TSTP Solution File: SYN478+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN478+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 : n019.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 12:10:48 EDT 2024

% Result   : Theorem 0.22s 0.71s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  709 (   1 unt;   0 def)
%            Number of atoms       : 6625 (   0 equ)
%            Maximal formula atoms :  688 (   9 avg)
%            Number of connectives : 8852 (2936   ~;4185   |;1194   &)
%                                         ( 125 <=>; 412  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  162 ( 161 usr; 158 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  801 ( 801   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2747,plain,
    $false,
    inference(avatar_sat_refutation,[],[f279,f288,f293,f302,f327,f336,f346,f362,f374,f379,f389,f390,f403,f412,f413,f417,f422,f426,f453,f454,f458,f459,f461,f472,f473,f477,f478,f479,f483,f487,f488,f492,f496,f497,f501,f502,f503,f504,f509,f510,f512,f541,f546,f551,f557,f562,f567,f573,f578,f583,f589,f594,f599,f605,f610,f615,f621,f631,f653,f663,f669,f674,f679,f701,f706,f711,f717,f722,f727,f733,f738,f743,f749,f754,f759,f765,f770,f775,f781,f786,f791,f797,f802,f807,f808,f813,f818,f823,f829,f834,f839,f845,f850,f855,f882,f887,f893,f898,f903,f909,f919,f930,f935,f957,f962,f967,f968,f1016,f1038,f1050,f1069,f1076,f1117,f1125,f1143,f1156,f1175,f1185,f1206,f1239,f1278,f1280,f1313,f1325,f1353,f1355,f1368,f1382,f1388,f1402,f1424,f1426,f1429,f1445,f1455,f1462,f1599,f1720,f1765,f1767,f1905,f1933,f1942,f1946,f1952,f1985,f1997,f2015,f2037,f2044,f2051,f2200,f2259,f2292,f2297,f2312,f2317,f2338,f2341,f2364,f2366,f2371,f2394,f2421,f2443,f2459,f2474,f2493,f2526,f2582,f2644,f2673,f2675,f2687,f2700,f2706,f2726,f2728,f2730,f2742]) ).

fof(f2742,plain,
    ( spl0_162
    | ~ spl0_54
    | spl0_109
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2741,f788,f778,f485,f1562]) ).

fof(f1562,plain,
    ( spl0_162
  <=> c0_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f485,plain,
    ( spl0_54
  <=> ! [X58] :
        ( ~ c1_1(X58)
        | c0_1(X58)
        | c3_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f778,plain,
    ( spl0_109
  <=> c3_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f788,plain,
    ( spl0_111
  <=> c1_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2741,plain,
    ( c0_1(a1331)
    | ~ spl0_54
    | spl0_109
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f2621,f780]) ).

fof(f780,plain,
    ( ~ c3_1(a1331)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f2621,plain,
    ( c0_1(a1331)
    | c3_1(a1331)
    | ~ spl0_54
    | ~ spl0_111 ),
    inference(resolution,[],[f486,f790]) ).

fof(f790,plain,
    ( c1_1(a1331)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f486,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | c0_1(X58)
        | c3_1(X58) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f2730,plain,
    ( ~ spl0_47
    | ~ spl0_55
    | spl0_112
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2729,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_55
    | spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f2715,f801]) ).

fof(f801,plain,
    ( ~ c1_1(a1330)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl0_113
  <=> c1_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2715,plain,
    ( c1_1(a1330)
    | ~ spl0_47
    | ~ spl0_55
    | spl0_112 ),
    inference(resolution,[],[f2705,f796]) ).

fof(f796,plain,
    ( ~ c2_1(a1330)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_112
  <=> c2_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2705,plain,
    ( ! [X62] :
        ( c2_1(X62)
        | c1_1(X62) )
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f491,f451]) ).

fof(f451,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_47
  <=> ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f491,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_55
  <=> ! [X62] :
        ( c3_1(X62)
        | c1_1(X62)
        | c2_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2728,plain,
    ( ~ spl0_47
    | ~ spl0_55
    | spl0_116
    | spl0_117 ),
    inference(avatar_contradiction_clause,[],[f2727]) ).

fof(f2727,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_55
    | spl0_116
    | spl0_117 ),
    inference(subsumption_resolution,[],[f2714,f822]) ).

fof(f822,plain,
    ( ~ c1_1(a1326)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_117
  <=> c1_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2714,plain,
    ( c1_1(a1326)
    | ~ spl0_47
    | ~ spl0_55
    | spl0_116 ),
    inference(resolution,[],[f2705,f817]) ).

fof(f817,plain,
    ( ~ c2_1(a1326)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_116
  <=> c2_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2726,plain,
    ( ~ spl0_47
    | ~ spl0_55
    | spl0_143
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2725,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_55
    | spl0_143
    | spl0_159 ),
    inference(subsumption_resolution,[],[f2711,f961]) ).

fof(f961,plain,
    ( ~ c1_1(a1312)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f959,plain,
    ( spl0_143
  <=> c1_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2711,plain,
    ( c1_1(a1312)
    | ~ spl0_47
    | ~ spl0_55
    | spl0_159 ),
    inference(resolution,[],[f2705,f1322]) ).

fof(f1322,plain,
    ( ~ c2_1(a1312)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f1321,plain,
    ( spl0_159
  <=> c2_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2706,plain,
    ( spl0_165
    | spl0_94
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2625,f708,f485,f698,f1642]) ).

fof(f1642,plain,
    ( spl0_165
  <=> c3_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f698,plain,
    ( spl0_94
  <=> c0_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f708,plain,
    ( spl0_96
  <=> c1_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2625,plain,
    ( c0_1(a1348)
    | c3_1(a1348)
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(resolution,[],[f486,f710]) ).

fof(f710,plain,
    ( c1_1(a1348)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f2700,plain,
    ( ~ spl0_53
    | ~ spl0_54
    | spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2699]) ).

fof(f2699,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_54
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f2692,f737]) ).

fof(f737,plain,
    ( ~ c0_1(a1339)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_101
  <=> c0_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2692,plain,
    ( c0_1(a1339)
    | ~ spl0_53
    | ~ spl0_54
    | ~ spl0_102 ),
    inference(resolution,[],[f2682,f742]) ).

fof(f742,plain,
    ( c1_1(a1339)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_102
  <=> c1_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2682,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56) )
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f482,f486]) ).

fof(f482,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_53
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2687,plain,
    ( spl0_171
    | ~ spl0_47
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2686,f847,f842,f450,f2307]) ).

fof(f2307,plain,
    ( spl0_171
  <=> c2_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f842,plain,
    ( spl0_121
  <=> c1_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f847,plain,
    ( spl0_122
  <=> c3_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2686,plain,
    ( c2_1(a1324)
    | ~ spl0_47
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2685,f844]) ).

fof(f844,plain,
    ( ~ c1_1(a1324)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2685,plain,
    ( c1_1(a1324)
    | c2_1(a1324)
    | ~ spl0_47
    | ~ spl0_122 ),
    inference(resolution,[],[f849,f451]) ).

fof(f849,plain,
    ( c3_1(a1324)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f2675,plain,
    ( ~ spl0_37
    | ~ spl0_55
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_55
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2662,f609]) ).

fof(f609,plain,
    ( ~ c2_1(a1411)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f607,plain,
    ( spl0_77
  <=> c2_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2662,plain,
    ( c2_1(a1411)
    | ~ spl0_37
    | ~ spl0_55
    | spl0_76 ),
    inference(resolution,[],[f2639,f604]) ).

fof(f604,plain,
    ( ~ c3_1(a1411)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl0_76
  <=> c3_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2639,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c2_1(X62) )
    | ~ spl0_37
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f491,f406]) ).

fof(f406,plain,
    ( ! [X15] :
        ( c3_1(X15)
        | c2_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_37
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2673,plain,
    ( ~ spl0_37
    | ~ spl0_55
    | spl0_115
    | spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2672]) ).

fof(f2672,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_55
    | spl0_115
    | spl0_116 ),
    inference(subsumption_resolution,[],[f2653,f817]) ).

fof(f2653,plain,
    ( c2_1(a1326)
    | ~ spl0_37
    | ~ spl0_55
    | spl0_115 ),
    inference(resolution,[],[f2639,f812]) ).

fof(f812,plain,
    ( ~ c3_1(a1326)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f810,plain,
    ( spl0_115
  <=> c3_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2644,plain,
    ( ~ spl0_42
    | spl0_121
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | ~ spl0_42
    | spl0_121
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2642,f854]) ).

fof(f854,plain,
    ( c0_1(a1324)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl0_123
  <=> c0_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2642,plain,
    ( ~ c0_1(a1324)
    | ~ spl0_42
    | spl0_121
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2641,f844]) ).

fof(f2641,plain,
    ( c1_1(a1324)
    | ~ c0_1(a1324)
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(resolution,[],[f2309,f429]) ).

fof(f429,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl0_42
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2309,plain,
    ( c2_1(a1324)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2582,plain,
    ( ~ spl0_168
    | ~ spl0_37
    | spl0_76
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2579,f607,f602,f405,f2048]) ).

fof(f2048,plain,
    ( spl0_168
  <=> c1_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2579,plain,
    ( ~ c1_1(a1411)
    | ~ spl0_37
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2569,f609]) ).

fof(f2569,plain,
    ( c2_1(a1411)
    | ~ c1_1(a1411)
    | ~ spl0_37
    | spl0_76 ),
    inference(resolution,[],[f406,f604]) ).

