TSTP Solution File: SYN499+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN499+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 : n008.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 : Sun May  5 12:11:03 EDT 2024

% Result   : Theorem 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  145
% Syntax   : Number of formulae    :  820 (   1 unt;   0 def)
%            Number of atoms       : 7567 (   0 equ)
%            Maximal formula atoms :  775 (   9 avg)
%            Number of connectives : 10202 (3455   ~;4877   |;1218   &)
%                                         ( 144 <=>; 508  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  986 ( 986   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3218,plain,
    $false,
    inference(avatar_sat_refutation,[],[f260,f269,f300,f309,f317,f318,f322,f331,f352,f365,f370,f374,f379,f380,f389,f398,f402,f403,f404,f408,f409,f410,f418,f419,f421,f425,f432,f433,f437,f445,f446,f450,f455,f456,f460,f464,f468,f469,f473,f474,f478,f484,f485,f494,f495,f496,f497,f498,f502,f503,f505,f512,f513,f521,f531,f553,f558,f563,f564,f569,f574,f579,f585,f590,f595,f601,f606,f611,f649,f654,f659,f665,f670,f675,f681,f686,f691,f713,f718,f723,f729,f734,f739,f745,f750,f755,f761,f766,f771,f777,f782,f787,f793,f798,f803,f825,f830,f835,f841,f846,f851,f857,f862,f867,f873,f878,f883,f889,f894,f899,f900,f905,f910,f915,f921,f926,f931,f937,f942,f947,f948,f953,f963,f969,f974,f979,f985,f990,f995,f1001,f1006,f1011,f1017,f1022,f1027,f1033,f1038,f1043,f1056,f1089,f1094,f1132,f1146,f1150,f1198,f1228,f1242,f1244,f1267,f1277,f1361,f1379,f1395,f1399,f1473,f1514,f1535,f1552,f1609,f1614,f1636,f1644,f1663,f1695,f1701,f1734,f1787,f1819,f1832,f1876,f1930,f1933,f1999,f2014,f2015,f2066,f2067,f2070,f2146,f2152,f2192,f2210,f2247,f2275,f2292,f2296,f2304,f2306,f2322,f2336,f2350,f2450,f2462,f2466,f2490,f2579,f2613,f2669,f2671,f2678,f2683,f2684,f2749,f2752,f2891,f2904,f2955,f3033,f3035,f3055,f3120,f3123,f3165,f3168,f3185,f3188,f3213,f3215]) ).

fof(f3215,plain,
    ( ~ spl0_48
    | ~ spl0_57
    | spl0_109
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3214]) ).

fof(f3214,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_57
    | spl0_109
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f3206,f792]) ).

fof(f792,plain,
    ( ~ c0_1(a153)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_109
  <=> c0_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3206,plain,
    ( c0_1(a153)
    | ~ spl0_48
    | ~ spl0_57
    | ~ spl0_111 ),
    inference(resolution,[],[f3197,f802]) ).

fof(f802,plain,
    ( c2_1(a153)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_111
  <=> c2_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3197,plain,
    ( ! [X101] :
        ( ~ c2_1(X101)
        | c0_1(X101) )
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f516,f463]) ).

fof(f463,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f516,plain,
    ( ! [X101] :
        ( c1_1(X101)
        | c0_1(X101)
        | ~ c2_1(X101) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_57
  <=> ! [X101] :
        ( ~ c2_1(X101)
        | c0_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3213,plain,
    ( ~ spl0_48
    | ~ spl0_57
    | spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3212]) ).

fof(f3212,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_57
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f3202,f909]) ).

fof(f909,plain,
    ( ~ c0_1(a134)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_131
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3202,plain,
    ( c0_1(a134)
    | ~ spl0_48
    | ~ spl0_57
    | ~ spl0_132 ),
    inference(resolution,[],[f3197,f914]) ).

fof(f914,plain,
    ( c2_1(a134)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_132
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3188,plain,
    ( spl0_168
    | ~ spl0_56
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3187,f928,f923,f507,f2075]) ).

fof(f2075,plain,
    ( spl0_168
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f507,plain,
    ( spl0_56
  <=> ! [X89] :
        ( ~ c3_1(X89)
        | c0_1(X89)
        | c1_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f923,plain,
    ( spl0_134
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f928,plain,
    ( spl0_135
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3187,plain,
    ( c1_1(a132)
    | ~ spl0_56
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3173,f925]) ).

fof(f925,plain,
    ( ~ c0_1(a132)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f3173,plain,
    ( c0_1(a132)
    | c1_1(a132)
    | ~ spl0_56
    | ~ spl0_135 ),
    inference(resolution,[],[f508,f930]) ).

fof(f930,plain,
    ( c3_1(a132)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f508,plain,
    ( ! [X89] :
        ( ~ c3_1(X89)
        | c0_1(X89)
        | c1_1(X89) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f3185,plain,
    ( ~ spl0_56
    | spl0_154
    | spl0_155
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3184]) ).

fof(f3184,plain,
    ( $false
    | ~ spl0_56
    | spl0_154
    | spl0_155
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3183,f1032]) ).

fof(f1032,plain,
    ( ~ c1_1(a123)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1030,plain,
    ( spl0_154
  <=> c1_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3183,plain,
    ( c1_1(a123)
    | ~ spl0_56
    | spl0_155
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3171,f1037]) ).

fof(f1037,plain,
    ( ~ c0_1(a123)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1035,plain,
    ( spl0_155
  <=> c0_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3171,plain,
    ( c0_1(a123)
    | c1_1(a123)
    | ~ spl0_56
    | ~ spl0_165 ),
    inference(resolution,[],[f508,f1740]) ).

fof(f1740,plain,
    ( c3_1(a123)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1738]) ).

fof(f1738,plain,
    ( spl0_165
  <=> c3_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3168,plain,
    ( ~ spl0_55
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f3167]) ).

fof(f3167,plain,
    ( $false
    | ~ spl0_55
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(subsumption_resolution,[],[f3166,f653]) ).

fof(f653,plain,
    ( ~ c2_1(a182)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_83
  <=> c2_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3166,plain,
    ( c2_1(a182)
    | ~ spl0_55
    | spl0_82
    | spl0_84 ),
    inference(subsumption_resolution,[],[f3147,f658]) ).

fof(f658,plain,
    ( ~ c0_1(a182)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_84
  <=> c0_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3147,plain,
    ( c0_1(a182)
    | c2_1(a182)
    | ~ spl0_55
    | spl0_82 ),
    inference(resolution,[],[f501,f648]) ).

fof(f648,plain,
    ( ~ c3_1(a182)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_82
  <=> c3_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f501,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | c0_1(X84)
        | c2_1(X84) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_55
  <=> ! [X84] :
        ( c3_1(X84)
        | c0_1(X84)
        | c2_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3165,plain,
    ( spl0_95
    | ~ spl0_55
    | spl0_94
    | spl0_162 ),
    inference(avatar_split_clause,[],[f3164,f1641,f710,f500,f715]) ).

fof(f715,plain,
    ( spl0_95
  <=> c0_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f710,plain,
    ( spl0_94
  <=> c3_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1641,plain,
    ( spl0_162
  <=> c2_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3164,plain,
    ( c0_1(a168)
    | ~ spl0_55
    | spl0_94
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3144,f1643]) ).

fof(f1643,plain,
    ( ~ c2_1(a168)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f3144,plain,
    ( c0_1(a168)
    | c2_1(a168)
    | ~ spl0_55
    | spl0_94 ),
    inference(resolution,[],[f501,f712]) ).

fof(f712,plain,
    ( ~ c3_1(a168)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f3123,plain,
    ( spl0_142
    | spl0_171
    | ~ spl0_35
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2961,f971,f400,f2495,f966]) ).

fof(f966,plain,
    ( spl0_142
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2495,plain,
    ( spl0_171
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f400,plain,
    ( spl0_35
  <=> ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f971,plain,
    ( spl0_143
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2961,plain,
    ( c2_1(a128)
    | c3_1(a128)
    | ~ spl0_35
    | ~ spl0_143 ),
    inference(resolution,[],[f401,f973]) ).

fof(f973,plain,
    ( c1_1(a128)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f401,plain,
    ( ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f3120,plain,
    ( ~ spl0_48
    | ~ spl0_53
    | spl0_106
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f3119]) ).

fof(f3119,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_53
    | spl0_106
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f3112,f776]) ).

fof(f776,plain,
    ( ~ c0_1(a154)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f774,plain,
    ( spl0_106
  <=> c0_1(a154) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3112,plain,
    ( c0_1(a154)
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_108 ),
    inference(resolution,[],[f3108,f786]) ).

fof(f786,plain,
    ( c1_1(a154)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_108
  <=> c1_1(a154) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3108,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74) )
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f489,f463]) ).

fof(f489,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_53
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3055,plain,
    ( spl0_165
    | ~ spl0_39
    | spl0_154
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3052,f1040,f1030,f423,f1738]) ).

fof(f423,plain,
    ( spl0_39
  <=> ! [X33] :
        ( ~ c2_1(X33)
        | c1_1(X33)
        | c3_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1040,plain,
    ( spl0_156
  <=> c2_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3052,plain,
    ( c3_1(a123)
    | ~ spl0_39
    | spl0_154
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3051,f1032]) ).

