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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN499-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:01 EDT 2024

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  224
% Syntax   : Number of formulae    :  584 (   1 unt;   0 def)
%            Number of atoms       : 1887 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2264 ( 961   ~;1186   |;   0   &)
%                                         ( 117 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  146 ( 145 usr; 142 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  110 ( 110   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2872,plain,
    $false,
    inference(avatar_sat_refutation,[],[f308,f318,f323,f338,f343,f353,f358,f363,f368,f373,f388,f398,f438,f443,f448,f453,f463,f478,f483,f488,f493,f498,f503,f528,f558,f563,f573,f578,f583,f588,f593,f598,f608,f613,f628,f633,f643,f648,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f768,f773,f778,f783,f788,f793,f798,f803,f808,f818,f823,f828,f831,f833,f834,f838,f842,f846,f871,f879,f883,f887,f892,f896,f901,f902,f907,f912,f913,f914,f919,f925,f930,f931,f933,f934,f944,f946,f951,f957,f961,f963,f964,f965,f970,f975,f976,f978,f979,f981,f984,f996,f1022,f1067,f1105,f1115,f1151,f1155,f1177,f1225,f1238,f1259,f1316,f1416,f1501,f1535,f1597,f1636,f1641,f1669,f1694,f1705,f1725,f1757,f1764,f1813,f1815,f1823,f1863,f1890,f2039,f2084,f2335,f2338,f2392,f2425,f2436,f2502,f2642,f2706,f2724,f2726,f2792,f2843,f2845,f2846,f2861,f2867,f2871]) ).

fof(f2871,plain,
    ( spl0_100
    | ~ spl0_105
    | ~ spl0_141
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2870]) ).

fof(f2870,plain,
    ( $false
    | spl0_100
    | ~ spl0_105
    | ~ spl0_141
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2869,f1371]) ).

fof(f1371,plain,
    ( ~ c0_1(a164)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1370,plain,
    ( spl0_166
  <=> c0_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2869,plain,
    ( c0_1(a164)
    | spl0_100
    | ~ spl0_105
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2868,f702]) ).

fof(f702,plain,
    ( ~ c2_1(a164)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_100
  <=> c2_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2868,plain,
    ( c2_1(a164)
    | c0_1(a164)
    | ~ spl0_105
    | ~ spl0_141 ),
    inference(resolution,[],[f727,f899]) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f727,plain,
    ( c1_1(a164)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_105
  <=> c1_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2867,plain,
    ( spl0_74
    | spl0_77
    | ~ spl0_82
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2864,f898,f610,f585,f570]) ).

fof(f570,plain,
    ( spl0_74
  <=> c0_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f585,plain,
    ( spl0_77
  <=> c2_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f610,plain,
    ( spl0_82
  <=> c1_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2864,plain,
    ( c0_1(a155)
    | spl0_77
    | ~ spl0_82
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2863,f587]) ).

fof(f587,plain,
    ( ~ c2_1(a155)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f2863,plain,
    ( c2_1(a155)
    | c0_1(a155)
    | ~ spl0_82
    | ~ spl0_141 ),
    inference(resolution,[],[f612,f899]) ).

fof(f612,plain,
    ( c1_1(a155)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2861,plain,
    ( spl0_161
    | spl0_117
    | ~ spl0_120
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2856,f898,f800,f785,f1162]) ).

fof(f1162,plain,
    ( spl0_161
  <=> c0_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f785,plain,
    ( spl0_117
  <=> c2_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f800,plain,
    ( spl0_120
  <=> c1_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2856,plain,
    ( c0_1(a127)
    | spl0_117
    | ~ spl0_120
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2854,f787]) ).

fof(f787,plain,
    ( ~ c2_1(a127)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2854,plain,
    ( c2_1(a127)
    | c0_1(a127)
    | ~ spl0_120
    | ~ spl0_141 ),
    inference(resolution,[],[f802,f899]) ).

fof(f802,plain,
    ( c1_1(a127)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f2846,plain,
    ( ~ spl0_107
    | spl0_160
    | ~ spl0_104
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2357,f869,f720,f1157,f735]) ).