fof(f2526,plain,
    ( ~ spl0_42
    | spl0_143
    | ~ spl0_144
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

fof(f2525,plain,
    ( $false
    | ~ spl0_42
    | spl0_143
    | ~ spl0_144
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2524,f966]) ).

fof(f966,plain,
    ( c0_1(a1312)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f964,plain,
    ( spl0_144
  <=> c0_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2524,plain,
    ( ~ c0_1(a1312)
    | ~ spl0_42
    | spl0_143
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2509,f961]) ).

fof(f2509,plain,
    ( c1_1(a1312)
    | ~ c0_1(a1312)
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f429,f1323]) ).

fof(f1323,plain,
    ( c2_1(a1312)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f2493,plain,
    ( ~ spl0_28
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2492]) ).

fof(f2492,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2491,f721]) ).

fof(f721,plain,
    ( c1_1(a1344)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f719,plain,
    ( spl0_98
  <=> c1_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2491,plain,
    ( ~ c1_1(a1344)
    | ~ spl0_28
    | ~ spl0_99
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2489,f726]) ).

fof(f726,plain,
    ( c0_1(a1344)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f724,plain,
    ( spl0_99
  <=> c0_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2489,plain,
    ( ~ c0_1(a1344)
    | ~ c1_1(a1344)
    | ~ spl0_28
    | ~ spl0_169 ),
    inference(resolution,[],[f2055,f365]) ).

fof(f365,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_28
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2055,plain,
    ( c3_1(a1344)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2053]) ).

fof(f2053,plain,
    ( spl0_169
  <=> c3_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2474,plain,
    ( ~ spl0_53
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2473]) ).

fof(f2473,plain,
    ( $false
    | ~ spl0_53
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f2472,f838]) ).

fof(f838,plain,
    ( c1_1(a1325)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl0_120
  <=> c1_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2472,plain,
    ( ~ c1_1(a1325)
    | ~ spl0_53
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2465,f828]) ).

fof(f828,plain,
    ( ~ c0_1(a1325)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_118
  <=> c0_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2465,plain,
    ( c0_1(a1325)
    | ~ c1_1(a1325)
    | ~ spl0_53
    | ~ spl0_119 ),
    inference(resolution,[],[f482,f833]) ).

fof(f833,plain,
    ( c3_1(a1325)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f831,plain,
    ( spl0_119
  <=> c3_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2459,plain,
    ( ~ spl0_167
    | ~ spl0_49
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2458,f884,f879,f463,f2012]) ).

fof(f2012,plain,
    ( spl0_167
  <=> c3_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f463,plain,
    ( spl0_49
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f879,plain,
    ( spl0_128
  <=> c0_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f884,plain,
    ( spl0_129
  <=> c2_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2458,plain,
    ( ~ c3_1(a1320)
    | ~ spl0_49
    | spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2448,f881]) ).

fof(f881,plain,
    ( ~ c0_1(a1320)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f2448,plain,
    ( c0_1(a1320)
    | ~ c3_1(a1320)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f464,f886]) ).

fof(f886,plain,
    ( c2_1(a1320)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f464,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | c0_1(X45)
        | ~ c3_1(X45) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f2443,plain,
    ( spl0_168
    | ~ spl0_48
    | spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2442,f612,f607,f456,f2048]) ).

fof(f456,plain,
    ( spl0_48
  <=> ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f612,plain,
    ( spl0_78
  <=> c0_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2442,plain,
    ( c1_1(a1411)
    | ~ spl0_48
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f2433,f609]) ).

fof(f2433,plain,
    ( c1_1(a1411)
    | c2_1(a1411)
    | ~ spl0_48
    | ~ spl0_78 ),
    inference(resolution,[],[f457,f614]) ).

fof(f614,plain,
    ( c0_1(a1411)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f457,plain,
    ( ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f2421,plain,
    ( spl0_142
    | spl0_159
    | ~ spl0_38
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2244,f964,f410,f1321,f954]) ).

fof(f954,plain,
    ( spl0_142
  <=> c3_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f410,plain,
    ( spl0_38
  <=> ! [X17] :
        ( ~ c0_1(X17)
        | c2_1(X17)
        | c3_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2244,plain,
    ( c2_1(a1312)
    | c3_1(a1312)
    | ~ spl0_38
    | ~ spl0_144 ),
    inference(resolution,[],[f411,f966]) ).

fof(f411,plain,
    ( ! [X17] :
        ( ~ c0_1(X17)
        | c2_1(X17)
        | c3_1(X17) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f2394,plain,
    ( ~ spl0_45
    | spl0_79
    | ~ spl0_81
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_45
    | spl0_79
    | ~ spl0_81
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2392,f620]) ).

fof(f620,plain,
    ( ~ c3_1(a1394)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f618,plain,
    ( spl0_79
  <=> c3_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2392,plain,
    ( c3_1(a1394)
    | ~ spl0_45
    | ~ spl0_81
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2383,f1712]) ).

fof(f1712,plain,
    ( ~ c1_1(a1394)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1711]) ).

fof(f1711,plain,
    ( spl0_166
  <=> c1_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2383,plain,
    ( c1_1(a1394)
    | c3_1(a1394)
    | ~ spl0_45
    | ~ spl0_81 ),
    inference(resolution,[],[f443,f630]) ).

fof(f630,plain,
    ( c0_1(a1394)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f628,plain,
    ( spl0_81
  <=> c0_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f443,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c3_1(X30) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_45
  <=> ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2371,plain,
    ( ~ spl0_34
    | ~ spl0_74
    | ~ spl0_75
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2370]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_74
    | ~ spl0_75
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2369,f598]) ).

fof(f598,plain,
    ( c0_1(a1307)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl0_75
  <=> c0_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2369,plain,
    ( ~ c0_1(a1307)
    | ~ spl0_34
    | ~ spl0_74
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2361,f593]) ).

fof(f593,plain,
    ( c1_1(a1307)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl0_74
  <=> c1_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2361,plain,
    ( ~ c1_1(a1307)
    | ~ c0_1(a1307)
    | ~ spl0_34
    | spl0_161 ),
    inference(resolution,[],[f393,f1459]) ).

fof(f1459,plain,
    ( ~ c3_1(a1307)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1457,plain,
    ( spl0_161
  <=> c3_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f393,plain,
    ( ! [X13] :
        ( c3_1(X13)
        | ~ c1_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_34
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2366,plain,
    ( ~ spl0_162
    | ~ spl0_34
    | spl0_109
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2365,f788,f778,f392,f1562]) ).

fof(f2365,plain,
    ( ~ c0_1(a1331)
    | ~ spl0_34
    | spl0_109
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f2355,f790]) ).

fof(f2355,plain,
    ( ~ c1_1(a1331)
    | ~ c0_1(a1331)
    | ~ spl0_34
    | spl0_109 ),
    inference(resolution,[],[f393,f780]) ).

fof(f2364,plain,
    ( spl0_29
    | ~ spl0_25
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2363,f392,f352,f368]) ).

fof(f368,plain,
    ( spl0_29
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f352,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2363,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2350]) ).

fof(f2350,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_34 ),
    inference(resolution,[],[f393,f353]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f2341,plain,
    ( ~ spl0_25
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2340]) ).

fof(f2340,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2339,f561]) ).

fof(f561,plain,
    ( c2_1(a1338)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_68
  <=> c2_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2339,plain,
    ( ~ c2_1(a1338)
    | ~ spl0_25
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2331,f566]) ).

fof(f566,plain,
    ( c1_1(a1338)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl0_69
  <=> c1_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2331,plain,
    ( ~ c1_1(a1338)
    | ~ c2_1(a1338)
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(resolution,[],[f353,f556]) ).

fof(f556,plain,
    ( c3_1(a1338)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl0_67
  <=> c3_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2338,plain,
    ( ~ spl0_25
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2336,f705]) ).

fof(f705,plain,
    ( c2_1(a1348)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl0_95
  <=> c2_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2336,plain,
    ( ~ c2_1(a1348)
    | ~ spl0_25
    | ~ spl0_96
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2327,f710]) ).

fof(f2327,plain,
    ( ~ c1_1(a1348)
    | ~ c2_1(a1348)
    | ~ spl0_25
    | ~ spl0_165 ),
    inference(resolution,[],[f353,f1644]) ).

fof(f1644,plain,
    ( c3_1(a1348)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1642]) ).

fof(f2317,plain,
    ( spl0_169
    | ~ spl0_38
    | spl0_97
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2316,f724,f714,f410,f2053]) ).

fof(f714,plain,
    ( spl0_97
  <=> c2_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2316,plain,
    ( c3_1(a1344)
    | ~ spl0_38
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2315,f716]) ).

fof(f716,plain,
    ( ~ c2_1(a1344)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f2315,plain,
    ( c2_1(a1344)
    | c3_1(a1344)
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(resolution,[],[f726,f411]) ).

fof(f2312,plain,
    ( ~ spl0_160
    | ~ spl0_28
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2311,f564,f554,f364,f1385]) ).

fof(f1385,plain,
    ( spl0_160
  <=> c0_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2311,plain,
    ( ~ c0_1(a1338)
    | ~ spl0_28
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2218,f566]) ).

fof(f2218,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_28
    | ~ spl0_67 ),
    inference(resolution,[],[f365,f556]) ).

fof(f2297,plain,
    ( ~ spl0_158
    | ~ spl0_72
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2217,f570,f364,f580,f1182]) ).

fof(f1182,plain,
    ( spl0_158
  <=> c1_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f580,plain,
    ( spl0_72
  <=> c0_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f570,plain,
    ( spl0_70
  <=> c3_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2217,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(resolution,[],[f365,f572]) ).