fof(f3051,plain,
    ( c1_1(a123)
    | c3_1(a123)
    | ~ spl0_39
    | ~ spl0_156 ),
    inference(resolution,[],[f1042,f424]) ).

fof(f424,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | c1_1(X33)
        | c3_1(X33) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1042,plain,
    ( c2_1(a123)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f3035,plain,
    ( ~ spl0_166
    | ~ spl0_69
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2871,f571,f320,f576,f1789]) ).

fof(f1789,plain,
    ( spl0_166
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f576,plain,
    ( spl0_69
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f320,plain,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f571,plain,
    ( spl0_68
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2871,plain,
    ( ~ c0_1(a136)
    | ~ c3_1(a136)
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(resolution,[],[f321,f573]) ).

fof(f573,plain,
    ( c1_1(a136)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f321,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f3033,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f3032]) ).

fof(f3032,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f3024,f589]) ).

fof(f589,plain,
    ( c2_1(a133)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f587,plain,
    ( spl0_71
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3024,plain,
    ( ~ c2_1(a133)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(resolution,[],[f3015,f594]) ).

fof(f594,plain,
    ( c1_1(a133)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_72
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3015,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f463,f2892]) ).

fof(f2892,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f356,f321]) ).

fof(f356,plain,
    ( ! [X8] :
        ( c3_1(X8)
        | ~ c1_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_25
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2955,plain,
    ( ~ spl0_29
    | ~ spl0_35
    | spl0_97
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_35
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2941,f728]) ).

fof(f728,plain,
    ( ~ c2_1(a164)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_97
  <=> c2_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2941,plain,
    ( c2_1(a164)
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f2935,f738]) ).

fof(f738,plain,
    ( c1_1(a164)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_99
  <=> c1_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2935,plain,
    ( ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17) )
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f401,f373]) ).

fof(f373,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c3_1(X10) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_29
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2904,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2893,f973]) ).

fof(f2893,plain,
    ( ~ c1_1(a128)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_144 ),
    inference(resolution,[],[f2892,f978]) ).

fof(f978,plain,
    ( c0_1(a128)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_144
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2891,plain,
    ( ~ spl0_171
    | ~ spl0_20
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2886,f976,f971,f333,f2495]) ).

fof(f333,plain,
    ( spl0_20
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2886,plain,
    ( ~ c2_1(a128)
    | ~ spl0_20
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2877,f978]) ).

fof(f2877,plain,
    ( ~ c0_1(a128)
    | ~ c2_1(a128)
    | ~ spl0_20
    | ~ spl0_143 ),
    inference(resolution,[],[f334,f973]) ).

fof(f334,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f2752,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | spl0_88
    | spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2751,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | spl0_88
    | spl0_89 ),
    inference(subsumption_resolution,[],[f2744,f680]) ).

fof(f680,plain,
    ( ~ c2_1(a176)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl0_88
  <=> c2_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2744,plain,
    ( c2_1(a176)
    | ~ spl0_40
    | ~ spl0_43
    | spl0_89 ),
    inference(resolution,[],[f2694,f685]) ).

fof(f685,plain,
    ( ~ c1_1(a176)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl0_89
  <=> c1_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2694,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f440,f428]) ).

fof(f428,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl0_40
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f440,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_43
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2749,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | spl0_136
    | spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | spl0_136
    | spl0_137 ),
    inference(subsumption_resolution,[],[f2739,f936]) ).

fof(f936,plain,
    ( ~ c2_1(a131)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl0_136
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2739,plain,
    ( c2_1(a131)
    | ~ spl0_40
    | ~ spl0_43
    | spl0_137 ),
    inference(resolution,[],[f2694,f941]) ).

fof(f941,plain,
    ( ~ c1_1(a131)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_137
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2684,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_45
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2564,f1667,f448,f998,f1003]) ).

fof(f1003,plain,
    ( spl0_149
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f998,plain,
    ( spl0_148
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f448,plain,
    ( spl0_45
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1667,plain,
    ( spl0_163
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2564,plain,
    ( c0_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_45
    | ~ spl0_163 ),
    inference(resolution,[],[f449,f1669]) ).

fof(f1669,plain,
    ( c3_1(a125)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f449,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f2683,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2621,f1008,f462,f998,f1003]) ).

fof(f1008,plain,
    ( spl0_150
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2621,plain,
    ( c0_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(resolution,[],[f463,f1010]) ).

fof(f1010,plain,
    ( c1_1(a125)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f2678,plain,
    ( ~ spl0_129
    | spl0_127
    | ~ spl0_33
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2510,f891,f391,f886,f896]) ).

fof(f896,plain,
    ( spl0_129
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f886,plain,
    ( spl0_127
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f391,plain,
    ( spl0_33
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f891,plain,
    ( spl0_128
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2510,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_33
    | ~ spl0_128 ),
    inference(resolution,[],[f392,f893]) ).

fof(f893,plain,
    ( c1_1(a138)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f392,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f2671,plain,
    ( ~ spl0_169
    | spl0_106
    | ~ spl0_45
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2572,f779,f448,f774,f2084]) ).

fof(f2084,plain,
    ( spl0_169
  <=> c2_1(a154) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f779,plain,
    ( spl0_107
  <=> c3_1(a154) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2572,plain,
    ( c0_1(a154)
    | ~ c2_1(a154)
    | ~ spl0_45
    | ~ spl0_107 ),
    inference(resolution,[],[f449,f781]) ).

fof(f781,plain,
    ( c3_1(a154)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2669,plain,
    ( ~ spl0_75
    | spl0_161
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2548,f598,f412,f1510,f608]) ).

fof(f608,plain,
    ( spl0_75
  <=> c0_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1510,plain,
    ( spl0_161
  <=> c1_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f412,plain,
    ( spl0_37
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f598,plain,
    ( spl0_73
  <=> c3_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2548,plain,
    ( c1_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(resolution,[],[f413,f600]) ).

fof(f600,plain,
    ( c3_1(a122)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f413,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f2613,plain,
    ( ~ spl0_23
    | ~ spl0_35
    | ~ spl0_47
    | spl0_134
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2612]) ).

fof(f2612,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_35
    | ~ spl0_47
    | spl0_134
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2597,f925]) ).

fof(f2597,plain,
    ( c0_1(a132)
    | ~ spl0_23
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_168 ),
    inference(resolution,[],[f2593,f2077]) ).

fof(f2077,plain,
    ( c1_1(a132)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2075]) ).

fof(f2593,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48) )
    | ~ spl0_23
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f459,f2467]) ).

fof(f2467,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | ~ c1_1(X17) )
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f401,f346]) ).

fof(f346,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl0_23
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f459,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | c0_1(X48)
        | ~ c1_1(X48) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_47
  <=> ! [X48] :
        ( ~ c3_1(X48)
        | c0_1(X48)
        | ~ c1_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2579,plain,
    ( spl0_48
    | ~ spl0_23
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2561,f448,f400,f345,f462]) ).

fof(f2561,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(resolution,[],[f449,f2467]) ).

fof(f2490,plain,
    ( ~ spl0_23
    | ~ spl0_35
    | spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_35
    | spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2480,f973]) ).

fof(f2480,plain,
    ( ~ c1_1(a128)
    | ~ spl0_23
    | ~ spl0_35
    | spl0_142 ),
    inference(resolution,[],[f2467,f968]) ).

fof(f968,plain,
    ( ~ c3_1(a128)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f2466,plain,
    ( ~ spl0_157
    | spl0_127
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2325,f896,f382,f886,f1091]) ).

fof(f1091,plain,
    ( spl0_157
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f382,plain,
    ( spl0_31
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2325,plain,
    ( c2_1(a138)
    | ~ c3_1(a138)
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(resolution,[],[f383,f898]) ).

fof(f898,plain,
    ( c0_1(a138)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f383,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | ~ c3_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f2462,plain,
    ( spl0_141
    | ~ spl0_49
    | ~ spl0_55
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2461,f950,f500,f466,f960]) ).

fof(f960,plain,
    ( spl0_141
  <=> c0_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f466,plain,
    ( spl0_49
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f950,plain,
    ( spl0_139
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2461,plain,
    ( c0_1(a130)
    | ~ spl0_49
    | ~ spl0_55
    | spl0_139 ),
    inference(resolution,[],[f952,f2409]) ).

fof(f2409,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | c0_1(X84) )
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f501,f467]) ).

fof(f467,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f952,plain,
    ( ~ c3_1(a130)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f2450,plain,
    ( ~ spl0_57
    | spl0_154
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | ~ spl0_57
    | spl0_154
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2448,f1042]) ).

fof(f2448,plain,
    ( ~ c2_1(a123)
    | ~ spl0_57
    | spl0_154
    | spl0_155 ),
    inference(subsumption_resolution,[],[f2437,f1037]) ).

fof(f2437,plain,
    ( c0_1(a123)
    | ~ c2_1(a123)
    | ~ spl0_57
    | spl0_154 ),
    inference(resolution,[],[f516,f1032]) ).

fof(f2350,plain,
    ( ~ spl0_29
    | ~ spl0_40
    | spl0_133
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_40
    | spl0_133
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2341,f920]) ).

