)
    | ~ spl0_51
    | ~ spl0_147 ),
    inference(resolution,[],[f476,f991]) ).

fof(f476,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c3_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f2722,plain,
    ( ~ spl0_33
    | ~ spl0_47
    | spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_47
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2710,f1018]) ).

fof(f1018,plain,
    ( ~ c2_1(a97)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl0_152
  <=> c2_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2710,plain,
    ( c2_1(a97)
    | ~ spl0_33
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f2706,f1023]) ).

fof(f1023,plain,
    ( c0_1(a97)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl0_153
  <=> c0_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2706,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f456,f393]) ).

fof(f2705,plain,
    ( ~ spl0_116
    | spl0_115
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2615,f829,f392,f819,f824]) ).

fof(f824,plain,
    ( spl0_116
  <=> c1_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f819,plain,
    ( spl0_115
  <=> c2_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f829,plain,
    ( spl0_117
  <=> c0_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2615,plain,
    ( c2_1(a113)
    | ~ c1_1(a113)
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(resolution,[],[f393,f831]) ).

fof(f831,plain,
    ( c0_1(a113)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f2702,plain,
    ( spl0_79
    | ~ spl0_40
    | ~ spl0_48
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2694,f632,f463,f424,f627]) ).

fof(f627,plain,
    ( spl0_79
  <=> c3_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f424,plain,
    ( spl0_40
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f632,plain,
    ( spl0_80
  <=> c1_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2694,plain,
    ( c3_1(a147)
    | ~ spl0_40
    | ~ spl0_48
    | spl0_80 ),
    inference(resolution,[],[f2683,f634]) ).

fof(f634,plain,
    ( ~ c1_1(a147)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f2683,plain,
    ( ! [X50] :
        ( c1_1(X50)
        | c3_1(X50) )
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f464,f425]) ).

fof(f425,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f2661,plain,
    ( spl0_159
    | ~ spl0_40
    | spl0_145
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2649,f989,f979,f424,f1560]) ).

fof(f2649,plain,
    ( c3_1(a99)
    | ~ spl0_40
    | spl0_145
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2636,f981]) ).

fof(f2636,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(resolution,[],[f425,f991]) ).

fof(f2599,plain,
    ( ~ spl0_28
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2598]) ).

fof(f2598,plain,
    ( $false
    | ~ spl0_28
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2597,f954]) ).

fof(f954,plain,
    ( c2_1(a103)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl0_140
  <=> c2_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2597,plain,
    ( ~ c2_1(a103)
    | ~ spl0_28
    | spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2585,f949]) ).

fof(f949,plain,
    ( ~ c3_1(a103)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl0_139
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2585,plain,
    ( c3_1(a103)
    | ~ c2_1(a103)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f368,f959]) ).

fof(f959,plain,
    ( c0_1(a103)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_141
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f368,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_28
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2576,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2575]) ).

fof(f2575,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2565,f565]) ).

fof(f565,plain,
    ( c2_1(a137)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f563,plain,
    ( spl0_67
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2565,plain,
    ( ~ c2_1(a137)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(resolution,[],[f2543,f575]) ).

fof(f575,plain,
    ( c0_1(a137)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_69
  <=> c0_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2543,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f360,f414]) ).

fof(f360,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2570,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2569]) ).

fof(f2569,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2558,f954]) ).

fof(f2558,plain,
    ( ~ c2_1(a103)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(resolution,[],[f2543,f959]) ).

fof(f2442,plain,
    ( ~ spl0_90
    | ~ spl0_46
    | spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2441,f680,f675,f450,f685]) ).

fof(f685,plain,
    ( spl0_90
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f450,plain,
    ( spl0_46
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f675,plain,
    ( spl0_88
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f680,plain,
    ( spl0_89
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2441,plain,
    ( ~ c3_1(a136)
    | ~ spl0_46
    | spl0_88
    | spl0_89 ),
    inference(subsumption_resolution,[],[f2430,f677]) ).

fof(f677,plain,
    ( ~ c2_1(a136)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f2430,plain,
    ( ~ c3_1(a136)
    | c2_1(a136)
    | ~ spl0_46
    | spl0_89 ),
    inference(resolution,[],[f451,f682]) ).

fof(f682,plain,
    ( ~ c1_1(a136)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f451,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | ~ c3_1(X38)
        | c2_1(X38) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f2419,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | ~ spl0_44
    | spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2418]) ).

fof(f2418,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_44
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2416,f1023]) ).

fof(f2416,plain,
    ( ~ c0_1(a97)
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_44
    | spl0_152
    | ~ spl0_153 ),
    inference(resolution,[],[f2315,f2399]) ).

fof(f2399,plain,
    ( ! [X34] :
        ( c1_1(X34)
        | ~ c0_1(X34) )
    | ~ spl0_37
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f443,f410]) ).

fof(f410,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_37
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f443,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c3_1(X34) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_44
  <=> ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c3_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2315,plain,
    ( ~ c1_1(a97)
    | ~ spl0_33
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2303,f1018]) ).

fof(f2303,plain,
    ( c2_1(a97)
    | ~ c1_1(a97)
    | ~ spl0_33
    | ~ spl0_153 ),
    inference(resolution,[],[f393,f1023]) ).

fof(f2340,plain,
    ( ~ spl0_34
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

fof(f2339,plain,
    ( $false
    | ~ spl0_34
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2338,f1013]) ).

fof(f1013,plain,
    ( ~ c3_1(a97)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1011,plain,
    ( spl0_151
  <=> c3_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2338,plain,
    ( c3_1(a97)
    | ~ spl0_34
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2326,f1018]) ).

fof(f2326,plain,
    ( c2_1(a97)
    | c3_1(a97)
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(resolution,[],[f397,f1023]) ).

fof(f397,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl0_34
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2301,plain,
    ( ~ spl0_24
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2300]) ).

fof(f2300,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2293,f975]) ).

fof(f975,plain,
    ( c2_1(a100)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_144
  <=> c2_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2293,plain,
    ( ~ c2_1(a100)
    | ~ spl0_24
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(resolution,[],[f2289,f970]) ).

fof(f970,plain,
    ( c3_1(a100)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_143
  <=> c3_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2289,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_24
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f476,f352]) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2284,plain,
    ( ~ spl0_44
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | ~ spl0_44
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2282,f997]) ).

fof(f997,plain,
    ( ~ c3_1(a98)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f995,plain,
    ( spl0_148
  <=> c3_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2282,plain,
    ( c3_1(a98)
    | ~ spl0_44
    | spl0_149
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2272,f1002]) ).

fof(f1002,plain,
    ( ~ c1_1(a98)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl0_149
  <=> c1_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2272,plain,
    ( c1_1(a98)
    | c3_1(a98)
    | ~ spl0_44
    | ~ spl0_150 ),
    inference(resolution,[],[f443,f1007]) ).

fof(f1007,plain,
    ( c0_1(a98)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl0_150
  <=> c0_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2268,plain,
    ( ~ spl0_45
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2267,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f2266,f586]) ).