fof(f572,plain,
    ( c3_1(a1328)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2292,plain,
    ( ~ spl0_38
    | ~ spl0_40
    | spl0_112
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_40
    | spl0_112
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f2282,f796]) ).

fof(f2282,plain,
    ( c2_1(a1330)
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f2277,f806]) ).

fof(f806,plain,
    ( c0_1(a1330)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl0_114
  <=> c0_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2277,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22) )
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f421,f411]) ).

fof(f421,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_40
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c2_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2259,plain,
    ( ~ spl0_38
    | spl0_115
    | spl0_116
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2258]) ).

fof(f2258,plain,
    ( $false
    | ~ spl0_38
    | spl0_115
    | spl0_116
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2257,f812]) ).

fof(f2257,plain,
    ( c3_1(a1326)
    | ~ spl0_38
    | spl0_116
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2247,f817]) ).

fof(f2247,plain,
    ( c2_1(a1326)
    | c3_1(a1326)
    | ~ spl0_38
    | ~ spl0_157 ),
    inference(resolution,[],[f411,f1099]) ).

fof(f1099,plain,
    ( c0_1(a1326)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1098,plain,
    ( spl0_157
  <=> c0_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2200,plain,
    ( ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2199]) ).

fof(f2199,plain,
    ( $false
    | ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f2198,f796]) ).

fof(f2198,plain,
    ( c2_1(a1330)
    | ~ spl0_48
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f2181,f801]) ).

fof(f2181,plain,
    ( c1_1(a1330)
    | c2_1(a1330)
    | ~ spl0_48
    | ~ spl0_114 ),
    inference(resolution,[],[f457,f806]) ).

fof(f2051,plain,
    ( spl0_76
    | spl0_168
    | ~ spl0_45
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1970,f612,f442,f2048,f602]) ).

fof(f1970,plain,
    ( c1_1(a1411)
    | c3_1(a1411)
    | ~ spl0_45
    | ~ spl0_78 ),
    inference(resolution,[],[f443,f614]) ).

fof(f2044,plain,
    ( ~ spl0_52
    | ~ spl0_58
    | spl0_85
    | spl0_87 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_58
    | spl0_85
    | spl0_87 ),
    inference(subsumption_resolution,[],[f2032,f662]) ).

fof(f662,plain,
    ( ~ c0_1(a1359)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_87
  <=> c0_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2032,plain,
    ( c0_1(a1359)
    | ~ spl0_52
    | ~ spl0_58
    | spl0_85 ),
    inference(resolution,[],[f2009,f652]) ).

fof(f652,plain,
    ( ~ c3_1(a1359)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_85
  <=> c3_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2009,plain,
    ( ! [X78] :
        ( c3_1(X78)
        | c0_1(X78) )
    | ~ spl0_52
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f507,f476]) ).

fof(f476,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | c0_1(X49)
        | c3_1(X49) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl0_52
  <=> ! [X49] :
        ( ~ c2_1(X49)
        | c0_1(X49)
        | c3_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f507,plain,
    ( ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c2_1(X78) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl0_58
  <=> ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2037,plain,
    ( ~ spl0_52
    | ~ spl0_58
    | spl0_133
    | spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_58
    | spl0_133
    | spl0_135 ),
    inference(subsumption_resolution,[],[f2026,f918]) ).

fof(f918,plain,
    ( ~ c0_1(a1316)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl0_135
  <=> c0_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2026,plain,
    ( c0_1(a1316)
    | ~ spl0_52
    | ~ spl0_58
    | spl0_133 ),
    inference(resolution,[],[f2009,f908]) ).

fof(f908,plain,
    ( ~ c3_1(a1316)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f906,plain,
    ( spl0_133
  <=> c3_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2015,plain,
    ( spl0_167
    | spl0_128
    | ~ spl0_52
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1987,f884,f475,f879,f2012]) ).

fof(f1987,plain,
    ( c0_1(a1320)
    | c3_1(a1320)
    | ~ spl0_52
    | ~ spl0_129 ),
    inference(resolution,[],[f476,f886]) ).

fof(f1997,plain,
    ( ~ spl0_52
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | ~ spl0_52
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1995,f892]) ).

fof(f892,plain,
    ( ~ c3_1(a1319)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_130
  <=> c3_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1995,plain,
    ( c3_1(a1319)
    | ~ spl0_52
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1986,f897]) ).

fof(f897,plain,
    ( ~ c0_1(a1319)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_131
  <=> c0_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1986,plain,
    ( c0_1(a1319)
    | c3_1(a1319)
    | ~ spl0_52
    | ~ spl0_132 ),
    inference(resolution,[],[f476,f902]) ).

fof(f902,plain,
    ( c2_1(a1319)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f900,plain,
    ( spl0_132
  <=> c2_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1985,plain,
    ( spl0_143
    | ~ spl0_45
    | spl0_142
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1984,f964,f954,f442,f959]) ).

fof(f1984,plain,
    ( c1_1(a1312)
    | ~ spl0_45
    | spl0_142
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1963,f956]) ).

fof(f956,plain,
    ( ~ c3_1(a1312)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f1963,plain,
    ( c1_1(a1312)
    | c3_1(a1312)
    | ~ spl0_45
    | ~ spl0_144 ),
    inference(resolution,[],[f443,f966]) ).

fof(f1952,plain,
    ( spl0_158
    | ~ spl0_39
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1951,f575,f570,f415,f1182]) ).

fof(f415,plain,
    ( spl0_39
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f575,plain,
    ( spl0_71
  <=> c2_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1951,plain,
    ( c1_1(a1328)
    | ~ spl0_39
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1950,f572]) ).

fof(f1950,plain,
    ( c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ spl0_39
    | ~ spl0_71 ),
    inference(resolution,[],[f577,f416]) ).

fof(f416,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c1_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f577,plain,
    ( c2_1(a1328)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1946,plain,
    ( ~ spl0_28
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1945]) ).

fof(f1945,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1944,f593]) ).

fof(f1944,plain,
    ( ~ c1_1(a1307)
    | ~ spl0_28
    | ~ spl0_75
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1943,f598]) ).

fof(f1943,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_28
    | ~ spl0_161 ),
    inference(resolution,[],[f1458,f365]) ).

fof(f1458,plain,
    ( c3_1(a1307)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1942,plain,
    ( spl0_161
    | ~ spl0_32
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1941,f591,f586,f381,f1457]) ).

fof(f381,plain,
    ( spl0_32
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f586,plain,
    ( spl0_73
  <=> c2_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1941,plain,
    ( c3_1(a1307)
    | ~ spl0_32
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1929,f593]) ).

fof(f1929,plain,
    ( c3_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f382,f588]) ).

fof(f588,plain,
    ( c2_1(a1307)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f382,plain,
    ( ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1933,plain,
    ( ~ spl0_32
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | ~ spl0_32
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1931,f790]) ).

fof(f1931,plain,
    ( ~ c1_1(a1331)
    | ~ spl0_32
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1924,f780]) ).

fof(f1924,plain,
    ( c3_1(a1331)
    | ~ c1_1(a1331)
    | ~ spl0_32
    | ~ spl0_110 ),
    inference(resolution,[],[f382,f785]) ).

fof(f785,plain,
    ( c2_1(a1331)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl0_110
  <=> c2_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1905,plain,
    ( ~ spl0_38
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_38
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1903,f604]) ).

fof(f1903,plain,
    ( c3_1(a1411)
    | ~ spl0_38
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1897,f609]) ).

fof(f1897,plain,
    ( c2_1(a1411)
    | c3_1(a1411)
    | ~ spl0_38
    | ~ spl0_78 ),
    inference(resolution,[],[f411,f614]) ).

fof(f1767,plain,
    ( spl0_162
    | ~ spl0_51
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1766,f788,f783,f470,f1562]) ).

fof(f470,plain,
    ( spl0_51
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1766,plain,
    ( c0_1(a1331)
    | ~ spl0_51
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1750,f790]) ).

fof(f1750,plain,
    ( c0_1(a1331)
    | ~ c1_1(a1331)
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(resolution,[],[f471,f785]) ).

fof(f471,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1765,plain,
    ( ~ spl0_69
    | ~ spl0_51
    | ~ spl0_68
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1761,f1385,f559,f470,f564]) ).

fof(f1761,plain,
    ( ~ c1_1(a1338)
    | ~ spl0_51
    | ~ spl0_68
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1752,f1386]) ).

fof(f1386,plain,
    ( ~ c0_1(a1338)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1385]) ).

fof(f1752,plain,
    ( c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(resolution,[],[f471,f561]) ).

fof(f1720,plain,
    ( ~ spl0_166
    | ~ spl0_34
    | spl0_79
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1719,f628,f618,f392,f1711]) ).

fof(f1719,plain,
    ( ~ c1_1(a1394)
    | ~ spl0_34
    | spl0_79
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1716,f630]) ).

fof(f1716,plain,
    ( ~ c1_1(a1394)
    | ~ c0_1(a1394)
    | ~ spl0_34
    | spl0_79 ),
    inference(resolution,[],[f620,f393]) ).

fof(f1599,plain,
    ( ~ spl0_108
    | ~ spl0_37
    | spl0_106
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1595,f767,f762,f405,f772]) ).

fof(f772,plain,
    ( spl0_108
  <=> c1_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f762,plain,
    ( spl0_106
  <=> c3_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f767,plain,
    ( spl0_107
  <=> c2_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1595,plain,
    ( ~ c1_1(a1333)
    | ~ spl0_37
    | spl0_106
    | spl0_107 ),
    inference(subsumption_resolution,[],[f1582,f769]) ).