fof(f920,plain,
    ( ~ c2_1(a132)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f918,plain,
    ( spl0_133
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2341,plain,
    ( c2_1(a132)
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_135 ),
    inference(resolution,[],[f2338,f930]) ).

fof(f2338,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c2_1(X35) )
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f428,f373]) ).

fof(f2336,plain,
    ( spl0_160
    | ~ spl0_31
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2335,f848,f843,f382,f1274]) ).

fof(f1274,plain,
    ( spl0_160
  <=> c2_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f843,plain,
    ( spl0_119
  <=> c3_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f848,plain,
    ( spl0_120
  <=> c0_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2335,plain,
    ( c2_1(a142)
    | ~ spl0_31
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f2327,f845]) ).

fof(f845,plain,
    ( c3_1(a142)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f2327,plain,
    ( c2_1(a142)
    | ~ c3_1(a142)
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(resolution,[],[f383,f850]) ).

fof(f850,plain,
    ( c0_1(a142)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2322,plain,
    ( spl0_169
    | ~ spl0_29
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2321,f784,f779,f372,f2084]) ).

fof(f2321,plain,
    ( c2_1(a154)
    | ~ spl0_29
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f2311,f781]) ).

fof(f2311,plain,
    ( c2_1(a154)
    | ~ c3_1(a154)
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f373,f786]) ).

fof(f2306,plain,
    ( spl0_166
    | ~ spl0_23
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2305,f571,f566,f345,f1789]) ).

fof(f566,plain,
    ( spl0_67
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2305,plain,
    ( c3_1(a136)
    | ~ spl0_23
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f2287,f568]) ).

fof(f568,plain,
    ( c2_1(a136)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f2287,plain,
    ( c3_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(resolution,[],[f346,f573]) ).

fof(f2304,plain,
    ( spl0_151
    | ~ spl0_23
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2303,f1024,f1019,f345,f1014]) ).

fof(f1014,plain,
    ( spl0_151
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1019,plain,
    ( spl0_152
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1024,plain,
    ( spl0_153
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2303,plain,
    ( c3_1(a124)
    | ~ spl0_23
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2276,f1021]) ).

fof(f1021,plain,
    ( c2_1(a124)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f2276,plain,
    ( c3_1(a124)
    | ~ c2_1(a124)
    | ~ spl0_23
    | ~ spl0_153 ),
    inference(resolution,[],[f346,f1026]) ).

fof(f1026,plain,
    ( c1_1(a124)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f2296,plain,
    ( ~ spl0_162
    | ~ spl0_23
    | spl0_94
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2295,f720,f710,f345,f1641]) ).

fof(f720,plain,
    ( spl0_96
  <=> c1_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2295,plain,
    ( ~ c2_1(a168)
    | ~ spl0_23
    | spl0_94
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2283,f712]) ).

fof(f2283,plain,
    ( c3_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f346,f722]) ).

fof(f722,plain,
    ( c1_1(a168)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2292,plain,
    ( spl0_163
    | ~ spl0_23
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2291,f1008,f1003,f345,f1667]) ).

fof(f2291,plain,
    ( c3_1(a125)
    | ~ spl0_23
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2277,f1005]) ).

fof(f1005,plain,
    ( c2_1(a125)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f2277,plain,
    ( c3_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_23
    | ~ spl0_150 ),
    inference(resolution,[],[f346,f1010]) ).

fof(f2275,plain,
    ( ~ spl0_20
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2274]) ).

fof(f2274,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2273,f568]) ).

fof(f2273,plain,
    ( ~ c2_1(a136)
    | ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2267,f578]) ).

fof(f578,plain,
    ( c0_1(a136)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f2267,plain,
    ( ~ c0_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(resolution,[],[f334,f573]) ).

fof(f2247,plain,
    ( ~ spl0_48
    | spl0_95
    | ~ spl0_96
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2246]) ).

fof(f2246,plain,
    ( $false
    | ~ spl0_48
    | spl0_95
    | ~ spl0_96
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2245,f1642]) ).

fof(f1642,plain,
    ( c2_1(a168)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f2245,plain,
    ( ~ c2_1(a168)
    | ~ spl0_48
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2240,f717]) ).

fof(f717,plain,
    ( ~ c0_1(a168)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f2240,plain,
    ( c0_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(resolution,[],[f463,f722]) ).

fof(f2210,plain,
    ( ~ spl0_39
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_39
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f2208,f664]) ).

fof(f664,plain,
    ( ~ c3_1(a179)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_85
  <=> c3_1(a179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2208,plain,
    ( c3_1(a179)
    | ~ spl0_39
    | spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f2202,f669]) ).

fof(f669,plain,
    ( ~ c1_1(a179)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_86
  <=> c1_1(a179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2202,plain,
    ( c1_1(a179)
    | c3_1(a179)
    | ~ spl0_39
    | ~ spl0_87 ),
    inference(resolution,[],[f424,f674]) ).

fof(f674,plain,
    ( c2_1(a179)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_87
  <=> c2_1(a179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2192,plain,
    ( spl0_162
    | ~ spl0_35
    | spl0_94
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2191,f720,f710,f400,f1641]) ).

fof(f2191,plain,
    ( c2_1(a168)
    | ~ spl0_35
    | spl0_94
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2174,f712]) ).

fof(f2174,plain,
    ( c2_1(a168)
    | c3_1(a168)
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f401,f722]) ).

fof(f2152,plain,
    ( ~ spl0_160
    | ~ spl0_119
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1939,f848,f430,f843,f1274]) ).

fof(f430,plain,
    ( spl0_41
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1939,plain,
    ( ~ c3_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(resolution,[],[f431,f850]) ).

fof(f431,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | ~ c3_1(X34)
        | ~ c2_1(X34) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2146,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f2137,f834]) ).

fof(f834,plain,
    ( c2_1(a143)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_117
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2137,plain,
    ( ~ c2_1(a143)
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(resolution,[],[f2080,f829]) ).

fof(f829,plain,
    ( c3_1(a143)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_116
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2080,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f449,f431]) ).

fof(f2070,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2055]) ).

fof(f2055,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_150 ),
    inference(resolution,[],[f2053,f1010]) ).

fof(f2053,plain,
    ( ! [X74] : ~ c1_1(X74)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f2021,f2012]) ).

fof(f2012,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f463,f1913]) ).

fof(f1913,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f321,f356]) ).

fof(f2021,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74) )
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f489,f1913]) ).

fof(f2067,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(resolution,[],[f2053,f738]) ).

fof(f2066,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_53
    | ~ spl0_96 ),
    inference(resolution,[],[f2053,f722]) ).

fof(f2015,plain,
    ( ~ spl0_75
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1925,f1510,f355,f320,f608]) ).

fof(f1925,plain,
    ( ~ c0_1(a122)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_161 ),
    inference(resolution,[],[f1913,f1512]) ).

fof(f1512,plain,
    ( c1_1(a122)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f2014,plain,
    ( ~ spl0_74
    | ~ spl0_16
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2013,f1510,f598,f315,f603]) ).

fof(f603,plain,
    ( spl0_74
  <=> c2_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f315,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2013,plain,
    ( ~ c2_1(a122)
    | ~ spl0_16
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1888,f600]) ).

fof(f1888,plain,
    ( ~ c3_1(a122)
    | ~ c2_1(a122)
    | ~ spl0_16
    | ~ spl0_161 ),
    inference(resolution,[],[f1512,f316]) ).

fof(f316,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1999,plain,
    ( ~ spl0_51
    | spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f1998,plain,
    ( $false
    | ~ spl0_51
    | spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1997,f920]) ).

fof(f1997,plain,
    ( c2_1(a132)
    | ~ spl0_51
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1986,f925]) ).

fof(f1986,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(resolution,[],[f477,f930]) ).

fof(f477,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_51
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1933,plain,
    ( ~ spl0_69
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1927,f571,f355,f320,f576]) ).

fof(f1927,plain,
    ( ~ c0_1(a136)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(resolution,[],[f1913,f573]) ).

fof(f1930,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1919,f850]) ).

fof(f1919,plain,
    ( ~ c0_1(a142)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_118 ),
    inference(resolution,[],[f1913,f839]) ).

fof(f839,plain,
    ( c1_1(a142)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl0_118
  <=> c1_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1876,plain,
    ( spl0_101
    | ~ spl0_40
    | spl0_100
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1875,f752,f742,f427,f747]) ).

fof(f747,plain,
    ( spl0_101
  <=> c1_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f742,plain,
    ( spl0_100
  <=> c2_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f752,plain,
    ( spl0_102
  <=> c3_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1875,plain,
    ( c1_1(a160)
    | ~ spl0_40
    | spl0_100
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1852,f744]) ).

fof(f744,plain,
    ( ~ c2_1(a160)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1852,plain,
    ( c1_1(a160)
    | c2_1(a160)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f428,f754]) ).

fof(f754,plain,
    ( c3_1(a160)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1832,plain,
    ( spl0_131
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1823,f912,f466,f448,f907]) ).

fof(f1823,plain,
    ( c0_1(a134)
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_132 ),
    inference(resolution,[],[f1820,f914]) ).

fof(f1820,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43) )
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f449,f467]) ).

fof(f1819,plain,
    ( ~ spl0_17
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1818]) ).

fof(f1818,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1817,f552]) ).