fof(f586,plain,
    ( c1_1(a101)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f584,plain,
    ( spl0_71
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2266,plain,
    ( ~ c1_1(a101)
    | ~ spl0_45
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f2264,f591]) ).

fof(f591,plain,
    ( c0_1(a101)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f589,plain,
    ( spl0_72
  <=> c0_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2264,plain,
    ( ~ c0_1(a101)
    | ~ c1_1(a101)
    | ~ spl0_45
    | ~ spl0_70 ),
    inference(resolution,[],[f446,f581]) ).

fof(f581,plain,
    ( c3_1(a101)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl0_70
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f446,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | ~ c0_1(X33)
        | ~ c1_1(X33) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_45
  <=> ! [X33] :
        ( ~ c3_1(X33)
        | ~ c0_1(X33)
        | ~ c1_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2231,plain,
    ( spl0_94
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2230,f717,f712,f379,f707]) ).

fof(f379,plain,
    ( spl0_30
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2230,plain,
    ( c2_1(a130)
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2210,f714]) ).

fof(f2210,plain,
    ( c2_1(a130)
    | ~ c3_1(a130)
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(resolution,[],[f380,f719]) ).

fof(f380,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f2190,plain,
    ( ~ spl0_125
    | ~ spl0_53
    | spl0_124
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2189,f877,f867,f485,f872]) ).

fof(f872,plain,
    ( spl0_125
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f485,plain,
    ( spl0_53
  <=> ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f867,plain,
    ( spl0_124
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f877,plain,
    ( spl0_126
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2189,plain,
    ( ~ c2_1(a108)
    | ~ spl0_53
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2019,f869]) ).

fof(f869,plain,
    ( ~ c0_1(a108)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f2019,plain,
    ( c0_1(a108)
    | ~ c2_1(a108)
    | ~ spl0_53
    | ~ spl0_126 ),
    inference(resolution,[],[f486,f879]) ).

fof(f879,plain,
    ( c1_1(a108)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f486,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | c0_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f2125,plain,
    ( ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f2124]) ).

fof(f2124,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f2112,f586]) ).

fof(f2112,plain,
    ( ~ c1_1(a101)
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70 ),
    inference(resolution,[],[f2054,f581]) ).

fof(f2054,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f380,f439]) ).

fof(f439,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | ~ c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_43
  <=> ! [X30] :
        ( ~ c3_1(X30)
        | ~ c1_1(X30)
        | ~ c2_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2045,plain,
    ( spl0_103
    | ~ spl0_34
    | ~ spl0_46
    | ~ spl0_59
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1958,f760,f515,f450,f396,f755]) ).

fof(f755,plain,
    ( spl0_103
  <=> c2_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f760,plain,
    ( spl0_104
  <=> c1_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1958,plain,
    ( c2_1(a122)
    | ~ spl0_34
    | ~ spl0_46
    | ~ spl0_59
    | spl0_104 ),
    inference(resolution,[],[f1940,f762]) ).

fof(f762,plain,
    ( ~ c1_1(a122)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1940,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_34
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f451,f1897]) ).

fof(f1897,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c2_1(X86) )
    | ~ spl0_34
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f516,f397]) ).

fof(f2039,plain,
    ( ~ spl0_34
    | ~ spl0_53
    | ~ spl0_59
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_53
    | ~ spl0_59
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f2037,f1912]) ).

fof(f1912,plain,
    ( c2_1(a173)
    | ~ spl0_34
    | ~ spl0_59
    | spl0_76 ),
    inference(resolution,[],[f1897,f613]) ).

fof(f613,plain,
    ( ~ c3_1(a173)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_76
  <=> c3_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2037,plain,
    ( ~ c2_1(a173)
    | ~ spl0_53
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f2028,f618]) ).

fof(f618,plain,
    ( ~ c0_1(a173)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f616,plain,
    ( spl0_77
  <=> c0_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2028,plain,
    ( c0_1(a173)
    | ~ c2_1(a173)
    | ~ spl0_53
    | ~ spl0_78 ),
    inference(resolution,[],[f486,f623]) ).

fof(f623,plain,
    ( c1_1(a173)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl0_78
  <=> c1_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1939,plain,
    ( ~ spl0_156
    | ~ spl0_24
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1936,f573,f563,f351,f1313]) ).

fof(f1313,plain,
    ( spl0_156
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1936,plain,
    ( ~ c3_1(a137)
    | ~ spl0_24
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1935,f575]) ).

fof(f1935,plain,
    ( ~ c0_1(a137)
    | ~ c3_1(a137)
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(resolution,[],[f352,f565]) ).

fof(f1900,plain,
    ( spl0_156
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1899,f573,f568,f371,f1313]) ).

fof(f371,plain,
    ( spl0_29
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f568,plain,
    ( spl0_68
  <=> c1_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1899,plain,
    ( c3_1(a137)
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1898,f575]) ).

fof(f1898,plain,
    ( c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_29
    | ~ spl0_68 ),
    inference(resolution,[],[f570,f372]) ).

fof(f372,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f570,plain,
    ( c1_1(a137)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1896,plain,
    ( ~ spl0_156
    | ~ spl0_24
    | ~ spl0_51
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1857,f563,f475,f351,f1313]) ).

fof(f1857,plain,
    ( ~ c3_1(a137)
    | ~ spl0_24
    | ~ spl0_51
    | ~ spl0_67 ),
    inference(resolution,[],[f1850,f565]) ).

fof(f1850,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_24
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f352,f476]) ).

fof(f1894,plain,
    ( ~ spl0_24
    | ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1893]) ).

fof(f1893,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1885,f837]) ).

fof(f837,plain,
    ( ~ c1_1(a112)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl0_118
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1885,plain,
    ( c1_1(a112)
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_120 ),
    inference(resolution,[],[f1881,f847]) ).

fof(f847,plain,
    ( c3_1(a112)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_120
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1881,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c1_1(X38) )
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f451,f1850]) ).

fof(f1847,plain,
    ( ~ spl0_28
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1842,f735]) ).

fof(f735,plain,
    ( c0_1(a129)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_99
  <=> c0_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1842,plain,
    ( ~ c0_1(a129)
    | ~ spl0_28
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_98 ),
    inference(resolution,[],[f1838,f730]) ).

fof(f730,plain,
    ( c2_1(a129)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f728,plain,
    ( spl0_98
  <=> c2_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1838,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_28
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f368,f1821]) ).

fof(f1821,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c3_1(X30) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f439,f402]) ).

fof(f402,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c1_1(X16)
        | ~ c3_1(X16) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl0_35
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | c1_1(X16)
        | ~ c2_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1818,plain,
    ( ~ spl0_35
    | ~ spl0_40
    | spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f1817]) ).

fof(f1817,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_40
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1811,f730]) ).

fof(f1811,plain,
    ( ~ c2_1(a129)
    | ~ spl0_35
    | ~ spl0_40
    | spl0_97 ),
    inference(resolution,[],[f1803,f725]) ).