fof(f769,plain,
    ( ~ c2_1(a1333)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f1582,plain,
    ( c2_1(a1333)
    | ~ c1_1(a1333)
    | ~ spl0_37
    | spl0_106 ),
    inference(resolution,[],[f406,f764]) ).

fof(f764,plain,
    ( ~ c3_1(a1333)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f1462,plain,
    ( ~ spl0_75
    | spl0_161
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1454,f586,f385,f1457,f596]) ).

fof(f385,plain,
    ( spl0_33
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1454,plain,
    ( c3_1(a1307)
    | ~ c0_1(a1307)
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(resolution,[],[f588,f386]) ).

fof(f386,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1455,plain,
    ( ~ spl0_74
    | ~ spl0_75
    | ~ spl0_29
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1451,f586,f368,f596,f591]) ).

fof(f1451,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_29
    | ~ spl0_73 ),
    inference(resolution,[],[f588,f369]) ).

fof(f369,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1445,plain,
    ( ~ spl0_33
    | ~ spl0_38
    | ~ spl0_54
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_54
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1437,f668]) ).

fof(f668,plain,
    ( ~ c3_1(a1356)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_88
  <=> c3_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1437,plain,
    ( c3_1(a1356)
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_54
    | ~ spl0_89 ),
    inference(resolution,[],[f1392,f673]) ).

fof(f673,plain,
    ( c1_1(a1356)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl0_89
  <=> c1_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1392,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | c3_1(X58) )
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f486,f1358]) ).

fof(f1358,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | ~ c0_1(X17) )
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f411,f386]) ).

fof(f1429,plain,
    ( ~ spl0_160
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1383,f564,f559,f368,f1385]) ).

fof(f1383,plain,
    ( ~ c0_1(a1338)
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1376,f566]) ).

fof(f1376,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_29
    | ~ spl0_68 ),
    inference(resolution,[],[f369,f561]) ).

fof(f1426,plain,
    ( ~ spl0_49
    | ~ spl0_56
    | spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1425,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_56
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1419,f828]) ).

fof(f1419,plain,
    ( c0_1(a1325)
    | ~ spl0_49
    | ~ spl0_56
    | ~ spl0_119 ),
    inference(resolution,[],[f1391,f833]) ).

fof(f1391,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65) )
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f495,f464]) ).

fof(f495,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c2_1(X65) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f494,plain,
    ( spl0_56
  <=> ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c2_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1424,plain,
    ( ~ spl0_49
    | ~ spl0_56
    | spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_56
    | spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1416,f929]) ).

fof(f929,plain,
    ( ~ c0_1(a1315)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_137
  <=> c0_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1416,plain,
    ( c0_1(a1315)
    | ~ spl0_49
    | ~ spl0_56
    | ~ spl0_138 ),
    inference(resolution,[],[f1391,f934]) ).

fof(f934,plain,
    ( c3_1(a1315)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f932,plain,
    ( spl0_138
  <=> c3_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1402,plain,
    ( ~ spl0_158
    | ~ spl0_72
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1375,f575,f368,f580,f1182]) ).

fof(f1375,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(resolution,[],[f369,f577]) ).

fof(f1388,plain,
    ( ~ spl0_67
    | spl0_160
    | ~ spl0_49
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1310,f559,f463,f1385,f554]) ).

fof(f1310,plain,
    ( c0_1(a1338)
    | ~ c3_1(a1338)
    | ~ spl0_49
    | ~ spl0_68 ),
    inference(resolution,[],[f464,f561]) ).

fof(f1382,plain,
    ( ~ spl0_29
    | ~ spl0_49
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_49
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1380,f566]) ).

fof(f1380,plain,
    ( ~ c1_1(a1338)
    | ~ spl0_29
    | ~ spl0_49
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1376,f1315]) ).

fof(f1315,plain,
    ( c0_1(a1338)
    | ~ spl0_49
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1310,f556]) ).

fof(f1368,plain,
    ( ~ spl0_144
    | ~ spl0_33
    | ~ spl0_38
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1359,f954,f410,f385,f964]) ).

fof(f1359,plain,
    ( ~ c0_1(a1312)
    | ~ spl0_33
    | ~ spl0_38
    | spl0_142 ),
    inference(resolution,[],[f1358,f956]) ).

fof(f1355,plain,
    ( ~ spl0_42
    | ~ spl0_48
    | spl0_121
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_48
    | spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1348,f854]) ).

fof(f1348,plain,
    ( ~ c0_1(a1324)
    | ~ spl0_42
    | ~ spl0_48
    | spl0_121 ),
    inference(resolution,[],[f1327,f844]) ).

fof(f1327,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | ~ c0_1(X38) )
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f457,f429]) ).

fof(f1353,plain,
    ( ~ spl0_42
    | ~ spl0_48
    | spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1352]) ).

fof(f1352,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_48
    | spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1345,f966]) ).

fof(f1345,plain,
    ( ~ c0_1(a1312)
    | ~ spl0_42
    | ~ spl0_48
    | spl0_143 ),
    inference(resolution,[],[f1327,f961]) ).

fof(f1325,plain,
    ( ~ spl0_144
    | ~ spl0_34
    | ~ spl0_45
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1318,f954,f442,f392,f964]) ).

fof(f1318,plain,
    ( ~ c0_1(a1312)
    | ~ spl0_34
    | ~ spl0_45
    | spl0_142 ),
    inference(resolution,[],[f956,f1135]) ).

fof(f1135,plain,
    ( ! [X30] :
        ( c3_1(X30)
        | ~ c0_1(X30) )
    | ~ spl0_34
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f443,f393]) ).

fof(f1313,plain,
    ( ~ spl0_49
    | spl0_103
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1312,plain,
    ( $false
    | ~ spl0_49
    | spl0_103
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1311,f753]) ).

fof(f753,plain,
    ( c3_1(a1334)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_104
  <=> c3_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1311,plain,
    ( ~ c3_1(a1334)
    | ~ spl0_49
    | spl0_103
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1306,f748]) ).

fof(f748,plain,
    ( ~ c0_1(a1334)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl0_103
  <=> c0_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1306,plain,
    ( c0_1(a1334)
    | ~ c3_1(a1334)
    | ~ spl0_49
    | ~ spl0_105 ),
    inference(resolution,[],[f464,f758]) ).

fof(f758,plain,
    ( c2_1(a1334)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f756,plain,
    ( spl0_105
  <=> c2_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1280,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | spl0_100
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1279,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | spl0_100
    | spl0_101 ),
    inference(subsumption_resolution,[],[f1269,f737]) ).

fof(f1269,plain,
    ( c0_1(a1339)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_100 ),
    inference(resolution,[],[f1252,f732]) ).

fof(f732,plain,
    ( ~ c2_1(a1339)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_100
  <=> c2_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1252,plain,
    ( ! [X78] :
        ( c2_1(X78)
        | c0_1(X78) )
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f507,f495]) ).

fof(f1278,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | spl0_116
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1277]) ).

fof(f1277,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | spl0_116
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1267,f1100]) ).

fof(f1100,plain,
    ( ~ c0_1(a1326)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1267,plain,
    ( c0_1(a1326)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_116 ),
    inference(resolution,[],[f1252,f817]) ).

fof(f1239,plain,
    ( ~ spl0_57
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1238]) ).

fof(f1238,plain,
    ( $false
    | ~ spl0_57
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1237,f732]) ).

fof(f1237,plain,
    ( c2_1(a1339)
    | ~ spl0_57
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1228,f737]) ).

fof(f1228,plain,
    ( c0_1(a1339)
    | c2_1(a1339)
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(resolution,[],[f500,f742]) ).

fof(f500,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl0_57
  <=> ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1206,plain,
    ( ~ spl0_33
    | ~ spl0_52
    | ~ spl0_55
    | spl0_115
    | spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_52
    | ~ spl0_55
    | spl0_115
    | spl0_117 ),
    inference(subsumption_resolution,[],[f1202,f822]) ).

fof(f1202,plain,
    ( c1_1(a1326)
    | ~ spl0_33
    | ~ spl0_52
    | ~ spl0_55
    | spl0_115 ),
    inference(resolution,[],[f1200,f812]) ).

fof(f1200,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c1_1(X62) )
    | ~ spl0_33
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f491,f1188]) ).

fof(f1188,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f476,f386]) ).

fof(f1185,plain,
    ( ~ spl0_72
    | spl0_158
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1177,f575,f428,f1182,f580]) ).

fof(f1177,plain,
    ( c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f577,f429]) ).

fof(f1175,plain,
    ( ~ spl0_51
    | spl0_94
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | ~ spl0_51
    | spl0_94
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1173,f710]) ).

fof(f1173,plain,
    ( ~ c1_1(a1348)
    | ~ spl0_51
    | spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1167,f700]) ).

fof(f700,plain,
    ( ~ c0_1(a1348)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f1167,plain,
    ( c0_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(resolution,[],[f471,f705]) ).

fof(f1156,plain,
    ( ~ spl0_39
    | ~ spl0_47
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_47
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1147,f844]) ).

fof(f1147,plain,
    ( c1_1(a1324)
    | ~ spl0_39
    | ~ spl0_47
    | ~ spl0_122 ),
    inference(resolution,[],[f1144,f849]) ).

fof(f1144,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31) )
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f451,f416]) ).

fof(f1143,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | spl0_76
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_45
    | spl0_76
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1140,f614]) ).

fof(f1140,plain,
    ( ~ c0_1(a1411)
    | ~ spl0_34
    | ~ spl0_45
    | spl0_76 ),
    inference(resolution,[],[f1135,f604]) ).