fof(f552,plain,
    ( c3_1(a167)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_64
  <=> c3_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1817,plain,
    ( ~ c3_1(a167)
    | ~ spl0_17
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1812,f562]) ).

fof(f562,plain,
    ( c0_1(a167)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_66
  <=> c0_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1812,plain,
    ( ~ c0_1(a167)
    | ~ c3_1(a167)
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(resolution,[],[f321,f557]) ).

fof(f557,plain,
    ( c1_1(a167)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_65
  <=> c1_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1787,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1781,f573]) ).

fof(f1781,plain,
    ( ~ c1_1(a136)
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_67 ),
    inference(resolution,[],[f1749,f568]) ).

fof(f1749,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f346,f316]) ).

fof(f1734,plain,
    ( ~ spl0_71
    | ~ spl0_16
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1730,f592,f582,f315,f587]) ).

fof(f582,plain,
    ( spl0_70
  <=> c3_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1730,plain,
    ( ~ c2_1(a133)
    | ~ spl0_16
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1721,f584]) ).

fof(f584,plain,
    ( c3_1(a133)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1721,plain,
    ( ~ c3_1(a133)
    | ~ c2_1(a133)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(resolution,[],[f316,f594]) ).

fof(f1701,plain,
    ( spl0_83
    | ~ spl0_35
    | ~ spl0_43
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1691,f646,f439,f400,f651]) ).

fof(f1691,plain,
    ( c2_1(a182)
    | ~ spl0_35
    | ~ spl0_43
    | spl0_82 ),
    inference(resolution,[],[f1675,f648]) ).

fof(f1675,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | c2_1(X17) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f401,f440]) ).

fof(f1695,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | spl0_124
    | spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | spl0_124
    | spl0_125 ),
    inference(subsumption_resolution,[],[f1687,f877]) ).

fof(f877,plain,
    ( ~ c2_1(a140)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl0_125
  <=> c2_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1687,plain,
    ( c2_1(a140)
    | ~ spl0_35
    | ~ spl0_43
    | spl0_124 ),
    inference(resolution,[],[f1675,f872]) ).

fof(f872,plain,
    ( ~ c3_1(a140)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_124
  <=> c3_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1663,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | ~ spl0_56
    | spl0_137
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_56
    | spl0_137
    | spl0_138 ),
    inference(subsumption_resolution,[],[f1653,f946]) ).

fof(f946,plain,
    ( ~ c0_1(a131)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl0_138
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1653,plain,
    ( c0_1(a131)
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_56
    | spl0_137 ),
    inference(resolution,[],[f1648,f941]) ).

fof(f1648,plain,
    ( ! [X89] :
        ( c1_1(X89)
        | c0_1(X89) )
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f508,f1622]) ).

fof(f1622,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | c0_1(X84) )
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f501,f467]) ).

fof(f1644,plain,
    ( ~ spl0_162
    | spl0_94
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1428,f720,f345,f710,f1641]) ).

fof(f1428,plain,
    ( c3_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f722,f346]) ).

fof(f1636,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | spl0_82
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1635,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_55
    | spl0_82
    | spl0_84 ),
    inference(subsumption_resolution,[],[f1629,f658]) ).

fof(f1629,plain,
    ( c0_1(a182)
    | ~ spl0_49
    | ~ spl0_55
    | spl0_82 ),
    inference(resolution,[],[f1622,f648]) ).

fof(f1614,plain,
    ( ~ spl0_23
    | ~ spl0_53
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1613,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_53
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1612,f1429]) ).

fof(f1429,plain,
    ( ~ c2_1(a168)
    | ~ spl0_23
    | spl0_94
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1428,f712]) ).

fof(f1612,plain,
    ( c2_1(a168)
    | ~ spl0_53
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1600,f717]) ).

fof(f1600,plain,
    ( c0_1(a168)
    | c2_1(a168)
    | ~ spl0_53
    | ~ spl0_96 ),
    inference(resolution,[],[f489,f722]) ).

fof(f1609,plain,
    ( ~ spl0_53
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl0_53
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1607,f760]) ).

fof(f760,plain,
    ( ~ c2_1(a155)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl0_103
  <=> c2_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1607,plain,
    ( c2_1(a155)
    | ~ spl0_53
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1597,f765]) ).

fof(f765,plain,
    ( ~ c0_1(a155)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl0_104
  <=> c0_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1597,plain,
    ( c0_1(a155)
    | c2_1(a155)
    | ~ spl0_53
    | ~ spl0_105 ),
    inference(resolution,[],[f489,f770]) ).

fof(f770,plain,
    ( c1_1(a155)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl0_105
  <=> c1_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1552,plain,
    ( ~ spl0_50
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1551,plain,
    ( $false
    | ~ spl0_50
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1550,f722]) ).

fof(f1550,plain,
    ( ~ c1_1(a168)
    | ~ spl0_50
    | spl0_94
    | spl0_95 ),
    inference(subsumption_resolution,[],[f1543,f717]) ).

fof(f1543,plain,
    ( c0_1(a168)
    | ~ c1_1(a168)
    | ~ spl0_50
    | spl0_94 ),
    inference(resolution,[],[f472,f712]) ).

fof(f472,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_50
  <=> ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1535,plain,
    ( ~ spl0_43
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl0_43
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(subsumption_resolution,[],[f1533,f861]) ).

fof(f861,plain,
    ( ~ c2_1(a141)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f859,plain,
    ( spl0_122
  <=> c2_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1533,plain,
    ( c2_1(a141)
    | ~ spl0_43
    | spl0_121
    | spl0_123 ),
    inference(subsumption_resolution,[],[f1521,f866]) ).

fof(f866,plain,
    ( ~ c1_1(a141)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_123
  <=> c1_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1521,plain,
    ( c1_1(a141)
    | c2_1(a141)
    | ~ spl0_43
    | spl0_121 ),
    inference(resolution,[],[f440,f856]) ).

fof(f856,plain,
    ( ~ c3_1(a141)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_121
  <=> c3_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1514,plain,
    ( spl0_160
    | ~ spl0_42
    | spl0_118
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1505,f848,f838,f435,f1274]) ).

fof(f435,plain,
    ( spl0_42
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1505,plain,
    ( c2_1(a142)
    | ~ spl0_42
    | spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1497,f840]) ).

fof(f840,plain,
    ( ~ c1_1(a142)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f1497,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f436,f850]) ).

fof(f436,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1473,plain,
    ( spl0_130
    | ~ spl0_49
    | spl0_131
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1468,f912,f907,f466,f902]) ).

fof(f902,plain,
    ( spl0_130
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1468,plain,
    ( c3_1(a134)
    | ~ spl0_49
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1459,f909]) ).

fof(f1459,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_49
    | ~ spl0_132 ),
    inference(resolution,[],[f467,f914]) ).

fof(f1399,plain,
    ( ~ spl0_42
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_42
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1397,f680]) ).

fof(f1397,plain,
    ( c2_1(a176)
    | ~ spl0_42
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1388,f685]) ).

fof(f1388,plain,
    ( c1_1(a176)
    | c2_1(a176)
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(resolution,[],[f436,f690]) ).

fof(f690,plain,
    ( c0_1(a176)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f688,plain,
    ( spl0_90
  <=> c0_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1395,plain,
    ( ~ spl0_25
    | ~ spl0_42
    | spl0_124
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1394,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_42
    | spl0_124
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1393,f877]) ).

fof(f1393,plain,
    ( c2_1(a140)
    | ~ spl0_25
    | ~ spl0_42
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1384,f1182]) ).

fof(f1182,plain,
    ( ~ c1_1(a140)
    | ~ spl0_25
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1174,f882]) ).

fof(f882,plain,
    ( c0_1(a140)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_126
  <=> c0_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1174,plain,
    ( ~ c1_1(a140)
    | ~ c0_1(a140)
    | ~ spl0_25
    | spl0_124 ),
    inference(resolution,[],[f356,f872]) ).

fof(f1384,plain,
    ( c1_1(a140)
    | c2_1(a140)
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f436,f882]) ).

fof(f1379,plain,
    ( ~ spl0_33
    | ~ spl0_42
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_42
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1369,f877]) ).

fof(f1369,plain,
    ( c2_1(a140)
    | ~ spl0_33
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f1364,f882]) ).

fof(f1364,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c2_1(X39) )
    | ~ spl0_33
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f436,f392]) ).

fof(f1361,plain,
    ( ~ spl0_45
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | ~ spl0_45
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1359,f802]) ).

fof(f1359,plain,
    ( ~ c2_1(a153)
    | ~ spl0_45
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1351,f792]) ).

fof(f1351,plain,
    ( c0_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f449,f797]) ).

fof(f797,plain,
    ( c3_1(a153)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_110
  <=> c3_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1277,plain,
    ( ~ spl0_160
    | spl0_118
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1201,f843,f406,f838,f1274]) ).

fof(f406,plain,
    ( spl0_36
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1201,plain,
    ( c1_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f845,f407]) ).

fof(f407,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1267,plain,
    ( ~ spl0_31
    | ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1266]) ).

fof(f1266,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1204,f1202]) ).

fof(f1202,plain,
    ( ~ c2_1(a142)
    | ~ spl0_36
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1201,f840]) ).

fof(f1204,plain,
    ( c2_1(a142)
    | ~ spl0_31
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1203,f845]) ).