fof(f725,plain,
    ( ~ c1_1(a129)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f723,plain,
    ( spl0_97
  <=> c1_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1803,plain,
    ( ! [X27] :
        ( c1_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_35
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f425,f402]) ).

fof(f1796,plain,
    ( ~ spl0_29
    | ~ spl0_45
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1795]) ).

fof(f1795,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1785,f826]) ).

fof(f826,plain,
    ( c1_1(a113)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f1785,plain,
    ( ~ c1_1(a113)
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f1781,f831]) ).

fof(f1781,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | ~ c1_1(X33) )
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f446,f372]) ).

fof(f1775,plain,
    ( ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | spl0_115
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | spl0_115
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1767,f821]) ).

fof(f821,plain,
    ( ~ c2_1(a113)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f1767,plain,
    ( c2_1(a113)
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f1760,f831]) ).

fof(f1760,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12) )
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f385,f1108]) ).

fof(f1108,plain,
    ( ! [X34] :
        ( c3_1(X34)
        | ~ c0_1(X34) )
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f443,f372]) ).

fof(f385,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1758,plain,
    ( spl0_130
    | ~ spl0_51
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1757,f909,f904,f475,f899]) ).

fof(f899,plain,
    ( spl0_130
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f904,plain,
    ( spl0_131
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f909,plain,
    ( spl0_132
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1757,plain,
    ( c0_1(a106)
    | ~ spl0_51
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1742,f906]) ).

fof(f906,plain,
    ( c3_1(a106)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1742,plain,
    ( c0_1(a106)
    | ~ c3_1(a106)
    | ~ spl0_51
    | ~ spl0_132 ),
    inference(resolution,[],[f476,f911]) ).

fof(f911,plain,
    ( c2_1(a106)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f1690,plain,
    ( ~ spl0_49
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1689]) ).

fof(f1689,plain,
    ( $false
    | ~ spl0_49
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1688,f853]) ).

fof(f853,plain,
    ( ~ c3_1(a110)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f851,plain,
    ( spl0_121
  <=> c3_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1688,plain,
    ( c3_1(a110)
    | ~ spl0_49
    | spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1676,f858]) ).

fof(f858,plain,
    ( ~ c2_1(a110)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f856,plain,
    ( spl0_122
  <=> c2_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1676,plain,
    ( c2_1(a110)
    | c3_1(a110)
    | ~ spl0_49
    | ~ spl0_123 ),
    inference(resolution,[],[f469,f863]) ).

fof(f863,plain,
    ( c1_1(a110)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl0_123
  <=> c1_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f469,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c2_1(X54)
        | c3_1(X54) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_49
  <=> ! [X54] :
        ( ~ c1_1(X54)
        | c2_1(X54)
        | c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1646,plain,
    ( ~ spl0_156
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1639,f563,f438,f401,f1313]) ).

fof(f1639,plain,
    ( ~ c3_1(a137)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_67 ),
    inference(resolution,[],[f1630,f565]) ).

fof(f1630,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c3_1(X30) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f439,f402]) ).

fof(f1605,plain,
    ( ~ spl0_35
    | ~ spl0_46
    | spl0_118
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_46
    | spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1598,f847]) ).

fof(f1598,plain,
    ( ~ c3_1(a112)
    | ~ spl0_35
    | ~ spl0_46
    | spl0_118 ),
    inference(resolution,[],[f1590,f837]) ).

fof(f1590,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f451,f402]) ).

fof(f1589,plain,
    ( ~ spl0_99
    | ~ spl0_29
    | ~ spl0_44
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1584,f1529,f442,f371,f733]) ).

fof(f1529,plain,
    ( spl0_158
  <=> c3_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1584,plain,
    ( ~ c0_1(a129)
    | ~ spl0_29
    | ~ spl0_44
    | spl0_158 ),
    inference(resolution,[],[f1531,f1108]) ).

fof(f1531,plain,
    ( ~ c3_1(a129)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1529]) ).

fof(f1532,plain,
    ( ~ spl0_158
    | spl0_97
    | ~ spl0_35
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1498,f728,f401,f723,f1529]) ).

fof(f1498,plain,
    ( c1_1(a129)
    | ~ c3_1(a129)
    | ~ spl0_35
    | ~ spl0_98 ),
    inference(resolution,[],[f402,f730]) ).

fof(f1484,plain,
    ( ~ spl0_38
    | spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | ~ spl0_38
    | spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1482,f735]) ).

fof(f1482,plain,
    ( ~ c0_1(a129)
    | ~ spl0_38
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1477,f730]) ).

fof(f1477,plain,
    ( ~ c2_1(a129)
    | ~ c0_1(a129)
    | ~ spl0_38
    | spl0_97 ),
    inference(resolution,[],[f414,f725]) ).

fof(f1341,plain,
    ( ~ spl0_141
    | ~ spl0_29
    | ~ spl0_44
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1339,f947,f442,f371,f957]) ).

fof(f1339,plain,
    ( ~ c0_1(a103)
    | ~ spl0_29
    | ~ spl0_44
    | spl0_139 ),
    inference(resolution,[],[f949,f1108]) ).

fof(f1336,plain,
    ( ~ spl0_135
    | ~ spl0_50
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1335,f920,f915,f471,f925]) ).

fof(f925,plain,
    ( spl0_135
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f471,plain,
    ( spl0_50
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | c3_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f915,plain,
    ( spl0_133
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f920,plain,
    ( spl0_134
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1335,plain,
    ( ~ c1_1(a105)
    | ~ spl0_50
    | spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1332,f917]) ).

fof(f917,plain,
    ( ~ c3_1(a105)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1332,plain,
    ( c3_1(a105)
    | ~ c1_1(a105)
    | ~ spl0_50
    | ~ spl0_134 ),
    inference(resolution,[],[f922,f472]) ).

fof(f472,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c3_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f922,plain,
    ( c2_1(a105)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f1319,plain,
    ( ~ spl0_69
    | ~ spl0_24
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1318,f563,f442,f371,f351,f573]) ).

fof(f1318,plain,
    ( ~ c0_1(a137)
    | ~ spl0_24
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1311,f1108]) ).

fof(f1311,plain,
    ( ~ c0_1(a137)
    | ~ c3_1(a137)
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(resolution,[],[f565,f352]) ).

fof(f1300,plain,
    ( ~ spl0_29
    | ~ spl0_44
    | ~ spl0_59
    | spl0_91
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_59
    | spl0_91
    | spl0_92 ),
    inference(subsumption_resolution,[],[f1288,f698]) ).

fof(f698,plain,
    ( ~ c2_1(a132)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1288,plain,
    ( c2_1(a132)
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_59
    | spl0_91 ),
    inference(resolution,[],[f1278,f693]) ).

fof(f1278,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c2_1(X86) )
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f516,f1108]) ).

fof(f1294,plain,
    ( ~ spl0_29
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_59
    | spl0_109
    | spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1293]) ).

fof(f1293,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_59
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f1284,f789]) ).