fof(f1125,plain,
    ( ~ spl0_39
    | ~ spl0_40
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_40
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1123,f849]) ).

fof(f1123,plain,
    ( ~ c3_1(a1324)
    | ~ spl0_39
    | ~ spl0_40
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1120,f844]) ).

fof(f1120,plain,
    ( c1_1(a1324)
    | ~ c3_1(a1324)
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(resolution,[],[f1107,f416]) ).

fof(f1107,plain,
    ( c2_1(a1324)
    | ~ spl0_40
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1102,f849]) ).

fof(f1102,plain,
    ( c2_1(a1324)
    | ~ c3_1(a1324)
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(resolution,[],[f421,f854]) ).

fof(f1117,plain,
    ( ~ spl0_41
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | ~ spl0_41
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1115,f849]) ).

fof(f1115,plain,
    ( ~ c3_1(a1324)
    | ~ spl0_41
    | spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1110,f844]) ).

fof(f1110,plain,
    ( c1_1(a1324)
    | ~ c3_1(a1324)
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(resolution,[],[f425,f854]) ).

fof(f425,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | ~ c3_1(X25) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_41
  <=> ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1076,plain,
    ( ~ spl0_32
    | ~ spl0_37
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_37
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1072,f673]) ).

fof(f1072,plain,
    ( ~ c1_1(a1356)
    | ~ spl0_32
    | ~ spl0_37
    | spl0_88 ),
    inference(resolution,[],[f1070,f668]) ).

fof(f1070,plain,
    ( ! [X15] :
        ( c3_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_32
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f406,f382]) ).

fof(f1069,plain,
    ( ~ spl0_90
    | ~ spl0_34
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1065,f671,f666,f392,f676]) ).

fof(f676,plain,
    ( spl0_90
  <=> c0_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1065,plain,
    ( ~ c0_1(a1356)
    | ~ spl0_34
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1062,f673]) ).

fof(f1062,plain,
    ( ~ c1_1(a1356)
    | ~ c0_1(a1356)
    | ~ spl0_34
    | spl0_88 ),
    inference(resolution,[],[f393,f668]) ).

fof(f1050,plain,
    ( ~ spl0_96
    | ~ spl0_25
    | ~ spl0_32
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1049,f703,f381,f352,f708]) ).

fof(f1049,plain,
    ( ~ c1_1(a1348)
    | ~ spl0_25
    | ~ spl0_32
    | ~ spl0_95 ),
    inference(resolution,[],[f705,f1039]) ).

fof(f1039,plain,
    ( ! [X7] :
        ( ~ c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_25
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f382,f353]) ).

fof(f1038,plain,
    ( ~ spl0_28
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1037]) ).

fof(f1037,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1036,f545]) ).

fof(f545,plain,
    ( c1_1(a1372)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl0_65
  <=> c1_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1036,plain,
    ( ~ c1_1(a1372)
    | ~ spl0_28
    | ~ spl0_64
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1035,f550]) ).

fof(f550,plain,
    ( c0_1(a1372)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_66
  <=> c0_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1035,plain,
    ( ~ c0_1(a1372)
    | ~ c1_1(a1372)
    | ~ spl0_28
    | ~ spl0_64 ),
    inference(resolution,[],[f365,f540]) ).

fof(f540,plain,
    ( c3_1(a1372)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl0_64
  <=> c3_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1016,plain,
    ( ~ spl0_8
    | spl0_24 ),
    inference(avatar_split_clause,[],[f11,f348,f271]) ).