fof(f1203,plain,
    ( c2_1(a142)
    | ~ c3_1(a142)
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(resolution,[],[f850,f383]) ).

fof(f1244,plain,
    ( ~ spl0_23
    | ~ spl0_39
    | spl0_85
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f1243,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_39
    | spl0_85
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f1238,f664]) ).

fof(f1238,plain,
    ( c3_1(a179)
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_87 ),
    inference(resolution,[],[f1231,f674]) ).

fof(f1231,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | c3_1(X33) )
    | ~ spl0_23
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f424,f346]) ).

fof(f1242,plain,
    ( ~ spl0_23
    | ~ spl0_39
    | spl0_130
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1241]) ).

fof(f1241,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_39
    | spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1234,f904]) ).

fof(f904,plain,
    ( ~ c3_1(a134)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f1234,plain,
    ( c3_1(a134)
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(resolution,[],[f1231,f914]) ).

fof(f1228,plain,
    ( ~ spl0_37
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1227,plain,
    ( $false
    | ~ spl0_37
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1226,f850]) ).

fof(f1226,plain,
    ( ~ c0_1(a142)
    | ~ spl0_37
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1219,f840]) ).

fof(f1219,plain,
    ( c1_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(resolution,[],[f413,f845]) ).

fof(f1198,plain,
    ( ~ spl0_98
    | ~ spl0_29
    | spl0_97
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1193,f736,f726,f372,f731]) ).

fof(f731,plain,
    ( spl0_98
  <=> c3_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1193,plain,
    ( ~ c3_1(a164)
    | ~ spl0_29
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1190,f728]) ).

fof(f1190,plain,
    ( c2_1(a164)
    | ~ c3_1(a164)
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(resolution,[],[f373,f738]) ).

fof(f1150,plain,
    ( ~ spl0_35
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1149]) ).

fof(f1149,plain,
    ( $false
    | ~ spl0_35
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1148,f984]) ).

fof(f984,plain,
    ( ~ c3_1(a127)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f982,plain,
    ( spl0_145
  <=> c3_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1148,plain,
    ( c3_1(a127)
    | ~ spl0_35
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1147,f989]) ).

fof(f989,plain,
    ( ~ c2_1(a127)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f987,plain,
    ( spl0_146
  <=> c2_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1147,plain,
    ( c2_1(a127)
    | c3_1(a127)
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f994,f401]) ).

fof(f994,plain,
    ( c1_1(a127)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl0_147
  <=> c1_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1146,plain,
    ( ~ spl0_117
    | ~ spl0_36
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1140,f827,f822,f406,f832]) ).

fof(f822,plain,
    ( spl0_115
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1140,plain,
    ( ~ c2_1(a143)
    | ~ spl0_36
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1134,f824]) ).

fof(f824,plain,
    ( ~ c1_1(a143)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f1134,plain,
    ( c1_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f407,f829]) ).

fof(f1132,plain,
    ( spl0_157
    | spl0_127
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1127,f891,f400,f886,f1091]) ).

fof(f1127,plain,
    ( c2_1(a138)
    | c3_1(a138)
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(resolution,[],[f401,f893]) ).

fof(f1094,plain,
    ( ~ spl0_157
    | ~ spl0_129
    | ~ spl0_17
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1088,f891,f320,f896,f1091]) ).

fof(f1088,plain,
    ( ~ c0_1(a138)
    | ~ c3_1(a138)
    | ~ spl0_17
    | ~ spl0_128 ),
    inference(resolution,[],[f893,f321]) ).

fof(f1089,plain,
    ( ~ spl0_129
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1086,f891,f355,f320,f896]) ).

fof(f1086,plain,
    ( ~ c0_1(a138)
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(resolution,[],[f893,f1051]) ).

fof(f1051,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f356,f321]) ).

fof(f1056,plain,
    ( ~ spl0_16
    | ~ spl0_29
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1055,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_29
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1054,f733]) ).

fof(f733,plain,
    ( c3_1(a164)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f1054,plain,
    ( ~ c3_1(a164)
    | ~ spl0_16
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(resolution,[],[f1053,f738]) ).

fof(f1053,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | ~ c3_1(X10) )
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f373,f316]) ).

fof(f1043,plain,
    ( ~ spl0_38
    | spl0_156 ),
    inference(avatar_split_clause,[],[f8,f1040,f415]) ).