fof(f789,plain,
    ( ~ c2_1(a120)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl0_109
  <=> c2_1(a120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1284,plain,
    ( c2_1(a120)
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_59
    | spl0_109
    | spl0_110 ),
    inference(resolution,[],[f1278,f1258]) ).

fof(f1258,plain,
    ( ~ c3_1(a120)
    | ~ spl0_46
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f1253,f789]) ).

fof(f1253,plain,
    ( ~ c3_1(a120)
    | c2_1(a120)
    | ~ spl0_46
    | spl0_110 ),
    inference(resolution,[],[f451,f794]) ).

fof(f794,plain,
    ( ~ c1_1(a120)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl0_110
  <=> c1_1(a120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1195,plain,
    ( ~ spl0_57
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1194,plain,
    ( $false
    | ~ spl0_57
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1193,f885]) ).

fof(f885,plain,
    ( ~ c2_1(a107)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl0_127
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1193,plain,
    ( c2_1(a107)
    | ~ spl0_57
    | spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1186,f890]) ).

fof(f890,plain,
    ( ~ c0_1(a107)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl0_128
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1186,plain,
    ( c0_1(a107)
    | c2_1(a107)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f504,f895]) ).

fof(f895,plain,
    ( c3_1(a107)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_129
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f504,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f503,plain,
    ( spl0_57
  <=> ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1180,plain,
    ( ~ spl0_29
    | ~ spl0_44
    | ~ spl0_54
    | spl0_100
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1179]) ).

fof(f1179,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_54
    | spl0_100
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1176,f741]) ).

fof(f741,plain,
    ( ~ c3_1(a124)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl0_100
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1176,plain,
    ( c3_1(a124)
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_54
    | ~ spl0_102 ),
    inference(resolution,[],[f1174,f751]) ).

fof(f751,plain,
    ( c2_1(a124)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl0_102
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1174,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c3_1(X70) )
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f1108]) ).

fof(f492,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c3_1(X70) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl0_54
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1107,plain,
    ( ~ spl0_40
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | ~ spl0_40
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1105,f741]) ).

fof(f1105,plain,
    ( c3_1(a124)
    | ~ spl0_40
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1103,f746]) ).

fof(f746,plain,
    ( ~ c1_1(a124)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f744,plain,
    ( spl0_101
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1103,plain,
    ( c1_1(a124)
    | c3_1(a124)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f425,f751]) ).

fof(f1095,plain,
    ( ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1094]) ).

fof(f1094,plain,
    ( $false
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1093,f1053]) ).

fof(f1053,plain,
    ( c3_1(a113)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1051,plain,
    ( spl0_154
  <=> c3_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1093,plain,
    ( ~ c3_1(a113)
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1090,f821]) ).

fof(f1090,plain,
    ( c2_1(a113)
    | ~ c3_1(a113)
    | ~ spl0_30
    | ~ spl0_116 ),
    inference(resolution,[],[f380,f826]) ).

fof(f1069,plain,
    ( ~ spl0_24
    | ~ spl0_31
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1061,f591]) ).

fof(f1061,plain,
    ( ~ c0_1(a101)
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(resolution,[],[f1055,f581]) ).

fof(f1055,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_24
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f385,f352]) ).

fof(f1054,plain,
    ( ~ spl0_117
    | spl0_154
    | ~ spl0_29
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1049,f824,f371,f1051,f829]) ).

fof(f1049,plain,
    ( c3_1(a113)
    | ~ c0_1(a113)
    | ~ spl0_29
    | ~ spl0_116 ),
    inference(resolution,[],[f826,f372]) ).

fof(f1048,plain,
    ( ~ spl0_114
    | ~ spl0_29
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1045,f808,f803,f371,f813]) ).

fof(f813,plain,
    ( spl0_114
  <=> c0_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f803,plain,
    ( spl0_112
  <=> c3_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f808,plain,
    ( spl0_113
  <=> c1_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1045,plain,
    ( ~ c0_1(a116)
    | ~ spl0_29
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1044,f805]) ).

fof(f805,plain,
    ( ~ c3_1(a116)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1044,plain,
    ( c3_1(a116)
    | ~ c0_1(a116)
    | ~ spl0_29
    | ~ spl0_113 ),
    inference(resolution,[],[f372,f810]) ).

fof(f810,plain,
    ( c1_1(a116)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f1032,plain,
    ( ~ spl0_24
    | ~ spl0_28
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1031]) ).

fof(f1031,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_28
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1030,f735]) ).

fof(f1030,plain,
    ( ~ c0_1(a129)
    | ~ spl0_24
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(resolution,[],[f1029,f730]) ).

fof(f1029,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f368,f352]) ).

fof(f1024,plain,
    ( ~ spl0_8
    | spl0_153 ),
    inference(avatar_split_clause,[],[f8,f1021,f279]) ).