fof(f271,plain,
    ( spl0_8
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f348,plain,
    ( spl0_24
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp20
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp14
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp22
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp21
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp29
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X42] :
          ( ~ c0_1(X42)
          | c3_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X79] :
          ( ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X85] :
          ( ~ c2_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp4
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X97] :
          ( c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X101] :
          ( ~ c2_1(X101)
          | c3_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp20
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp14
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp22
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp21
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp29
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X42] :
          ( ~ c0_1(X42)
          | c3_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X79] :
          ( ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X85] :
          ( ~ c2_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp4
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X97] :
          ( c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X101] :
          ( ~ c2_1(X101)
          | c3_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp29
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp13
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp17
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp5
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp6
      | hskp9
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp12
      | hskp14
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp18
      | hskp30
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp11
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp24
      | hskp20
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c3_1(X13) ) ) )
    & ( hskp8
      | hskp14
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp13
      | hskp14
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp16
      | hskp14
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp17
      | hskp4
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp27
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp23
      | hskp22
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp2
      | hskp22
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp27
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp0
      | hskp21
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp0
      | hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp2
      | hskp20
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp1
      | hskp10
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp15
      | hskp19
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp1
      | hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp7
      | hskp8
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp18
      | hskp29
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp14
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp15
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c3_1(X42)
            | c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp0
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp17
      | hskp16
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp28
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp15
      | hskp14
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp4
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp28
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp12
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c3_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp13
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp12
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp11
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp9
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp6
      | hskp10
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp9
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp8
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp6
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | ~ c1_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp6
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | c3_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp7
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp6
      | hskp5
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp2
      | hskp4
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp3
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp1
      | hskp2
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp1
      | hskp27
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp0
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c3_1(X101)
            | c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp23
          | hskp0
          | hskp6 )
        & ( hskp16
          | hskp5
          | hskp18 )
        & ( hskp23
          | hskp1
          | hskp2 )
        & ( hskp18
          | hskp20 )
        & ( hskp12
          | hskp26 )
        & ( hskp20
          | hskp29
          | hskp26 )
        & ( hskp1
          | hskp4
          | hskp14 )
        & ( hskp6
          | hskp20
          | hskp25 )
        & ( hskp7
          | hskp21
          | hskp3 )
        & ( hskp7
          | hskp4
          | hskp3 )
        & ( hskp7
          | hskp1
          | hskp28 )
        & ( hskp14
          | hskp25
          | hskp28 )
        & ( hskp9
          | hskp14
          | hskp19 )
        & ( hskp9
          | hskp2
          | hskp30 )
        & ( hskp18
          | hskp14
          | hskp27 )
        & ( hskp11
          | hskp22
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp29
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp13
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp17
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp6
          | hskp9
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp12
          | hskp14
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp18
          | hskp30
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp11
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp24
          | hskp20
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c3_1(X13) ) ) )
        & ( hskp8
          | hskp14
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp13
          | hskp14
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp16
          | hskp14
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp17
          | hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp27
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp23
          | hskp22
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp2
          | hskp22
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp27
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp0
          | hskp21
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp0
          | hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp2
          | hskp20
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp1
          | hskp10
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp15
          | hskp19
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp1
          | hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp7
          | hskp8
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp18
          | hskp29
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp15
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp17
          | hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp28
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | hskp14
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp28
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp12
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp13
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp11
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp9
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp6
          | hskp10
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp9
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp8
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp6
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp6
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c3_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp7
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp6
          | hskp5
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp2
          | hskp4
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp3
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp1
          | hskp2
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp1
          | hskp27
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp0
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c3_1(X101)
                | c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ( c3_1(a1372)
            & c1_1(a1372)
            & c0_1(a1372)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1338)
            & c2_1(a1338)
            & c1_1(a1338)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1328)
            & c2_1(a1328)
            & c0_1(a1328)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a1307)
            & c1_1(a1307)
            & c0_1(a1307)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1411)
            & ~ c2_1(a1411)
            & c0_1(a1411)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1394)
            & c2_1(a1394)
            & c0_1(a1394)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1370)
            & ~ c1_1(a1370)
            & c2_1(a1370)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1359)
            & ~ c1_1(a1359)
            & ~ c0_1(a1359)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1356)
            & c1_1(a1356)
            & c0_1(a1356)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a1352)
            & ~ c0_1(a1352)
            & c3_1(a1352)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a1348)
            & c2_1(a1348)
            & c1_1(a1348)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1344)
            & c1_1(a1344)
            & c0_1(a1344)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1339)
            & ~ c0_1(a1339)
            & c1_1(a1339)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1334)
            & c3_1(a1334)
            & c2_1(a1334)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1333)
            & ~ c2_1(a1333)
            & c1_1(a1333)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1331)
            & c2_1(a1331)
            & c1_1(a1331)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1330)
            & ~ c1_1(a1330)
            & c0_1(a1330)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1326)
            & ~ c2_1(a1326)
            & ~ c1_1(a1326)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1325)
            & c3_1(a1325)
            & c1_1(a1325)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1324)
            & c3_1(a1324)
            & c0_1(a1324)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a1321)
            & c3_1(a1321)
            & c0_1(a1321)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1320)
            & ~ c0_1(a1320)
            & c2_1(a1320)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1319)
            & ~ c0_1(a1319)
            & c2_1(a1319)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1316)
            & ~ c2_1(a1316)
            & ~ c0_1(a1316)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a1315)
            & ~ c0_1(a1315)
            & c3_1(a1315)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1314)
            & ~ c0_1(a1314)
            & c1_1(a1314)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1312)
            & ~ c1_1(a1312)
            & c0_1(a1312)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a1311)
            & c2_1(a1311)
            & c0_1(a1311)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1309)
            & c3_1(a1309)
            & c1_1(a1309)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1308)
            & ~ c1_1(a1308)
            & c3_1(a1308)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1306)
            & ~ c1_1(a1306)
            & ~ c0_1(a1306)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp23
          | hskp0
          | hskp6 )
        & ( hskp16
          | hskp5
          | hskp18 )
        & ( hskp23
          | hskp1
          | hskp2 )
        & ( hskp18
          | hskp20 )
        & ( hskp12
          | hskp26 )
        & ( hskp20
          | hskp29
          | hskp26 )
        & ( hskp1
          | hskp4
          | hskp14 )
        & ( hskp6
          | hskp20
          | hskp25 )
        & ( hskp7
          | hskp21
          | hskp3 )
        & ( hskp7
          | hskp4
          | hskp3 )
        & ( hskp7
          | hskp1
          | hskp28 )
        & ( hskp14
          | hskp25
          | hskp28 )
        & ( hskp9
          | hskp14
          | hskp19 )
        & ( hskp9
          | hskp2
          | hskp30 )
        & ( hskp18
          | hskp14
          | hskp27 )
        & ( hskp11
          | hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) ) )
        & ( hskp29
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( hskp13
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( hskp17
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp6
          | hskp9
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) ) )
        & ( hskp12
          | hskp14
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) ) )
        & ( hskp18
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp24
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp8
          | hskp14
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp13
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp16
          | hskp14
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp17
          | hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp27
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp23
          | hskp22
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | hskp22
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp27
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp0
          | hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp2
          | hskp20
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp1
          | hskp10
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp15
          | hskp19
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp1
          | hskp2
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp7
          | hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp18
          | hskp29
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp17
          | hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp28
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | hskp14
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp4
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp12
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp6
          | hskp10
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp6
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp7
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp6
          | hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp2
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp27
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1372)
            & c1_1(a1372)
            & c0_1(a1372)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1338)
            & c2_1(a1338)
            & c1_1(a1338)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1328)
            & c2_1(a1328)
            & c0_1(a1328)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a1307)
            & c1_1(a1307)
            & c0_1(a1307)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1411)
            & ~ c2_1(a1411)
            & c0_1(a1411)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1394)
            & c2_1(a1394)
            & c0_1(a1394)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1370)
            & ~ c1_1(a1370)
            & c2_1(a1370)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1359)
            & ~ c1_1(a1359)
            & ~ c0_1(a1359)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1356)
            & c1_1(a1356)
            & c0_1(a1356)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a1352)
            & ~ c0_1(a1352)
            & c3_1(a1352)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a1348)
            & c2_1(a1348)
            & c1_1(a1348)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1344)
            & c1_1(a1344)
            & c0_1(a1344)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1339)
            & ~ c0_1(a1339)
            & c1_1(a1339)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1334)
            & c3_1(a1334)
            & c2_1(a1334)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1333)
            & ~ c2_1(a1333)
            & c1_1(a1333)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1331)
            & c2_1(a1331)
            & c1_1(a1331)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1330)
            & ~ c1_1(a1330)
            & c0_1(a1330)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1326)
            & ~ c2_1(a1326)
            & ~ c1_1(a1326)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1325)
            & c3_1(a1325)
            & c1_1(a1325)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1324)
            & c3_1(a1324)
            & c0_1(a1324)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a1321)
            & c3_1(a1321)
            & c0_1(a1321)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1320)
            & ~ c0_1(a1320)
            & c2_1(a1320)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1319)
            & ~ c0_1(a1319)
            & c2_1(a1319)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1316)
            & ~ c2_1(a1316)
            & ~ c0_1(a1316)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a1315)
            & ~ c0_1(a1315)
            & c3_1(a1315)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1314)
            & ~ c0_1(a1314)
            & c1_1(a1314)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1312)
            & ~ c1_1(a1312)
            & c0_1(a1312)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a1311)
            & c2_1(a1311)
            & c0_1(a1311)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1309)
            & c3_1(a1309)
            & c1_1(a1309)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1308)
            & ~ c1_1(a1308)
            & c3_1(a1308)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1306)
            & ~ c1_1(a1306)
            & ~ c0_1(a1306)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp23
        | hskp0
        | hskp6 )
      & ( hskp16
        | hskp5
        | hskp18 )
      & ( hskp23
        | hskp1
        | hskp2 )
      & ( hskp18
        | hskp20 )
      & ( hskp12
        | hskp26 )
      & ( hskp20
        | hskp29
        | hskp26 )
      & ( hskp1
        | hskp4
        | hskp14 )
      & ( hskp6
        | hskp20
        | hskp25 )
      & ( hskp7
        | hskp21
        | hskp3 )
      & ( hskp7
        | hskp4
        | hskp3 )
      & ( hskp7
        | hskp1
        | hskp28 )
      & ( hskp14
        | hskp25
        | hskp28 )
      & ( hskp9
        | hskp14
        | hskp19 )
      & ( hskp9
        | hskp2
        | hskp30 )
      & ( hskp18
        | hskp14
        | hskp27 )
      & ( hskp11
        | hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) ) )
      & ( hskp29
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( hskp13
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( hskp17
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp6
        | hskp9
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) ) )
      & ( hskp12
        | hskp14
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) ) )
      & ( hskp18
        | hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) ) )
      & ( hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp24
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp8
        | hskp14
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp13
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp16
        | hskp14
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp17
        | hskp4
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp27
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp23
        | hskp22
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | hskp22
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp27
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp0
        | hskp12
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp2
        | hskp20
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp1
        | hskp10
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp15
        | hskp19
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp1
        | hskp2
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp7
        | hskp8
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp18
        | hskp29
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp14
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c0_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp17
        | hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp28
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp15
        | hskp14
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c0_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp4
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp12
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp6
        | hskp10
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp8
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp6
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c3_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp7
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c1_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp6
        | hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp2
        | hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp27
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c0_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | ~ c1_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1372)
          & c1_1(a1372)
          & c0_1(a1372)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a1338)
          & c2_1(a1338)
          & c1_1(a1338)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1328)
          & c2_1(a1328)
          & c0_1(a1328)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a1307)
          & c1_1(a1307)
          & c0_1(a1307)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a1411)
          & ~ c2_1(a1411)
          & c0_1(a1411)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a1394)
          & c2_1(a1394)
          & c0_1(a1394)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a1370)
          & ~ c1_1(a1370)
          & c2_1(a1370)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1359)
          & ~ c1_1(a1359)
          & ~ c0_1(a1359)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1356)
          & c1_1(a1356)
          & c0_1(a1356)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a1352)
          & ~ c0_1(a1352)
          & c3_1(a1352)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a1348)
          & c2_1(a1348)
          & c1_1(a1348)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a1344)
          & c1_1(a1344)
          & c0_1(a1344)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1339)
          & ~ c0_1(a1339)
          & c1_1(a1339)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1334)
          & c3_1(a1334)
          & c2_1(a1334)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1333)
          & ~ c2_1(a1333)
          & c1_1(a1333)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1331)
          & c2_1(a1331)
          & c1_1(a1331)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1330)
          & ~ c1_1(a1330)
          & c0_1(a1330)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1326)
          & ~ c2_1(a1326)
          & ~ c1_1(a1326)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1325)
          & c3_1(a1325)
          & c1_1(a1325)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1324)
          & c3_1(a1324)
          & c0_1(a1324)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a1321)
          & c3_1(a1321)
          & c0_1(a1321)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a1320)
          & ~ c0_1(a1320)
          & c2_1(a1320)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a1319)
          & ~ c0_1(a1319)
          & c2_1(a1319)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1316)
          & ~ c2_1(a1316)
          & ~ c0_1(a1316)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a1315)
          & ~ c0_1(a1315)
          & c3_1(a1315)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1314)
          & ~ c0_1(a1314)
          & c1_1(a1314)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1312)
          & ~ c1_1(a1312)
          & c0_1(a1312)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a1311)
          & c2_1(a1311)
          & c0_1(a1311)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1309)
          & c3_1(a1309)
          & c1_1(a1309)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1308)
          & ~ c1_1(a1308)
          & c3_1(a1308)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1306)
          & ~ c1_1(a1306)
          & ~ c0_1(a1306)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f968,plain,
    ( ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f23,f348,f299]) ).

fof(f299,plain,
    ( spl0_14
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f967,plain,
    ( ~ spl0_14
    | spl0_144 ),
    inference(avatar_split_clause,[],[f24,f964,f299]) ).

fof(f24,plain,
    ( c0_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_14
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f25,f959,f299]) ).

fof(f25,plain,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_14
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f26,f954,f299]) ).

fof(f26,plain,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_1
    | spl0_138 ),
    inference(avatar_split_clause,[],[f32,f932,f241]) ).

fof(f241,plain,
    ( spl0_1
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f32,plain,
    ( c3_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_1
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f33,f927,f241]) ).

fof(f33,plain,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_18
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f36,f916,f317]) ).

fof(f317,plain,
    ( spl0_18
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f36,plain,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_18
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f38,f906,f317]) ).

fof(f38,plain,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_36
    | spl0_132 ),
    inference(avatar_split_clause,[],[f40,f900,f400]) ).

fof(f400,plain,
    ( spl0_36
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f40,plain,
    ( c2_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_36
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f41,f895,f400]) ).

fof(f41,plain,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_36
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f42,f890,f400]) ).

fof(f42,plain,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_21
    | spl0_129 ),
    inference(avatar_split_clause,[],[f44,f884,f333]) ).

fof(f333,plain,
    ( spl0_21
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f44,plain,
    ( c2_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_21
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f45,f879,f333]) ).

fof(f45,plain,
    ( ~ c0_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_27
    | spl0_123 ),
    inference(avatar_split_clause,[],[f52,f852,f359]) ).

fof(f359,plain,
    ( spl0_27
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f52,plain,
    ( c0_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_27
    | spl0_122 ),
    inference(avatar_split_clause,[],[f53,f847,f359]) ).

fof(f53,plain,
    ( c3_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_27
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f54,f842,f359]) ).

fof(f54,plain,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( ~ spl0_11
    | spl0_120 ),
    inference(avatar_split_clause,[],[f56,f836,f285]) ).