fof(f415,plain,
    ( spl0_38
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f8,plain,
    ( c2_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X107] :
          ( ~ c1_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X109] :
          ( ~ c1_1(X109)
          | c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X116] :
          ( ~ c2_1(X116)
          | c3_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | c3_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c3_1(X121)
          | c2_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X107] :
          ( ~ c1_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X109] :
          ( ~ c1_1(X109)
          | c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X116] :
          ( ~ c2_1(X116)
          | c3_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | c3_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c3_1(X121)
          | c2_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp22
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp9
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c1_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp7
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp12
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp16
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp12
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp29
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp14
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp28
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp13
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp12
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp8
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp7
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c0_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp6
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c2_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp5
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp27
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c0_1(X102)
            | c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp4
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c2_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp3
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | c3_1(X109)
            | c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c0_1(X112)
            | c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp0
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp27
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | c3_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | c3_1(X118)
            | c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c2_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c2_1(X121)
            | c0_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c1_1(X122)
            | c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c3_1(X124)
            | ~ c1_1(X124)
            | c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c3_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c2_1(X126)
            | c1_1(X126)
            | c0_1(X126) ) ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp8
          | hskp19
          | hskp2 )
        & ( hskp13
          | hskp19
          | hskp12 )
        & ( hskp15
          | hskp20
          | hskp26 )
        & ( hskp6
          | hskp20
          | hskp21 )
        & ( hskp15
          | hskp3
          | hskp27 )
        & ( hskp6
          | hskp9
          | hskp30 )
        & ( hskp13
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp8
          | hskp9
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp19
          | hskp2
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp22
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp25
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp23
          | hskp14
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp22
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp27
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp24
          | hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp11
          | hskp12
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp13
          | hskp15
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp24
          | hskp17
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp13
          | hskp17
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp6
          | hskp25
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp3
          | hskp1
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp18
          | hskp10
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp22
          | hskp9
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp24
          | hskp15
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp9
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp7
          | hskp22
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp7
          | hskp0
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp15
          | hskp3
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp6
          | hskp21
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp20
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp17
          | hskp19
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp16
          | hskp2
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp12
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | hskp0
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | hskp29
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp0
          | hskp17
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp15
          | hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp7
          | hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp29
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp14
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp28
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp13
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp11
          | hskp10
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp7
          | hskp9
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp7
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp8
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp7
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp6
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp5
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp4
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c2_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp3
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp1
          | hskp2
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp0
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp27
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | c3_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | c3_1(X118)
                | c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c2_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c2_1(X121)
                | c0_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c3_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c2_1(X126)
                | c1_1(X126)
                | c0_1(X126) ) ) )
        & ( ( c3_1(a167)
            & c1_1(a167)
            & c0_1(a167)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a136)
            & c1_1(a136)
            & c0_1(a136)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a133)
            & c2_1(a133)
            & c1_1(a133)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a122)
            & c2_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a225)
            & c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a189)
            & ~ c0_1(a189)
            & c3_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a179)
            & ~ c1_1(a179)
            & c2_1(a179)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a176)
            & ~ c1_1(a176)
            & c0_1(a176)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a168)
            & ~ c0_1(a168)
            & c1_1(a168)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a164)
            & c3_1(a164)
            & c1_1(a164)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a155)
            & ~ c0_1(a155)
            & c1_1(a155)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a154)
            & c3_1(a154)
            & c1_1(a154)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a153)
            & c3_1(a153)
            & c2_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & c0_1(a147)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a143)
            & c3_1(a143)
            & c2_1(a143)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a142)
            & c3_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a138)
            & c1_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a134)
            & ~ c0_1(a134)
            & c2_1(a134)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a131)
            & ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a130)
            & ~ c1_1(a130)
            & ~ c0_1(a130)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a127)
            & ~ c2_1(a127)
            & c1_1(a127)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a125)
            & c2_1(a125)
            & c1_1(a125)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a124)
            & c2_1(a124)
            & c1_1(a124)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a123)
            & ~ c0_1(a123)
            & c2_1(a123)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp8
          | hskp19
          | hskp2 )
        & ( hskp13
          | hskp19
          | hskp12 )
        & ( hskp15
          | hskp20
          | hskp26 )
        & ( hskp6
          | hskp20
          | hskp21 )
        & ( hskp15
          | hskp3
          | hskp27 )
        & ( hskp6
          | hskp9
          | hskp30 )
        & ( hskp13
          | hskp3
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) ) )
        & ( hskp8
          | hskp9
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp19
          | hskp2
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | hskp22
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp25
          | hskp14
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp23
          | hskp14
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) ) )
        & ( hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp19
          | hskp27
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp24
          | hskp7
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp11
          | hskp12
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp13
          | hskp15
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp24
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp13
          | hskp17
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp6
          | hskp25
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp3
          | hskp1
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp18
          | hskp10
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp22
          | hskp9
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp24
          | hskp15
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c3_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp9
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp23
          | hskp8
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp7
          | hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp7
          | hskp0
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp15
          | hskp3
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp6
          | hskp21
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp20
          | hskp30
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp6
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp17
          | hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp16
          | hskp2
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp12
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp7
          | hskp29
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp0
          | hskp17
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp16
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp7
          | hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp29
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp3
          | hskp28
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | hskp10
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp7
          | hskp9
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp7
          | hskp29
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp8
          | hskp28
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp7
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c1_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp1
          | hskp2
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp1
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp0
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp27
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a167)
            & c1_1(a167)
            & c0_1(a167)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a136)
            & c1_1(a136)
            & c0_1(a136)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a133)
            & c2_1(a133)
            & c1_1(a133)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a122)
            & c2_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a225)
            & c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a189)
            & ~ c0_1(a189)
            & c3_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a179)
            & ~ c1_1(a179)
            & c2_1(a179)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a176)
            & ~ c1_1(a176)
            & c0_1(a176)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a168)
            & ~ c0_1(a168)
            & c1_1(a168)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a164)
            & c3_1(a164)
            & c1_1(a164)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a155)
            & ~ c0_1(a155)
            & c1_1(a155)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a154)
            & c3_1(a154)
            & c1_1(a154)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a153)
            & c3_1(a153)
            & c2_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & c0_1(a147)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a143)
            & c3_1(a143)
            & c2_1(a143)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a142)
            & c3_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a138)
            & c1_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a134)
            & ~ c0_1(a134)
            & c2_1(a134)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a131)
            & ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a130)
            & ~ c1_1(a130)
            & ~ c0_1(a130)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a127)
            & ~ c2_1(a127)
            & c1_1(a127)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a125)
            & c2_1(a125)
            & c1_1(a125)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a124)
            & c2_1(a124)
            & c1_1(a124)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a123)
            & ~ c0_1(a123)
            & c2_1(a123)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp8
        | hskp19
        | hskp2 )
      & ( hskp13
        | hskp19
        | hskp12 )
      & ( hskp15
        | hskp20
        | hskp26 )
      & ( hskp6
        | hskp20
        | hskp21 )
      & ( hskp15
        | hskp3
        | hskp27 )
      & ( hskp6
        | hskp9
        | hskp30 )
      & ( hskp13
        | hskp3
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c2_1(X126)
              | ~ c1_1(X126) ) ) )
      & ( hskp8
        | hskp9
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp19
        | hskp2
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | hskp22
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp25
        | hskp14
        | ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp23
        | hskp14
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | c3_1(X121) ) ) )
      & ( hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp19
        | hskp27
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp24
        | hskp7
        | ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp11
        | hskp12
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp13
        | hskp15
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp24
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp13
        | hskp17
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp6
        | hskp25
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp3
        | hskp1
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp18
        | hskp10
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp22
        | hskp9
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c0_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp24
        | hskp15
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | c3_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp9
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp23
        | hskp8
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp7
        | hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp7
        | hskp0
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp15
        | hskp3
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp6
        | hskp21
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp7
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp20
        | hskp30
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp6
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp17
        | hskp19
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp16
        | hskp2
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c2_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp12
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | hskp0
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c0_1(X83) ) ) )
      & ( hskp7
        | hskp29
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp0
        | hskp17
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c1_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp16
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | hskp10
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp7
        | hskp14
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp12
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp29
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c0_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp3
        | hskp28
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp28
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c2_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | hskp10
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp7
        | hskp9
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp7
        | hskp29
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp8
        | hskp28
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp7
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c1_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp6
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp5
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c0_1(X24)
              | c3_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp4
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp3
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp1
        | hskp2
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp1
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp0
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp27
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c3_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a167)
          & c1_1(a167)
          & c0_1(a167)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a136)
          & c1_1(a136)
          & c0_1(a136)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a133)
          & c2_1(a133)
          & c1_1(a133)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a122)
          & c2_1(a122)
          & c0_1(a122)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a225)
          & c2_1(a225)
          & c0_1(a225)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a189)
          & ~ c0_1(a189)
          & c3_1(a189)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a182)
          & ~ c2_1(a182)
          & ~ c0_1(a182)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a179)
          & ~ c1_1(a179)
          & c2_1(a179)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a176)
          & ~ c1_1(a176)
          & c0_1(a176)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a170)
          & c2_1(a170)
          & c0_1(a170)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a168)
          & ~ c0_1(a168)
          & c1_1(a168)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a164)
          & c3_1(a164)
          & c1_1(a164)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a160)
          & ~ c1_1(a160)
          & c3_1(a160)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a155)
          & ~ c0_1(a155)
          & c1_1(a155)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c0_1(a154)
          & c3_1(a154)
          & c1_1(a154)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a153)
          & c3_1(a153)
          & c2_1(a153)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a147)
          & ~ c1_1(a147)
          & c0_1(a147)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a143)
          & c3_1(a143)
          & c2_1(a143)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a142)
          & c3_1(a142)
          & c0_1(a142)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a141)
          & ~ c2_1(a141)
          & ~ c1_1(a141)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a140)
          & ~ c2_1(a140)
          & c0_1(a140)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a138)
          & c1_1(a138)
          & c0_1(a138)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a134)
          & ~ c0_1(a134)
          & c2_1(a134)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a132)
          & ~ c0_1(a132)
          & c3_1(a132)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a131)
          & ~ c1_1(a131)
          & ~ c0_1(a131)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a130)
          & ~ c1_1(a130)
          & ~ c0_1(a130)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a128)
          & c1_1(a128)
          & c0_1(a128)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a127)
          & ~ c2_1(a127)
          & c1_1(a127)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a125)
          & c2_1(a125)
          & c1_1(a125)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a124)
          & c2_1(a124)
          & c1_1(a124)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a123)
          & ~ c0_1(a123)
          & c2_1(a123)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1038,plain,
    ( ~ spl0_38
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f9,f1035,f415]) ).

fof(f9,plain,
    ( ~ c0_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_38
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f10,f1030,f415]) ).

fof(f10,plain,
    ( ~ c1_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1027,plain,
    ( ~ spl0_32
    | spl0_153 ),
    inference(avatar_split_clause,[],[f12,f1024,f386]) ).

fof(f386,plain,
    ( spl0_32
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f12,plain,
    ( c1_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1022,plain,
    ( ~ spl0_32
    | spl0_152 ),
    inference(avatar_split_clause,[],[f13,f1019,f386]) ).

fof(f13,plain,
    ( c2_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_32
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f14,f1014,f386]) ).

fof(f14,plain,
    ( ~ c3_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_1
    | spl0_150 ),
    inference(avatar_split_clause,[],[f16,f1008,f249]) ).

fof(f249,plain,
    ( spl0_1
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16,plain,
    ( c1_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( ~ spl0_1
    | spl0_149 ),
    inference(avatar_split_clause,[],[f17,f1003,f249]) ).

fof(f17,plain,
    ( c2_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_1
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18,f998,f249]) ).

fof(f18,plain,
    ( ~ c0_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_12
    | spl0_147 ),
    inference(avatar_split_clause,[],[f20,f992,f297]) ).

fof(f297,plain,
    ( spl0_12
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f20,plain,
    ( c1_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f21,f987,f297]) ).

fof(f21,plain,
    ( ~ c2_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_12
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f22,f982,f297]) ).

fof(f22,plain,
    ( ~ c3_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_60
    | spl0_144 ),
    inference(avatar_split_clause,[],[f24,f976,f528]) ).

fof(f528,plain,
    ( spl0_60
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f24,plain,
    ( c0_1(a128)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f974,plain,
    ( ~ spl0_60
    | spl0_143 ),
    inference(avatar_split_clause,[],[f25,f971,f528]) ).

fof(f25,plain,
    ( c1_1(a128)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_60
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f26,f966,f528]) ).

fof(f26,plain,
    ( ~ c3_1(a128)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f963,plain,
    ( ~ spl0_58
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f28,f960,f518]) ).

fof(f518,plain,
    ( spl0_58
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f28,plain,
    ( ~ c0_1(a130)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_58
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f30,f950,f518]) ).

fof(f30,plain,
    ( ~ c3_1(a130)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_10
    | spl0_15 ),
    inference(avatar_split_clause,[],[f31,f311,f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f311,plain,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_10
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f32,f944,f288]) ).

fof(f32,plain,
    ( ~ c0_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_10
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f33,f939,f288]) ).

fof(f33,plain,
    ( ~ c1_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_10
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f34,f934,f288]) ).

fof(f34,plain,
    ( ~ c2_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(avatar_split_clause,[],[f36,f928,f358]) ).

fof(f358,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f36,plain,
    ( c3_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_26
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f37,f923,f358]) ).

fof(f37,plain,
    ( ~ c0_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_26
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f38,f918,f358]) ).

fof(f38,plain,
    ( ~ c2_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_3
    | spl0_132 ),
    inference(avatar_split_clause,[],[f40,f912,f257]) ).

fof(f257,plain,
    ( spl0_3
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f40,plain,
    ( c2_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_3
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f41,f907,f257]) ).

fof(f41,plain,
    ( ~ c0_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_3
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f42,f902,f257]) ).

fof(f42,plain,
    ( ~ c3_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f43,f311,f306]) ).

fof(f306,plain,
    ( spl0_14
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f43,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_14
    | spl0_129 ),
    inference(avatar_split_clause,[],[f44,f896,f306]) ).