fof(f279,plain,
    ( spl0_8
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f8,plain,
    ( c0_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c1_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | c3_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c1_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | c3_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp6
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp11
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp19
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp1
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp24
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp28
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp20
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp4
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp15
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp1
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp0
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c0_1(X63)
            | c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp15
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp11
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp10
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | ~ c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp10
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c1_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp12
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp10
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp8
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp1
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp27
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c2_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c1_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c3_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | c3_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c2_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | c3_1(X118)
            | c0_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp15
          | hskp8
          | hskp19 )
        & ( hskp8
          | hskp10
          | hskp16 )
        & ( hskp15
          | hskp6
          | hskp16 )
        & ( hskp15
          | hskp8
          | hskp22 )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp5
          | hskp25
          | hskp26 )
        & ( hskp17
          | hskp19
          | hskp18 )
        & ( hskp20
          | hskp4
          | hskp18 )
        & ( hskp8
          | hskp18
          | hskp13 )
        & ( hskp13
          | hskp12 )
        & ( hskp2
          | hskp9
          | hskp27 )
        & ( hskp22
          | hskp4
          | hskp28 )
        & ( hskp9
          | hskp1
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp29
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp16
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp6
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp8
          | hskp18
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp0
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp27
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp11
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp7
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp20
          | hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp2
          | hskp16
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp11
          | hskp18
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp17
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp19
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp7
          | hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp1
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp24
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp17
          | hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp19
          | hskp1
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp21
          | hskp22
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp6
          | hskp22
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp28
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp21
          | hskp2
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp20
          | hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp20
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp4
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp19
          | hskp18
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp17
          | hskp9
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp1
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp0
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp15
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp11
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp5
          | hskp13
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp10
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp11
          | hskp5
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp10
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp6
          | hskp9
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp7
          | hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp5
          | hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp1
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c2_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c1_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c3_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp2
          | hskp1
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c2_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | c3_1(X118)
                | c0_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ( c3_1(a166)
            & c2_1(a166)
            & c0_1(a166)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a137)
            & c1_1(a137)
            & c0_1(a137)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a101)
            & c1_1(a101)
            & c0_1(a101)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a195)
            & c3_1(a195)
            & c0_1(a195)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a173)
            & ~ c0_1(a173)
            & c1_1(a173)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & ~ c0_1(a147)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a145)
            & c3_1(a145)
            & c1_1(a145)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a138)
            & c3_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a136)
            & ~ c1_1(a136)
            & c3_1(a136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a132)
            & ~ c2_1(a132)
            & ~ c1_1(a132)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a130)
            & c3_1(a130)
            & c1_1(a130)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a129)
            & c2_1(a129)
            & c0_1(a129)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a124)
            & ~ c1_1(a124)
            & c2_1(a124)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a122)
            & ~ c1_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a121)
            & ~ c2_1(a121)
            & ~ c0_1(a121)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a120)
            & ~ c1_1(a120)
            & ~ c0_1(a120)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a116)
            & c1_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & c1_1(a113)
            & c0_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a112)
            & ~ c0_1(a112)
            & c3_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a110)
            & ~ c2_1(a110)
            & c1_1(a110)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a108)
            & c2_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a107)
            & ~ c0_1(a107)
            & c3_1(a107)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a106)
            & c3_1(a106)
            & c2_1(a106)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a105)
            & c2_1(a105)
            & c1_1(a105)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a104)
            & ~ c0_1(a104)
            & c2_1(a104)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a103)
            & c2_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a100)
            & c3_1(a100)
            & c2_1(a100)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a99)
            & ~ c0_1(a99)
            & c2_1(a99)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a98)
            & ~ c1_1(a98)
            & c0_1(a98)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a97)
            & ~ c2_1(a97)
            & c0_1(a97)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp15
          | hskp8
          | hskp19 )
        & ( hskp8
          | hskp10
          | hskp16 )
        & ( hskp15
          | hskp6
          | hskp16 )
        & ( hskp15
          | hskp8
          | hskp22 )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp5
          | hskp25
          | hskp26 )
        & ( hskp17
          | hskp19
          | hskp18 )
        & ( hskp20
          | hskp4
          | hskp18 )
        & ( hskp8
          | hskp18
          | hskp13 )
        & ( hskp13
          | hskp12 )
        & ( hskp2
          | hskp9
          | hskp27 )
        & ( hskp22
          | hskp4
          | hskp28 )
        & ( hskp9
          | hskp1
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp29
          | hskp27
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp25
          | hskp16
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp6
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp8
          | hskp18
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp0
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp19
          | hskp27
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c3_1(X113) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp11
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp7
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp20
          | hskp7
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp2
          | hskp16
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp11
          | hskp18
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp17
          | hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp19
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp7
          | hskp4
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp1
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp24
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp17
          | hskp23
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp21
          | hskp22
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp18
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp6
          | hskp22
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp28
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp2
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp20
          | hskp6
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp20
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp4
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp17
          | hskp9
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp17
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp0
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp16
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp11
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp5
          | hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp10
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp12
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp5
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | hskp9
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp7
          | hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp1
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp27
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c3_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a166)
            & c2_1(a166)
            & c0_1(a166)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a137)
            & c1_1(a137)
            & c0_1(a137)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a101)
            & c1_1(a101)
            & c0_1(a101)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a195)
            & c3_1(a195)
            & c0_1(a195)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a173)
            & ~ c0_1(a173)
            & c1_1(a173)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & ~ c0_1(a147)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a145)
            & c3_1(a145)
            & c1_1(a145)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a138)
            & c3_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a136)
            & ~ c1_1(a136)
            & c3_1(a136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a132)
            & ~ c2_1(a132)
            & ~ c1_1(a132)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a130)
            & c3_1(a130)
            & c1_1(a130)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a129)
            & c2_1(a129)
            & c0_1(a129)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a124)
            & ~ c1_1(a124)
            & c2_1(a124)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a122)
            & ~ c1_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a121)
            & ~ c2_1(a121)
            & ~ c0_1(a121)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a120)
            & ~ c1_1(a120)
            & ~ c0_1(a120)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a116)
            & c1_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & c1_1(a113)
            & c0_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a112)
            & ~ c0_1(a112)
            & c3_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a110)
            & ~ c2_1(a110)
            & c1_1(a110)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a108)
            & c2_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a107)
            & ~ c0_1(a107)
            & c3_1(a107)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a106)
            & c3_1(a106)
            & c2_1(a106)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a105)
            & c2_1(a105)
            & c1_1(a105)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a104)
            & ~ c0_1(a104)
            & c2_1(a104)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a103)
            & c2_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a100)
            & c3_1(a100)
            & c2_1(a100)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a99)
            & ~ c0_1(a99)
            & c2_1(a99)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a98)
            & ~ c1_1(a98)
            & c0_1(a98)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a97)
            & ~ c2_1(a97)
            & c0_1(a97)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp15
        | hskp8
        | hskp19 )
      & ( hskp8
        | hskp10
        | hskp16 )
      & ( hskp15
        | hskp6
        | hskp16 )
      & ( hskp15
        | hskp8
        | hskp22 )
      & ( hskp11
        | hskp0
        | hskp22 )
      & ( hskp5
        | hskp25
        | hskp26 )
      & ( hskp17
        | hskp19
        | hskp18 )
      & ( hskp20
        | hskp4
        | hskp18 )
      & ( hskp8
        | hskp18
        | hskp13 )
      & ( hskp13
        | hskp12 )
      & ( hskp2
        | hskp9
        | hskp27 )
      & ( hskp22
        | hskp4
        | hskp28 )
      & ( hskp9
        | hskp1
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp29
        | hskp27
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp25
        | hskp16
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp6
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp0
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp8
        | hskp18
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp0
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp19
        | hskp27
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c3_1(X113) ) ) )
      & ( hskp2
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp11
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp7
        | hskp4
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp20
        | hskp7
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp2
        | hskp16
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp11
        | hskp18
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp17
        | hskp3
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp19
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp7
        | hskp4
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp1
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp24
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp17
        | hskp23
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp21
        | hskp22
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp18
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | c2_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp6
        | hskp22
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp28
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp2
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp20
        | hskp6
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp20
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp4
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp17
        | hskp9
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp1
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp17
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp0
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c3_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp16
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c0_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp15
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp11
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp5
        | hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp10
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp12
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp5
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c0_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c0_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | hskp9
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp8
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c2_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp7
        | hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp1
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c3_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp27
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c2_1(X14)
              | ~ c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c0_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c3_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c3_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a166)
          & c2_1(a166)
          & c0_1(a166)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a137)
          & c1_1(a137)
          & c0_1(a137)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a101)
          & c1_1(a101)
          & c0_1(a101)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a195)
          & c3_1(a195)
          & c0_1(a195)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a173)
          & ~ c0_1(a173)
          & c1_1(a173)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a147)
          & ~ c1_1(a147)
          & ~ c0_1(a147)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a145)
          & c3_1(a145)
          & c1_1(a145)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a138)
          & c3_1(a138)
          & c0_1(a138)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a136)
          & ~ c1_1(a136)
          & c3_1(a136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a132)
          & ~ c2_1(a132)
          & ~ c1_1(a132)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a130)
          & c3_1(a130)
          & c1_1(a130)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a129)
          & c2_1(a129)
          & c0_1(a129)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a124)
          & ~ c1_1(a124)
          & c2_1(a124)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a122)
          & ~ c1_1(a122)
          & c0_1(a122)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a121)
          & ~ c2_1(a121)
          & ~ c0_1(a121)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a120)
          & ~ c1_1(a120)
          & ~ c0_1(a120)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a116)
          & c1_1(a116)
          & c0_1(a116)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a113)
          & c1_1(a113)
          & c0_1(a113)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a112)
          & ~ c0_1(a112)
          & c3_1(a112)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a110)
          & ~ c2_1(a110)
          & c1_1(a110)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a108)
          & c2_1(a108)
          & c1_1(a108)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a107)
          & ~ c0_1(a107)
          & c3_1(a107)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a106)
          & c3_1(a106)
          & c2_1(a106)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a105)
          & c2_1(a105)
          & c1_1(a105)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a104)
          & ~ c0_1(a104)
          & c2_1(a104)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a103)
          & c2_1(a103)
          & c0_1(a103)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a100)
          & c3_1(a100)
          & c2_1(a100)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a99)
          & ~ c0_1(a99)
          & c2_1(a99)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a98)
          & ~ c1_1(a98)
          & c0_1(a98)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a97)
          & ~ c2_1(a97)
          & c0_1(a97)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1019,plain,
    ( ~ spl0_8
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9,f1016,f279]) ).