fof(f735,plain,
    ( spl0_107
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1157,plain,
    ( spl0_160
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f720,plain,
    ( spl0_104
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f869,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2357,plain,
    ( c3_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_104
    | ~ spl0_134 ),
    inference(resolution,[],[f870,f722]) ).

fof(f722,plain,
    ( c1_1(a138)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f2845,plain,
    ( ~ spl0_160
    | spl0_99
    | ~ spl0_104
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2758,f881,f720,f695,f1157]) ).

fof(f695,plain,
    ( spl0_99
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f881,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2758,plain,
    ( c2_1(a138)
    | ~ c3_1(a138)
    | ~ spl0_104
    | ~ spl0_137 ),
    inference(resolution,[],[f882,f722]) ).

fof(f882,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f2843,plain,
    ( spl0_72
    | spl0_79
    | ~ spl0_86
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2834,f917,f630,f595,f560]) ).

fof(f560,plain,
    ( spl0_72
  <=> c1_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f595,plain,
    ( spl0_79
  <=> c2_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f630,plain,
    ( spl0_86
  <=> c0_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f917,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2834,plain,
    ( c1_1(a176)
    | spl0_79
    | ~ spl0_86
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2827,f597]) ).

fof(f597,plain,
    ( ~ c2_1(a176)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f2827,plain,
    ( c2_1(a176)
    | c1_1(a176)
    | ~ spl0_86
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f632]) ).

fof(f632,plain,
    ( c0_1(a176)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f918,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f2792,plain,
    ( spl0_78
    | ~ spl0_85
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | spl0_78
    | ~ spl0_85
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2785,f592]) ).

fof(f592,plain,
    ( ~ c2_1(a140)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl0_78
  <=> c2_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2785,plain,
    ( c2_1(a140)
    | ~ spl0_85
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(resolution,[],[f2776,f627]) ).

fof(f627,plain,
    ( c0_1(a140)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_85
  <=> c0_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2776,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f918,f853]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2726,plain,
    ( spl0_168
    | ~ spl0_81
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2725,f836,f645,f605,f1498]) ).

fof(f1498,plain,
    ( spl0_168
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f605,plain,
    ( spl0_81
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f645,plain,
    ( spl0_89
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f836,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2725,plain,
    ( c3_1(a125)
    | ~ spl0_81
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2718,f607]) ).

fof(f607,plain,
    ( c1_1(a125)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2718,plain,
    ( c3_1(a125)
    | ~ c1_1(a125)
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f647]) ).

fof(f647,plain,
    ( c2_1(a125)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f2724,plain,
    ( ~ spl0_172
    | spl0_95
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2723,f836,f745,f675,f1991]) ).

fof(f1991,plain,
    ( spl0_172
  <=> c1_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f675,plain,
    ( spl0_95
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f745,plain,
    ( spl0_109
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2723,plain,
    ( ~ c1_1(a134)
    | spl0_95
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2716,f677]) ).

fof(f677,plain,
    ( ~ c3_1(a134)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f2716,plain,
    ( c3_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f747]) ).

fof(f747,plain,
    ( c2_1(a134)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f2706,plain,
    ( ~ spl0_58
    | spl0_157
    | ~ spl0_55
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2350,f869,f475,f1040,f490]) ).

fof(f490,plain,
    ( spl0_58
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1040,plain,
    ( spl0_157
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f475,plain,
    ( spl0_55
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2350,plain,
    ( c3_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_55
    | ~ spl0_134 ),
    inference(resolution,[],[f870,f477]) ).

fof(f477,plain,
    ( c1_1(a136)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f2642,plain,
    ( spl0_172
    | spl0_95
    | ~ spl0_109
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2641,f840,f745,f675,f1991]) ).

fof(f840,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2641,plain,
    ( c1_1(a134)
    | spl0_95
    | ~ spl0_109
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2628,f677]) ).

fof(f2628,plain,
    ( c1_1(a134)
    | c3_1(a134)
    | ~ spl0_109
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f747]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f2502,plain,
    ( spl0_116
    | spl0_118
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2495,f921,f861,f790,f780]) ).

fof(f780,plain,
    ( spl0_116
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f790,plain,
    ( spl0_118
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f861,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f921,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2495,plain,
    ( c0_1(a131)
    | spl0_118
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(resolution,[],[f2431,f792]) ).