fof(f285,plain,
    ( spl0_11
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f56,plain,
    ( c1_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f57,f831,f285]) ).

fof(f57,plain,
    ( c3_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_11
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f58,f826,f285]) ).

fof(f58,plain,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( ~ spl0_30
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f60,f820,f371]) ).

fof(f371,plain,
    ( spl0_30
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f60,plain,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_30
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f61,f815,f371]) ).

fof(f61,plain,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f813,plain,
    ( ~ spl0_30
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f810,f371]) ).

fof(f62,plain,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_13
    | spl0_24 ),
    inference(avatar_split_clause,[],[f63,f348,f295]) ).

fof(f295,plain,
    ( spl0_13
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f63,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_13
    | spl0_114 ),
    inference(avatar_split_clause,[],[f64,f804,f295]) ).

fof(f64,plain,
    ( c0_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_13
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f65,f799,f295]) ).

fof(f65,plain,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f66,f794,f295]) ).

fof(f66,plain,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_46
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f788,f445]) ).

fof(f445,plain,
    ( spl0_46
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f68,plain,
    ( c1_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_46
    | spl0_110 ),
    inference(avatar_split_clause,[],[f69,f783,f445]) ).

fof(f69,plain,
    ( c2_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_46
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f778,f445]) ).

fof(f70,plain,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_6
    | spl0_108 ),
    inference(avatar_split_clause,[],[f72,f772,f262]) ).

fof(f262,plain,
    ( spl0_6
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f72,plain,
    ( c1_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_6
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f73,f767,f262]) ).

fof(f73,plain,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_6
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f74,f762,f262]) ).

fof(f74,plain,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_31
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f756,f376]) ).

fof(f376,plain,
    ( spl0_31
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f76,plain,
    ( c2_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_31
    | spl0_104 ),
    inference(avatar_split_clause,[],[f77,f751,f376]) ).

fof(f77,plain,
    ( c3_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f746,f376]) ).

fof(f78,plain,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( ~ spl0_4
    | spl0_102 ),
    inference(avatar_split_clause,[],[f80,f740,f254]) ).

fof(f254,plain,
    ( spl0_4
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f80,plain,
    ( c1_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_4
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f735,f254]) ).

fof(f81,plain,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_4
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f730,f254]) ).

fof(f82,plain,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_20
    | spl0_99 ),
    inference(avatar_split_clause,[],[f84,f724,f329]) ).

fof(f329,plain,
    ( spl0_20
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f84,plain,
    ( c0_1(a1344)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_20
    | spl0_98 ),
    inference(avatar_split_clause,[],[f85,f719,f329]) ).

fof(f85,plain,
    ( c1_1(a1344)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_20
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f86,f714,f329]) ).

fof(f86,plain,
    ( ~ c2_1(a1344)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl0_9
    | spl0_96 ),
    inference(avatar_split_clause,[],[f88,f708,f276]) ).

fof(f276,plain,
    ( spl0_9
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f88,plain,
    ( c1_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_9
    | spl0_95 ),
    inference(avatar_split_clause,[],[f89,f703,f276]) ).

fof(f89,plain,
    ( c2_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f90,f698,f276]) ).

fof(f90,plain,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl0_26
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f676,f355]) ).

fof(f355,plain,
    ( spl0_26
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f96,plain,
    ( c0_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_26
    | spl0_89 ),
    inference(avatar_split_clause,[],[f97,f671,f355]) ).

fof(f97,plain,
    ( c1_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_26
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f666,f355]) ).

fof(f98,plain,
    ( ~ c3_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_3
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f100,f660,f249]) ).

fof(f249,plain,
    ( spl0_3
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f100,plain,
    ( ~ c0_1(a1359)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_3
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f102,f650,f249]) ).

fof(f102,plain,
    ( ~ c3_1(a1359)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_15
    | spl0_81 ),
    inference(avatar_split_clause,[],[f108,f628,f304]) ).

fof(f304,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f108,plain,
    ( c0_1(a1394)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_15
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f110,f618,f304]) ).

fof(f110,plain,
    ( ~ c3_1(a1394)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_10
    | spl0_78 ),
    inference(avatar_split_clause,[],[f112,f612,f281]) ).

fof(f281,plain,
    ( spl0_10
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f112,plain,
    ( c0_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_10
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f113,f607,f281]) ).

fof(f113,plain,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_10
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f114,f602,f281]) ).

fof(f114,plain,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_23
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f596,f343]) ).

fof(f343,plain,
    ( spl0_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f116,plain,
    ( c0_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_23
    | spl0_74 ),
    inference(avatar_split_clause,[],[f117,f591,f343]) ).

fof(f117,plain,
    ( c1_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(avatar_split_clause,[],[f118,f586,f343]) ).

fof(f118,plain,
    ( c2_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_19
    | spl0_72 ),
    inference(avatar_split_clause,[],[f120,f580,f323]) ).

fof(f323,plain,
    ( spl0_19
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f120,plain,
    ( c0_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_19
    | spl0_71 ),
    inference(avatar_split_clause,[],[f121,f575,f323]) ).

fof(f121,plain,
    ( c2_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_19
    | spl0_70 ),
    inference(avatar_split_clause,[],[f122,f570,f323]) ).

fof(f122,plain,
    ( c3_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_12
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f564,f290]) ).

fof(f290,plain,
    ( spl0_12
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f124,plain,
    ( c1_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_12
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f559,f290]) ).

fof(f125,plain,
    ( c2_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_12
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f554,f290]) ).

fof(f126,plain,
    ( c3_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_22
    | spl0_66 ),
    inference(avatar_split_clause,[],[f128,f548,f338]) ).

fof(f338,plain,
    ( spl0_22
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f128,plain,
    ( c0_1(a1372)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_22
    | spl0_65 ),
    inference(avatar_split_clause,[],[f129,f543,f338]) ).

fof(f129,plain,
    ( c1_1(a1372)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_22
    | spl0_64 ),
    inference(avatar_split_clause,[],[f130,f538,f338]) ).

fof(f130,plain,
    ( c3_1(a1372)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_58
    | ~ spl0_24
    | spl0_52
    | spl0_1 ),
    inference(avatar_split_clause,[],[f212,f241,f475,f348,f506]) ).

fof(f212,plain,
    ! [X86,X85] :
      ( hskp6
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X86,X85] :
      ( hskp6
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( spl0_58
    | ~ spl0_24
    | spl0_49
    | spl0_36 ),
    inference(avatar_split_clause,[],[f214,f400,f463,f348,f506]) ).

fof(f214,plain,
    ! [X82,X81] :
      ( hskp8
      | ~ c3_1(X81)
      | ~ c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c2_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X82,X81] :
      ( hskp8
      | ~ c3_1(X81)
      | ~ c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_58
    | ~ spl0_24
    | spl0_38
    | spl0_21 ),
    inference(avatar_split_clause,[],[f215,f333,f410,f348,f506]) ).

fof(f215,plain,
    ! [X80,X79] :
      ( hskp9
      | ~ c0_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X80,X79] :
      ( hskp9
      | ~ c0_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_57
    | spl0_56
    | ~ spl0_24
    | spl0_37 ),
    inference(avatar_split_clause,[],[f216,f405,f348,f494,f499]) ).

fof(f216,plain,
    ! [X76,X77,X75] :
      ( ~ c1_1(X75)
      | c3_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ c1_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X76,X77,X75] :
      ( ~ c1_1(X75)
      | c3_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_57
    | ~ spl0_24
    | spl0_54
    | spl0_21 ),
    inference(avatar_split_clause,[],[f217,f333,f485,f348,f499]) ).

fof(f217,plain,
    ! [X73,X74] :
      ( hskp9
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X73,X74] :
      ( hskp9
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_57
    | ~ spl0_24
    | spl0_55
    | spl0_27 ),
    inference(avatar_split_clause,[],[f218,f359,f490,f348,f499]) ).

fof(f218,plain,
    ! [X72,X71] :
      ( hskp11
      | c3_1(X71)
      | c2_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X72,X71] :
      ( hskp11
      | c3_1(X71)
      | c2_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_57
    | ~ spl0_24
    | spl0_25
    | spl0_11 ),
    inference(avatar_split_clause,[],[f219,f285,f352,f348,f499]) ).

fof(f219,plain,
    ! [X70,X69] :
      ( hskp12
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X70,X69] :
      ( hskp12
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_56
    | spl0_53
    | ~ spl0_24
    | spl0_41 ),
    inference(avatar_split_clause,[],[f220,f424,f348,f481,f494]) ).

fof(f220,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_56
    | ~ spl0_24
    | spl0_45
    | spl0_30 ),
    inference(avatar_split_clause,[],[f221,f371,f442,f348,f494]) ).

fof(f221,plain,
    ! [X65,X64] :
      ( hskp13
      | ~ c0_1(X64)
      | c3_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X65,X64] :
      ( hskp13
      | ~ c0_1(X64)
      | c3_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_24
    | spl0_34 ),
    inference(avatar_split_clause,[],[f222,f392,f348,f490,f485]) ).

fof(f222,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_54
    | ~ spl0_24
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f223,f285,f368,f348,f485]) ).

fof(f223,plain,
    ! [X59,X60] :
      ( hskp12
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | c3_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X59,X60] :
      ( hskp12
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( ~ spl0_24
    | spl0_54
    | spl0_19 ),
    inference(avatar_split_clause,[],[f153,f323,f485,f348]) ).

fof(f153,plain,
    ! [X58] :
      ( hskp28
      | ~ c1_1(X58)
      | c3_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_52
    | ~ spl0_24
    | spl0_53
    | spl0_14 ),
    inference(avatar_split_clause,[],[f224,f299,f481,f348,f475]) ).