fof(f9,plain,
    ( ~ c2_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1014,plain,
    ( ~ spl0_8
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f10,f1011,f279]) ).

fof(f10,plain,
    ( ~ c3_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_25
    | spl0_150 ),
    inference(avatar_split_clause,[],[f12,f1005,f354]) ).

fof(f354,plain,
    ( spl0_25
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f12,plain,
    ( c0_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( ~ spl0_25
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f13,f1000,f354]) ).

fof(f13,plain,
    ( ~ c1_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f998,plain,
    ( ~ spl0_25
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f14,f995,f354]) ).

fof(f14,plain,
    ( ~ c3_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_21
    | spl0_147 ),
    inference(avatar_split_clause,[],[f16,f989,f337]) ).

fof(f337,plain,
    ( spl0_21
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f16,plain,
    ( c2_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_21
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f17,f984,f337]) ).

fof(f17,plain,
    ( ~ c0_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( ~ spl0_21
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f18,f979,f337]) ).

fof(f18,plain,
    ( ~ c1_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_36
    | spl0_144 ),
    inference(avatar_split_clause,[],[f20,f973,f404]) ).

fof(f404,plain,
    ( spl0_36
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f20,plain,
    ( c2_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_36
    | spl0_143 ),
    inference(avatar_split_clause,[],[f21,f968,f404]) ).

fof(f21,plain,
    ( c3_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f961,plain,
    ( ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f23,f347,f310]) ).

fof(f310,plain,
    ( spl0_15
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f347,plain,
    ( spl0_23
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

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

fof(f960,plain,
    ( ~ spl0_15
    | spl0_141 ),
    inference(avatar_split_clause,[],[f24,f957,f310]) ).

fof(f24,plain,
    ( c0_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_15
    | spl0_140 ),
    inference(avatar_split_clause,[],[f25,f952,f310]) ).

fof(f25,plain,
    ( c2_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_15
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f26,f947,f310]) ).

fof(f26,plain,
    ( ~ c3_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_6
    | spl0_135 ),
    inference(avatar_split_clause,[],[f32,f925,f269]) ).

fof(f269,plain,
    ( spl0_6
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f32,plain,
    ( c1_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_6
    | spl0_134 ),
    inference(avatar_split_clause,[],[f33,f920,f269]) ).

fof(f33,plain,
    ( c2_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f34,f915,f269]) ).

fof(f34,plain,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_32
    | spl0_132 ),
    inference(avatar_split_clause,[],[f36,f909,f387]) ).

fof(f387,plain,
    ( spl0_32
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f36,plain,
    ( c2_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_32
    | spl0_131 ),
    inference(avatar_split_clause,[],[f37,f904,f387]) ).

fof(f37,plain,
    ( c3_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_32
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f38,f899,f387]) ).

fof(f38,plain,
    ( ~ c0_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(avatar_split_clause,[],[f40,f893,f251]) ).

fof(f251,plain,
    ( spl0_2
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f40,plain,
    ( c3_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_2
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f41,f888,f251]) ).

fof(f41,plain,
    ( ~ c0_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f42,f883,f251]) ).

fof(f42,plain,
    ( ~ c2_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_20
    | spl0_126 ),
    inference(avatar_split_clause,[],[f44,f877,f333]) ).

fof(f333,plain,
    ( spl0_20
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f44,plain,
    ( c1_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_20
    | spl0_125 ),
    inference(avatar_split_clause,[],[f45,f872,f333]) ).

fof(f45,plain,
    ( c2_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_20
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f46,f867,f333]) ).

fof(f46,plain,
    ( ~ c0_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_5
    | spl0_123 ),
    inference(avatar_split_clause,[],[f48,f861,f264]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f48,plain,
    ( c1_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_5
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f49,f856,f264]) ).

fof(f49,plain,
    ( ~ c2_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f854,plain,
    ( ~ spl0_5
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f50,f851,f264]) ).

fof(f50,plain,
    ( ~ c3_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_9
    | spl0_120 ),
    inference(avatar_split_clause,[],[f52,f845,f283]) ).

fof(f283,plain,
    ( spl0_9
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f52,plain,
    ( c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f54,f835,f283]) ).

fof(f54,plain,
    ( ~ c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_18
    | spl0_117 ),
    inference(avatar_split_clause,[],[f56,f829,f324]) ).

fof(f324,plain,
    ( spl0_18
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f56,plain,
    ( c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_18
    | spl0_116 ),
    inference(avatar_split_clause,[],[f57,f824,f324]) ).

fof(f57,plain,
    ( c1_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_18
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f58,f819,f324]) ).

fof(f58,plain,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_17
    | spl0_114 ),
    inference(avatar_split_clause,[],[f60,f813,f319]) ).

fof(f319,plain,
    ( spl0_17
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f60,plain,
    ( c0_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( ~ spl0_17
    | spl0_113 ),
    inference(avatar_split_clause,[],[f61,f808,f319]) ).

fof(f61,plain,
    ( c1_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_17
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f62,f803,f319]) ).

fof(f62,plain,
    ( ~ c3_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_55
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f65,f792,f494]) ).

fof(f494,plain,
    ( spl0_55
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f65,plain,
    ( ~ c1_1(a120)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_55
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f66,f787,f494]) ).

fof(f66,plain,
    ( ~ c2_1(a120)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f68,f781,f255]) ).

fof(f255,plain,
    ( spl0_3
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f68,plain,
    ( ~ c0_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_3
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f69,f776,f255]) ).