fof(f44,plain,
    ( c0_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_14
    | spl0_128 ),
    inference(avatar_split_clause,[],[f45,f891,f306]) ).

fof(f45,plain,
    ( c1_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_14
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f46,f886,f306]) ).

fof(f46,plain,
    ( ~ c2_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_19
    | spl0_126 ),
    inference(avatar_split_clause,[],[f48,f880,f328]) ).

fof(f328,plain,
    ( spl0_19
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f48,plain,
    ( c0_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_19
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f49,f875,f328]) ).

fof(f49,plain,
    ( ~ c2_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f50,f870,f328]) ).

fof(f50,plain,
    ( ~ c3_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_28
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f52,f864,f367]) ).

fof(f367,plain,
    ( spl0_28
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f52,plain,
    ( ~ c1_1(a141)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_28
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f53,f859,f367]) ).

fof(f53,plain,
    ( ~ c2_1(a141)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_28
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f54,f854,f367]) ).

fof(f54,plain,
    ( ~ c3_1(a141)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_4
    | spl0_120 ),
    inference(avatar_split_clause,[],[f56,f848,f262]) ).

fof(f262,plain,
    ( spl0_4
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f56,plain,
    ( c0_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_4
    | spl0_119 ),
    inference(avatar_split_clause,[],[f57,f843,f262]) ).

fof(f57,plain,
    ( c3_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_4
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f58,f838,f262]) ).

fof(f58,plain,
    ( ~ c1_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_5
    | spl0_117 ),
    inference(avatar_split_clause,[],[f60,f832,f266]) ).

fof(f266,plain,
    ( spl0_5
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f60,plain,
    ( c2_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_5
    | spl0_116 ),
    inference(avatar_split_clause,[],[f61,f827,f266]) ).

fof(f61,plain,
    ( c3_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f822,f266]) ).

fof(f62,plain,
    ( ~ c1_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_8
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f800,f279]) ).

fof(f279,plain,
    ( spl0_8
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f68,plain,
    ( c2_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_8
    | spl0_110 ),
    inference(avatar_split_clause,[],[f69,f795,f279]) ).

fof(f69,plain,
    ( c3_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_8
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f790,f279]) ).

fof(f70,plain,
    ( ~ c0_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_44
    | spl0_108 ),
    inference(avatar_split_clause,[],[f72,f784,f442]) ).

fof(f442,plain,
    ( spl0_44
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f72,plain,
    ( c1_1(a154)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_44
    | spl0_107 ),
    inference(avatar_split_clause,[],[f73,f779,f442]) ).

fof(f73,plain,
    ( c3_1(a154)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_44
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f74,f774,f442]) ).

fof(f74,plain,
    ( ~ c0_1(a154)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_30
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f768,f376]) ).

fof(f376,plain,
    ( spl0_30
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f76,plain,
    ( c1_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_30
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f77,f763,f376]) ).

fof(f77,plain,
    ( ~ c0_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_30
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f758,f376]) ).

fof(f78,plain,
    ( ~ c2_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_34
    | spl0_102 ),
    inference(avatar_split_clause,[],[f80,f752,f394]) ).

fof(f394,plain,
    ( spl0_34
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f80,plain,
    ( c3_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_34
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f747,f394]) ).

fof(f81,plain,
    ( ~ c1_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_34
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f742,f394]) ).

fof(f82,plain,
    ( ~ c2_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_2
    | spl0_99 ),
    inference(avatar_split_clause,[],[f84,f736,f253]) ).

fof(f253,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f84,plain,
    ( c1_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_2
    | spl0_98 ),
    inference(avatar_split_clause,[],[f85,f731,f253]) ).

fof(f85,plain,
    ( c3_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_2
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f86,f726,f253]) ).

fof(f86,plain,
    ( ~ c2_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f88,f720,f275]) ).

fof(f275,plain,
    ( spl0_7
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f88,plain,
    ( c1_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_7
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f89,f715,f275]) ).

fof(f89,plain,
    ( ~ c0_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_7
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f90,f710,f275]) ).

fof(f90,plain,
    ( ~ c3_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_18
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f688,f324]) ).

fof(f324,plain,
    ( spl0_18
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f96,plain,
    ( c0_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_18
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f97,f683,f324]) ).

fof(f97,plain,
    ( ~ c1_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_18
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f678,f324]) ).

fof(f98,plain,
    ( ~ c2_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_24
    | spl0_87 ),
    inference(avatar_split_clause,[],[f100,f672,f348]) ).

fof(f348,plain,
    ( spl0_24
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f100,plain,
    ( c2_1(a179)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_24
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f101,f667,f348]) ).

fof(f101,plain,
    ( ~ c1_1(a179)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_24
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f102,f662,f348]) ).

fof(f102,plain,
    ( ~ c3_1(a179)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_27
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f104,f656,f362]) ).

fof(f362,plain,
    ( spl0_27
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f104,plain,
    ( ~ c0_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f105,f651,f362]) ).

fof(f105,plain,
    ( ~ c2_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f646,f362]) ).

fof(f106,plain,
    ( ~ c3_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_11
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f608,f293]) ).

fof(f293,plain,
    ( spl0_11
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f116,plain,
    ( c0_1(a122)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_11
    | spl0_74 ),
    inference(avatar_split_clause,[],[f117,f603,f293]) ).

fof(f117,plain,
    ( c2_1(a122)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_11
    | spl0_73 ),
    inference(avatar_split_clause,[],[f118,f598,f293]) ).

fof(f118,plain,
    ( c3_1(a122)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_54
    | spl0_72 ),
    inference(avatar_split_clause,[],[f120,f592,f491]) ).

fof(f491,plain,
    ( spl0_54
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f120,plain,
    ( c1_1(a133)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_54
    | spl0_71 ),
    inference(avatar_split_clause,[],[f121,f587,f491]) ).

fof(f121,plain,
    ( c2_1(a133)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_54
    | spl0_70 ),
    inference(avatar_split_clause,[],[f122,f582,f491]) ).

fof(f122,plain,
    ( c3_1(a133)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_46
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f576,f452]) ).

fof(f452,plain,
    ( spl0_46
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f124,plain,
    ( c0_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_46
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f571,f452]) ).

fof(f125,plain,
    ( c1_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_46
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f566,f452]) ).

fof(f126,plain,
    ( c2_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_13
    | spl0_15 ),
    inference(avatar_split_clause,[],[f127,f311,f302]) ).

fof(f302,plain,
    ( spl0_13
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f127,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_13
    | spl0_66 ),
    inference(avatar_split_clause,[],[f128,f560,f302]) ).

fof(f128,plain,
    ( c0_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( ~ spl0_13
    | spl0_65 ),
    inference(avatar_split_clause,[],[f129,f555,f302]) ).

fof(f129,plain,
    ( c1_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_13
    | spl0_64 ),
    inference(avatar_split_clause,[],[f130,f550,f302]) ).

fof(f130,plain,
    ( c3_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_57
    | ~ spl0_15
    | spl0_53
    | spl0_60 ),
    inference(avatar_split_clause,[],[f218,f528,f488,f311,f515]) ).

fof(f218,plain,
    ! [X108,X107] :
      ( hskp4
      | ~ c1_1(X107)
      | c2_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X108,X107] :
      ( hskp4
      | ~ c1_1(X107)
      | c2_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_57
    | ~ spl0_15
    | spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f221,f518,f333,f311,f515]) ).

fof(f221,plain,
    ! [X101,X100] :
      ( hskp5
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X101,X100] :
      ( hskp5
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_56
    | spl0_53
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f222,f345,f311,f488,f507]) ).

fof(f222,plain,
    ! [X98,X99,X97] :
      ( ~ c2_1(X97)
      | ~ c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X98,X99,X97] :
      ( ~ c2_1(X97)
      | ~ c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_56
    | spl0_40
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f223,f406,f311,f427,f507]) ).

fof(f223,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_55
    | ~ spl0_15
    | spl0_41
    | spl0_3 ),
    inference(avatar_split_clause,[],[f226,f257,f430,f311,f500]) ).

fof(f226,plain,
    ! [X88,X87] :
      ( hskp8
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X88,X87] :
      ( hskp8
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_15
    | spl0_55
    | spl0_14
    | spl0_26 ),
    inference(avatar_split_clause,[],[f150,f358,f306,f500,f311]) ).

fof(f150,plain,
    ! [X85] :
      ( hskp7
      | hskp9
      | c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( ~ spl0_15
    | spl0_55
    | spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f151,f367,f328,f500,f311]) ).

fof(f151,plain,
    ! [X84] :
      ( hskp11
      | hskp10
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_53
    | spl0_51
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f382,f311,f476,f488]) ).

fof(f227,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_51
    | spl0_4 ),
    inference(avatar_split_clause,[],[f228,f262,f476,f311,f488]) ).

fof(f228,plain,
    ! [X80,X79] :
      ( hskp12
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X80,X79] :
      ( hskp12
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_42
    | spl0_5 ),
    inference(avatar_split_clause,[],[f229,f266,f435,f311,f488]) ).

fof(f229,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c0_1(X77)
      | c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c0_1(X77)
      | c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_25
    | spl0_54 ),
    inference(avatar_split_clause,[],[f230,f491,f355,f311,f488]) ).