fof(f224,plain,
    ! [X56,X57] :
      ( hskp4
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X56,X57] :
      ( hskp4
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_52
    | spl0_49
    | ~ spl0_24
    | spl0_42 ),
    inference(avatar_split_clause,[],[f225,f428,f348,f463,f475]) ).

fof(f225,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54)
      | ~ c2_1(X55)
      | c3_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_52
    | spl0_49
    | ~ spl0_24
    | spl0_28 ),
    inference(avatar_split_clause,[],[f226,f364,f348,f463,f475]) ).

fof(f226,plain,
    ! [X50,X51,X52] :
      ( ~ c3_1(X50)
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ c2_1(X52)
      | c3_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X50,X51,X52] :
      ( ~ c3_1(X50)
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( ~ spl0_24
    | spl0_52
    | spl0_13
    | spl0_46 ),
    inference(avatar_split_clause,[],[f157,f445,f295,f475,f348]) ).

fof(f157,plain,
    ! [X49] :
      ( hskp15
      | hskp14
      | ~ c2_1(X49)
      | c3_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_51
    | ~ spl0_24
    | spl0_40
    | spl0_19 ),
    inference(avatar_split_clause,[],[f227,f323,f420,f348,f470]) ).

fof(f227,plain,
    ! [X48,X47] :
      ( hskp28
      | ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X48,X47] :
      ( hskp28
      | ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_24
    | spl0_51
    | spl0_6
    | spl0_31 ),
    inference(avatar_split_clause,[],[f159,f376,f262,f470,f348]) ).

fof(f159,plain,
    ! [X46] :
      ( hskp17
      | hskp16
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_48
    | ~ spl0_24
    | spl0_45
    | spl0_46 ),
    inference(avatar_split_clause,[],[f229,f445,f442,f348,f456]) ).

fof(f229,plain,
    ! [X42,X43] :
      ( hskp15
      | ~ c0_1(X42)
      | c3_1(X42)
      | c1_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X42,X43] :
      ( hskp15
      | ~ c0_1(X42)
      | c3_1(X42)
      | c1_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f163,f254,f290,f456,f348]) ).

fof(f163,plain,
    ! [X39] :
      ( hskp18
      | hskp29
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_36
    | spl0_18 ),
    inference(avatar_split_clause,[],[f164,f317,f400,f456,f348]) ).

fof(f164,plain,
    ! [X38] :
      ( hskp7
      | hskp8
      | ~ c0_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_47
    | spl0_42
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f231,f410,f348,f428,f450]) ).

fof(f231,plain,
    ! [X36,X37,X35] :
      ( ~ c0_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X36,X37,X35] :
      ( ~ c0_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_47
    | spl0_34
    | ~ spl0_24
    | spl0_32 ),
    inference(avatar_split_clause,[],[f232,f381,f348,f392,f450]) ).

fof(f232,plain,
    ! [X34,X32,X33] :
      ( ~ c2_1(X32)
      | ~ c1_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | c3_1(X33)
      | ~ c3_1(X34)
      | c2_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X34,X32,X33] :
      ( ~ c2_1(X32)
      | ~ c1_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f426,plain,
    ( spl0_41
    | ~ spl0_24
    | spl0_37
    | spl0_9 ),
    inference(avatar_split_clause,[],[f233,f276,f405,f348,f424]) ).

fof(f233,plain,
    ! [X24,X25] :
      ( hskp20
      | ~ c1_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X24,X25] :
      ( hskp20
      | ~ c1_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_39
    | ~ spl0_24
    | spl0_40
    | spl0_23 ),
    inference(avatar_split_clause,[],[f234,f343,f420,f348,f415]) ).

fof(f234,plain,
    ! [X22,X23] :
      ( hskp27
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X22,X23] :
      ( hskp27
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_24
    | spl0_39
    | spl0_26
    | spl0_3 ),
    inference(avatar_split_clause,[],[f176,f249,f355,f415,f348]) ).

fof(f176,plain,
    ! [X20] :
      ( hskp23
      | hskp22
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_38
    | ~ spl0_24
    | spl0_34
    | spl0_23 ),
    inference(avatar_split_clause,[],[f235,f343,f392,f348,f410]) ).

fof(f235,plain,
    ! [X18,X19] :
      ( hskp27
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X18,X19] :
      ( hskp27
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_24
    | spl0_38
    | spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f178,f376,f299,f410,f348]) ).

fof(f178,plain,
    ! [X17] :
      ( hskp17
      | hskp4
      | ~ c0_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_24
    | spl0_34
    | spl0_13
    | spl0_36 ),
    inference(avatar_split_clause,[],[f181,f400,f295,f392,f348]) ).

fof(f181,plain,
    ! [X14] :
      ( hskp8
      | hskp14
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( spl0_33
    | ~ spl0_24
    | spl0_28
    | spl0_27 ),
    inference(avatar_split_clause,[],[f236,f359,f364,f348,f385]) ).

fof(f236,plain,
    ! [X11,X12] :
      ( hskp11
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X11,X12] :
      ( hskp11
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_22
    | spl0_4 ),
    inference(avatar_split_clause,[],[f184,f254,f338,f385,f348]) ).

fof(f184,plain,
    ! [X10] :
      ( hskp18
      | hskp30
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( spl0_29
    | ~ spl0_24
    | spl0_25
    | spl0_31 ),
    inference(avatar_split_clause,[],[f238,f376,f352,f348,f368]) ).

fof(f238,plain,
    ! [X4,X5] :
      ( hskp17
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X4,X5] :
      ( hskp17
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_24
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f189,f371,f368,f348]) ).

fof(f189,plain,
    ! [X3] :
      ( hskp13
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f191,f359,f355,f352,f348]) ).

fof(f191,plain,
    ! [X0] :
      ( hskp11
      | hskp22
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f346,plain,
    ( spl0_23
    | spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f254,f295,f343]) ).

fof(f192,plain,
    ( hskp18
    | hskp14
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( spl0_20
    | spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f194,f333,f295,f329]) ).

fof(f194,plain,
    ( hskp9
    | hskp14
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_19
    | spl0_15
    | spl0_13 ),
    inference(avatar_split_clause,[],[f195,f295,f304,f323]) ).

fof(f195,plain,
    ( hskp14
    | hskp25
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( spl0_13
    | spl0_14
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f271,f299,f295]) ).

fof(f200,plain,
    ( hskp1
    | hskp4
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( spl0_10
    | spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f201,f276,f290,f281]) ).

fof(f201,plain,
    ( hskp20
    | hskp29
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f288,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f202,f285,f281]) ).

fof(f202,plain,
    ( hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f254,f276]) ).

fof(f203,plain,
    ( hskp18
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.41  % Problem    : SYN478+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.43  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.18/0.64  % Computer : n019.cluster.edu
% 0.18/0.64  % Model    : x86_64 x86_64
% 0.18/0.64  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.64  % Memory   : 8042.1875MB
% 0.18/0.64  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.64  % CPULimit   : 300
% 0.18/0.64  % WCLimit    : 300
% 0.18/0.64  % DateTime   : Fri May  3 17:31:08 EDT 2024
% 0.18/0.65  % CPUTime    : 
% 0.18/0.65  % (21972)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.67  % (21974)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.67  % (21977)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.67  % (21973)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.67  % (21978)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.67  % (21976)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.67  % (21979)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)
% 0.18/0.67  % (21975)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)
% 0.18/0.67  Detected minimum model sizes of [1]
% 0.18/0.67  Detected maximum model sizes of [31]
% 0.18/0.67  TRYING [1]
% 0.18/0.67  Detected minimum model sizes of [1]
% 0.18/0.67  Detected maximum model sizes of [31]
% 0.18/0.67  TRYING [1]
% 0.18/0.68  TRYING [2]
% 0.18/0.68  TRYING [2]
% 0.18/0.68  TRYING [3]
% 0.18/0.68  Detected minimum model sizes of [1]
% 0.18/0.68  Detected maximum model sizes of [31]
% 0.18/0.68  TRYING [1]
% 0.18/0.68  TRYING [3]
% 0.18/0.68  TRYING [2]
% 0.18/0.68  Detected minimum model sizes of [1]
% 0.18/0.68  Detected maximum model sizes of [31]
% 0.18/0.68  TRYING [1]
% 0.18/0.68  TRYING [3]
% 0.18/0.68  TRYING [2]
% 0.18/0.68  TRYING [4]
% 0.18/0.68  TRYING [4]
% 0.18/0.69  TRYING [3]
% 0.18/0.69  TRYING [4]
% 0.18/0.69  TRYING [4]
% 0.18/0.70  TRYING [5]
% 0.18/0.70  TRYING [5]
% 0.22/0.70  % (21978)First to succeed.
% 0.22/0.70  TRYING [5]
% 0.22/0.71  TRYING [5]
% 0.22/0.71  % (21978)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21972"
% 0.22/0.71  % (21978)Refutation found. Thanks to Tanya!
% 0.22/0.71  % SZS status Theorem for theBenchmark
% 0.22/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.72  % (21978)------------------------------
% 0.22/0.72  % (21978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.72  % (21978)Termination reason: Refutation
% 0.22/0.72  
% 0.22/0.72  % (21978)Memory used [KB]: 1804
% 0.22/0.72  % (21978)Time elapsed: 0.045 s
% 0.22/0.72  % (21978)Instructions burned: 80 (million)
% 0.22/0.72  % (21972)Success in time 0.06 s
%------------------------------------------------------------------------------