fof(f69,plain,
    ( ~ c2_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f70,f771,f255]) ).

fof(f70,plain,
    ( ~ c3_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_4
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f73,f760,f260]) ).

fof(f260,plain,
    ( spl0_4
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f73,plain,
    ( ~ c1_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_4
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f74,f755,f260]) ).

fof(f74,plain,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_14
    | spl0_102 ),
    inference(avatar_split_clause,[],[f76,f749,f305]) ).

fof(f305,plain,
    ( spl0_14
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f76,plain,
    ( c2_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_14
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f77,f744,f305]) ).

fof(f77,plain,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f78,f739,f305]) ).

fof(f78,plain,
    ( ~ c3_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( ~ spl0_13
    | spl0_23 ),
    inference(avatar_split_clause,[],[f79,f347,f301]) ).

fof(f301,plain,
    ( spl0_13
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_13
    | spl0_99 ),
    inference(avatar_split_clause,[],[f80,f733,f301]) ).

fof(f80,plain,
    ( c0_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_13
    | spl0_98 ),
    inference(avatar_split_clause,[],[f81,f728,f301]) ).

fof(f81,plain,
    ( c2_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_13
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f82,f723,f301]) ).

fof(f82,plain,
    ( ~ c1_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_1
    | spl0_96 ),
    inference(avatar_split_clause,[],[f84,f717,f247]) ).

fof(f247,plain,
    ( spl0_1
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f84,plain,
    ( c1_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f715,plain,
    ( ~ spl0_1
    | spl0_95 ),
    inference(avatar_split_clause,[],[f85,f712,f247]) ).

fof(f85,plain,
    ( c3_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_1
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f86,f707,f247]) ).

fof(f86,plain,
    ( ~ c2_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( ~ spl0_16
    | spl0_23 ),
    inference(avatar_split_clause,[],[f87,f347,f314]) ).

fof(f314,plain,
    ( spl0_16
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f87,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_16
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f88,f701,f314]) ).

fof(f88,plain,
    ( ~ c1_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_16
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f89,f696,f314]) ).

fof(f89,plain,
    ( ~ c2_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( ~ spl0_16
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f90,f691,f314]) ).

fof(f90,plain,
    ( ~ c3_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_42
    | spl0_90 ),
    inference(avatar_split_clause,[],[f92,f685,f433]) ).

fof(f433,plain,
    ( spl0_42
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f92,plain,
    ( c3_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f683,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f93,f680,f433]) ).

fof(f93,plain,
    ( ~ c1_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_42
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f94,f675,f433]) ).

fof(f94,plain,
    ( ~ c2_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_39
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f105,f632,f418]) ).

fof(f418,plain,
    ( spl0_39
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f105,plain,
    ( ~ c1_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( ~ spl0_39
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f106,f627,f418]) ).

fof(f106,plain,
    ( ~ c3_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f624,plain,
    ( ~ spl0_11
    | spl0_78 ),
    inference(avatar_split_clause,[],[f108,f621,f292]) ).

fof(f292,plain,
    ( spl0_11
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f108,plain,
    ( c1_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f619,plain,
    ( ~ spl0_11
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f109,f616,f292]) ).

fof(f109,plain,
    ( ~ c0_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_11
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f110,f611,f292]) ).

fof(f110,plain,
    ( ~ c3_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_19
    | spl0_72 ),
    inference(avatar_split_clause,[],[f116,f589,f329]) ).

fof(f329,plain,
    ( spl0_19
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f116,plain,
    ( c0_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f587,plain,
    ( ~ spl0_19
    | spl0_71 ),
    inference(avatar_split_clause,[],[f117,f584,f329]) ).

fof(f117,plain,
    ( c1_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f582,plain,
    ( ~ spl0_19
    | spl0_70 ),
    inference(avatar_split_clause,[],[f118,f579,f329]) ).

fof(f118,plain,
    ( c3_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(avatar_split_clause,[],[f120,f573,f342]) ).

fof(f342,plain,
    ( spl0_22
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f120,plain,
    ( c0_1(a137)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_22
    | spl0_68 ),
    inference(avatar_split_clause,[],[f121,f568,f342]) ).

fof(f121,plain,
    ( c1_1(a137)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f566,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(avatar_split_clause,[],[f122,f563,f342]) ).

fof(f122,plain,
    ( c2_1(a137)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_61
    | ~ spl0_23
    | spl0_40
    | spl0_25 ),
    inference(avatar_split_clause,[],[f214,f354,f424,f347,f527]) ).

fof(f214,plain,
    ! [X101,X100] :
      ( hskp1
      | ~ c2_1(X100)
      | c3_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X101,X100] :
      ( hskp1
      | ~ c2_1(X100)
      | c3_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_59
    | spl0_51
    | ~ spl0_23
    | spl0_33 ),
    inference(avatar_split_clause,[],[f217,f392,f347,f475,f515]) ).

fof(f217,plain,
    ! [X90,X91,X89] :
      ( ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | ~ c3_1(X90)
      | ~ c2_1(X90)
      | c0_1(X90)
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X90,X91,X89] :
      ( ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | ~ c3_1(X90)
      | ~ c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( spl0_59
    | ~ spl0_23
    | spl0_30
    | spl0_5 ),
    inference(avatar_split_clause,[],[f218,f264,f379,f347,f515]) ).

fof(f218,plain,
    ! [X88,X87] :
      ( hskp10
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X88,X87] :
      ( hskp10
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_57
    | spl0_52
    | ~ spl0_23
    | spl0_46 ),
    inference(avatar_split_clause,[],[f223,f450,f347,f481,f503]) ).

fof(f223,plain,
    ! [X76,X74,X75] :
      ( ~ c3_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X76,X74,X75] :
      ( ~ c3_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( ~ spl0_23
    | spl0_54
    | spl0_25
    | spl0_55 ),
    inference(avatar_split_clause,[],[f151,f494,f354,f491,f347]) ).

fof(f151,plain,
    ! [X70] :
      ( hskp14
      | hskp1
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_53
    | ~ spl0_23
    | spl0_51
    | spl0_3 ),
    inference(avatar_split_clause,[],[f225,f255,f475,f347,f485]) ).

fof(f225,plain,
    ! [X68,X69] :
      ( hskp15
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X68,X69] :
      ( hskp15
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_53
    | spl0_33
    | ~ spl0_23
    | spl0_26 ),
    inference(avatar_split_clause,[],[f226,f359,f347,f392,f485]) ).

fof(f226,plain,
    ! [X65,X66,X67] :
      ( ~ c2_1(X65)
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X65,X66,X67] :
      ( ~ c2_1(X65)
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_53
    | ~ spl0_23
    | spl0_28
    | spl0_4 ),
    inference(avatar_split_clause,[],[f227,f260,f367,f347,f485]) ).

fof(f227,plain,
    ! [X63,X64] :
      ( hskp16
      | ~ c2_1(X63)
      | ~ c0_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X63,X64] :
      ( hskp16
      | ~ c2_1(X63)
      | ~ c0_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_51
    | ~ spl0_23
    | spl0_48
    | spl0_14 ),
    inference(avatar_split_clause,[],[f229,f305,f463,f347,f475]) ).