fof(f230,plain,
    ! [X76,X75] :
      ( hskp28
      | ~ c1_1(X75)
      | ~ c0_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X76,X75] :
      ( hskp28
      | ~ c1_1(X75)
      | ~ c0_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( ~ spl0_15
    | spl0_53
    | spl0_54
    | spl0_12 ),
    inference(avatar_split_clause,[],[f156,f297,f491,f488,f311]) ).

fof(f156,plain,
    ! [X74] :
      ( hskp3
      | hskp28
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_51
    | spl0_48
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f232,f435,f311,f462,f476]) ).

fof(f232,plain,
    ! [X70,X71,X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X70,X71,X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_51
    | ~ spl0_15
    | spl0_35
    | spl0_46 ),
    inference(avatar_split_clause,[],[f233,f452,f400,f311,f476]) ).

fof(f233,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c1_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c1_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_19
    | spl0_8 ),
    inference(avatar_split_clause,[],[f162,f279,f328,f476,f311]) ).

fof(f162,plain,
    ! [X63] :
      ( hskp15
      | hskp10
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_50
    | spl0_23
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f235,f430,f311,f345,f471]) ).

fof(f235,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_50
    | ~ spl0_15
    | spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f236,f442,f315,f311,f471]) ).

fof(f236,plain,
    ! [X58,X59] :
      ( hskp16
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X58,X59] :
      ( hskp16
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_49
    | spl0_40
    | ~ spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f237,f333,f311,f427,f466]) ).

fof(f237,plain,
    ! [X56,X57,X55] :
      ( ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X56,X57,X55] :
      ( ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_49
    | spl0_35
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f238,f372,f311,f400,f466]) ).

fof(f238,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c2_1(X53)
      | ~ c2_1(X54)
      | c3_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_48
    | spl0_39
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f239,f345,f311,f423,f462]) ).

fof(f239,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c1_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c1_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_15
    | spl0_47
    | spl0_30
    | spl0_38 ),
    inference(avatar_split_clause,[],[f168,f415,f376,f458,f311]) ).

fof(f168,plain,
    ! [X48] :
      ( hskp0
      | hskp17
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_45
    | spl0_42
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f240,f320,f311,f435,f448]) ).

fof(f240,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_15
    | spl0_45
    | spl0_46
    | spl0_26 ),
    inference(avatar_split_clause,[],[f170,f358,f452,f448,f311]) ).

fof(f170,plain,
    ! [X44] :
      ( hskp7
      | hskp29
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_15
    | spl0_45
    | spl0_38
    | spl0_34 ),
    inference(avatar_split_clause,[],[f171,f394,f415,f448,f311]) ).

fof(f171,plain,
    ! [X43] :
      ( hskp18
      | hskp0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_43
    | ~ spl0_15
    | spl0_25
    | spl0_4 ),
    inference(avatar_split_clause,[],[f241,f262,f355,f311,f439]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( hskp12
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X41,X42] :
      ( hskp12
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_15
    | spl0_43
    | spl0_1
    | spl0_44 ),
    inference(avatar_split_clause,[],[f173,f442,f249,f439,f311]) ).

fof(f173,plain,
    ! [X40] :
      ( hskp16
      | hskp2
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_15
    | spl0_42
    | spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f174,f376,f253,f435,f311]) ).

fof(f174,plain,
    ! [X39] :
      ( hskp17
      | hskp19
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_40
    | spl0_35
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f242,f382,f311,f400,f427]) ).

fof(f242,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( spl0_40
    | ~ spl0_15
    | spl0_41
    | spl0_10 ),
    inference(avatar_split_clause,[],[f243,f288,f430,f311,f427]) ).

fof(f243,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f177,f275,f302,f423,f311]) ).

fof(f177,plain,
    ! [X33] :
      ( hskp20
      | hskp30
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( spl0_37
    | ~ spl0_15
    | spl0_33
    | spl0_26 ),
    inference(avatar_split_clause,[],[f244,f358,f391,f311,f412]) ).

fof(f244,plain,
    ! [X31,X32] :
      ( hskp7
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X31,X32] :
      ( hskp7
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( ~ spl0_15
    | spl0_37
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f180,f279,f297,f412,f311]) ).

fof(f180,plain,
    ! [X29] :
      ( hskp15
      | hskp3
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_15
    | spl0_37
    | spl0_38
    | spl0_26 ),
    inference(avatar_split_clause,[],[f181,f358,f415,f412,f311]) ).

fof(f181,plain,
    ! [X28] :
      ( hskp7
      | hskp0
      | ~ c3_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( spl0_36
    | spl0_23
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f245,f320,f311,f345,f406]) ).

fof(f245,plain,
    ! [X26,X27,X25] :
      ( ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | c3_1(X26)
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X26,X27,X25] :
      ( ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_18
    | spl0_26 ),
    inference(avatar_split_clause,[],[f183,f358,f324,f406,f311]) ).

fof(f183,plain,
    ! [X24] :
      ( hskp7
      | hskp22
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f184,f348,f257,f406,f311]) ).

fof(f184,plain,
    ! [X23] :
      ( hskp23
      | hskp8
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_35
    | ~ spl0_15
    | spl0_25
    | spl0_14 ),
    inference(avatar_split_clause,[],[f246,f306,f355,f311,f400]) ).

fof(f246,plain,
    ! [X21,X22] :
      ( hskp9
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | c2_1(X22) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X21,X22] :
      ( hskp9
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( spl0_35
    | spl0_23
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f247,f315,f311,f345,f400]) ).

fof(f247,plain,
    ! [X18,X19,X20] :
      ( ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c1_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | c3_1(X19)
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X18,X19,X20] :
      ( ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c1_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f187,f362,f279,f400,f311]) ).

fof(f187,plain,
    ! [X17] :
      ( hskp24
      | hskp15
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f188,f324,f306,f391,f311]) ).

fof(f188,plain,
    ! [X16] :
      ( hskp22
      | hskp9
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_32
    | spl0_12 ),
    inference(avatar_split_clause,[],[f190,f297,f386,f382,f311]) ).

fof(f190,plain,
    ! [X14] :
      ( hskp3
      | hskp1
      | ~ c3_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_30
    | spl0_5 ),
    inference(avatar_split_clause,[],[f192,f266,f376,f372,f311]) ).

fof(f192,plain,
    ! [X12] :
      ( hskp13
      | hskp17
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_30
    | spl0_27 ),
    inference(avatar_split_clause,[],[f193,f362,f376,f372,f311]) ).

fof(f193,plain,
    ! [X11] :
      ( hskp24
      | hskp17
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f194,f266,f279,f372,f311]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp13
      | hskp15
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_4
    | spl0_28 ),
    inference(avatar_split_clause,[],[f195,f367,f262,f355,f311]) ).

fof(f195,plain,
    ! [X9] :
      ( hskp11
      | hskp12
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f196,f362,f358,f355,f311]) ).

fof(f196,plain,
    ! [X8] :
      ( hskp24
      | hskp7
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f324,f345,f311]) ).

fof(f198,plain,
    ! [X6] :
      ( hskp22
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f331,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f201,f328,f324,f320,f311]) ).

fof(f201,plain,
    ! [X3] :
      ( hskp10
      | hskp22
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f322,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f253,f249,f320,f311]) ).

fof(f202,plain,
    ! [X2] :
      ( hskp19
      | hskp2
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f257,f306,f315,f311]) ).

fof(f203,plain,
    ! [X1] :
      ( hskp8
      | hskp9
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f204,f266,f297,f315,f311]) ).

fof(f204,plain,
    ! [X0] :
      ( hskp13
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( spl0_13
    | spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f288,f306,f302]) ).

fof(f205,plain,
    ( hskp6
    | hskp9
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_11
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f206,f279,f297,f293]) ).

fof(f206,plain,
    ( hskp15
    | hskp3
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    ( spl0_4
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f209,f266,f253,f262]) ).

fof(f209,plain,
    ( hskp13
    | hskp19
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f260,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f210,f257,f253,f249]) ).

fof(f210,plain,
    ( hskp8
    | hskp19
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 17:27:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (29475)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40  % (29478)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.40  % (29481)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.40  % (29479)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40  % (29480)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)
% 0.22/0.40  % (29484)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)
% 0.22/0.40  % (29482)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.40  % (29483)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [31]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  TRYING [2]
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [31]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  TRYING [3]
% 0.22/0.41  TRYING [2]
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [31]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  TRYING [2]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  Detected minimum model sizes of [1]
% 0.22/0.42  Detected maximum model sizes of [31]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [5]
% 0.22/0.43  TRYING [4]
% 0.22/0.44  TRYING [5]
% 0.22/0.44  TRYING [5]
% 0.22/0.45  TRYING [5]
% 0.22/0.45  % (29483)First to succeed.
% 0.22/0.46  % (29483)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29475"
% 0.22/0.47  % (29483)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Theorem for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47  % (29483)------------------------------
% 0.22/0.47  % (29483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47  % (29483)Termination reason: Refutation
% 0.22/0.47  
% 0.22/0.47  % (29483)Memory used [KB]: 1991
% 0.22/0.47  % (29483)Time elapsed: 0.062 s
% 0.22/0.47  % (29483)Instructions burned: 96 (million)
% 0.22/0.47  % (29475)Success in time 0.101 s
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