fof(f229,plain,
    ! [X59,X60] :
      ( hskp17
      | c3_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X59,X60] :
      ( hskp17
      | c3_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( ~ spl0_23
    | spl0_51
    | spl0_20
    | spl0_14 ),
    inference(avatar_split_clause,[],[f158,f305,f333,f475,f347]) ).

fof(f158,plain,
    ! [X56] :
      ( hskp17
      | hskp9
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_23
    | spl0_50 ),
    inference(avatar_split_clause,[],[f231,f471,f347,f468,f463]) ).

fof(f231,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c1_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c2_1(X54)
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c1_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_47
    | ~ spl0_23
    | spl0_37
    | spl0_16 ),
    inference(avatar_split_clause,[],[f235,f314,f409,f347,f455]) ).

fof(f235,plain,
    ! [X44,X43] :
      ( hskp20
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X44,X43] :
      ( hskp20
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( ~ spl0_23
    | spl0_47
    | spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f166,f433,f337,f455,f347]) ).

fof(f166,plain,
    ! [X41] :
      ( hskp21
      | hskp2
      | ~ c0_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_46
    | ~ spl0_23
    | spl0_33
    | spl0_22 ),
    inference(avatar_split_clause,[],[f236,f342,f392,f347,f450]) ).

fof(f236,plain,
    ! [X40,X39] :
      ( hskp28
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X40,X39] :
      ( hskp28
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_44
    | spl0_34
    | ~ spl0_23
    | spl0_30 ),
    inference(avatar_split_clause,[],[f237,f379,f347,f396,f442]) ).

fof(f237,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c3_1(X36)
      | c2_1(X36)
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c3_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_44
    | ~ spl0_23
    | spl0_45
    | spl0_13 ),
    inference(avatar_split_clause,[],[f238,f301,f445,f347,f442]) ).

fof(f238,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_40
    | spl0_38
    | ~ spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f239,f438,f347,f413,f424]) ).

fof(f239,plain,
    ! [X31,X32,X30] :
      ( ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X31,X32,X30] :
      ( ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( ~ spl0_23
    | spl0_40
    | spl0_25
    | spl0_1 ),
    inference(avatar_split_clause,[],[f173,f247,f354,f424,f347]) ).

fof(f173,plain,
    ! [X28] :
      ( hskp19
      | hskp1
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_38
    | spl0_35
    | ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f240,f351,f347,f401,f413]) ).

fof(f240,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( spl0_38
    | ~ spl0_23
    | spl0_31
    | spl0_39 ),
    inference(avatar_split_clause,[],[f241,f418,f384,f347,f413]) ).

fof(f241,plain,
    ! [X22,X23] :
      ( hskp24
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X22,X23] :
      ( hskp24
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( spl0_38
    | ~ spl0_23
    | spl0_29
    | spl0_25 ),
    inference(avatar_split_clause,[],[f242,f354,f371,f347,f413]) ).

fof(f242,plain,
    ! [X21,X20] :
      ( hskp1
      | ~ c1_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X21,X20] :
      ( hskp1
      | ~ c1_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( ~ spl0_23
    | spl0_38
    | spl0_15
    | spl0_32 ),
    inference(avatar_split_clause,[],[f178,f387,f310,f413,f347]) ).

fof(f178,plain,
    ! [X19] :
      ( hskp7
      | hskp4
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( ~ spl0_23
    | spl0_35
    | spl0_36
    | spl0_14 ),
    inference(avatar_split_clause,[],[f180,f305,f404,f401,f347]) ).

fof(f180,plain,
    ! [X16] :
      ( hskp17
      | hskp3
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( ~ spl0_23
    | spl0_31
    | spl0_15
    | spl0_32 ),
    inference(avatar_split_clause,[],[f184,f387,f310,f384,f347]) ).

fof(f184,plain,
    ! [X12] :
      ( hskp7
      | hskp4
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( spl0_30
    | ~ spl0_23
    | spl0_28
    | spl0_9 ),
    inference(avatar_split_clause,[],[f244,f283,f367,f347,f379]) ).

fof(f244,plain,
    ! [X10,X11] :
      ( hskp11
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X10,X11] :
      ( hskp11
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( spl0_30
    | ~ spl0_23
    | spl0_26
    | spl0_21 ),
    inference(avatar_split_clause,[],[f245,f337,f359,f347,f379]) ).

fof(f245,plain,
    ! [X8,X9] :
      ( hskp2
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X8,X9] :
      ( hskp2
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( ~ spl0_23
    | spl0_29
    | spl0_19
    | spl0_1 ),
    inference(avatar_split_clause,[],[f187,f247,f329,f371,f347]) ).

fof(f187,plain,
    ! [X7] :
      ( hskp19
      | hskp27
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( ~ spl0_23
    | spl0_29
    | spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f251,f301,f371,f347]) ).

fof(f189,plain,
    ! [X5] :
      ( hskp8
      | hskp18
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_23
    | spl0_29
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f279,f371,f347]) ).

fof(f190,plain,
    ! [X4] :
      ( hskp0
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_23
    | spl0_29
    | spl0_6 ),
    inference(avatar_split_clause,[],[f191,f269,f371,f347]) ).

fof(f191,plain,
    ! [X3] :
      ( hskp6
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_23
    | spl0_28
    | spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f192,f292,f260,f367,f347]) ).

fof(f192,plain,
    ! [X2] :
      ( hskp25
      | hskp16
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_18
    | spl0_17 ),
    inference(avatar_split_clause,[],[f197,f319,f324]) ).

fof(f197,plain,
    ( hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( spl0_13
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f199,f314,f310,f301]) ).

fof(f199,plain,
    ( hskp20
    | hskp4
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f308,plain,
    ( spl0_13
    | spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f200,f305,f247,f301]) ).

fof(f200,plain,
    ( hskp17
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 02:14:14 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.36  % (15634)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (15636)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  % (15637)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (15640)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38  % (15639)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38  % (15641)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38  % (15638)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38  % (15642)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [30]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [30]
% 0.21/0.38  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  Detected minimum model sizes of [1]
% 0.21/0.39  Detected maximum model sizes of [30]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  Detected minimum model sizes of [1]
% 0.21/0.39  Detected maximum model sizes of [30]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  TRYING [2]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  % (15641)First to succeed.
% 0.21/0.43  % (15641)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (15641)------------------------------
% 0.21/0.44  % (15641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.44  % (15641)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (15641)Memory used [KB]: 1975
% 0.21/0.44  % (15641)Time elapsed: 0.050 s
% 0.21/0.44  % (15641)Instructions burned: 88 (million)
% 0.21/0.44  % (15641)------------------------------
% 0.21/0.44  % (15641)------------------------------
% 0.21/0.44  % (15634)Success in time 0.074 s
%------------------------------------------------------------------------------