fof(f792,plain,
    ( ~ c2_1(a131)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f2431,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f862,f922]) ).

fof(f922,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f862,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f2436,plain,
    ( ~ spl0_161
    | spl0_113
    | ~ spl0_120
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2360,f869,f800,f765,f1162]) ).

fof(f765,plain,
    ( spl0_113
  <=> c3_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2360,plain,
    ( c3_1(a127)
    | ~ c0_1(a127)
    | ~ spl0_120
    | ~ spl0_134 ),
    inference(resolution,[],[f870,f802]) ).

fof(f2425,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_125
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2418,f921,f825,f820,f815]) ).

fof(f815,plain,
    ( spl0_123
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f820,plain,
    ( spl0_124
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f825,plain,
    ( spl0_125
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2418,plain,
    ( c0_1(a132)
    | spl0_124
    | ~ spl0_125
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2413,f822]) ).

fof(f822,plain,
    ( ~ c2_1(a132)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f2413,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_125
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f827]) ).

fof(f827,plain,
    ( c3_1(a132)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f2392,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_124
    | ~ spl0_125
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2390,f827]) ).

fof(f2390,plain,
    ( ~ c3_1(a132)
    | spl0_124
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2381,f822]) ).

fof(f2381,plain,
    ( c2_1(a132)
    | ~ c3_1(a132)
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(resolution,[],[f882,f1640]) ).

fof(f1640,plain,
    ( c1_1(a132)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1638]) ).

fof(f1638,plain,
    ( spl0_171
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2338,plain,
    ( spl0_76
    | ~ spl0_88
    | ~ spl0_149
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | spl0_76
    | ~ spl0_88
    | ~ spl0_149
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2336,f1423]) ).

fof(f1423,plain,
    ( ~ c3_1(a123)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1422,plain,
    ( spl0_167
  <=> c3_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2336,plain,
    ( c3_1(a123)
    | spl0_76
    | ~ spl0_88
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2327,f582]) ).

fof(f582,plain,
    ( ~ c0_1(a123)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl0_76
  <=> c0_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2327,plain,
    ( c0_1(a123)
    | c3_1(a123)
    | ~ spl0_88
    | ~ spl0_149 ),
    inference(resolution,[],[f949,f642]) ).

fof(f642,plain,
    ( c2_1(a123)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_88
  <=> c2_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2335,plain,
    ( spl0_95
    | spl0_98
    | ~ spl0_109
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2334]) ).

fof(f2334,plain,
    ( $false
    | spl0_95
    | spl0_98
    | ~ spl0_109
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2333,f677]) ).

fof(f2333,plain,
    ( c3_1(a134)
    | spl0_98
    | ~ spl0_109
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2325,f692]) ).

fof(f692,plain,
    ( ~ c0_1(a134)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_98
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2325,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_109
    | ~ spl0_149 ),
    inference(resolution,[],[f949,f747]) ).

fof(f2084,plain,
    ( spl0_21
    | spl0_23
    | spl0_30
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | spl0_21
    | spl0_23
    | spl0_30
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2082,f317]) ).

fof(f317,plain,
    ( ~ c1_1(a141)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_23
  <=> c1_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2082,plain,
    ( c1_1(a141)
    | spl0_21
    | spl0_30
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2079,f307]) ).

fof(f307,plain,
    ( ~ c3_1(a141)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl0_21
  <=> c3_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2079,plain,
    ( c3_1(a141)
    | c1_1(a141)
    | spl0_30
    | ~ spl0_131 ),
    inference(resolution,[],[f858,f352]) ).

fof(f352,plain,
    ( ~ c2_1(a141)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_30
  <=> c2_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f858,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f857,plain,
    ( spl0_131
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2039,plain,
    ( ~ spl0_102
    | ~ spl0_106
    | ~ spl0_136
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_106
    | ~ spl0_136
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2025,f732]) ).

fof(f732,plain,
    ( c0_1(a142)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_106
  <=> c0_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2025,plain,
    ( ~ c0_1(a142)
    | ~ spl0_102
    | ~ spl0_136
    | ~ spl0_151 ),
    inference(resolution,[],[f2015,f712]) ).

fof(f712,plain,
    ( c3_1(a142)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_102
  <=> c3_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2015,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f960,f878]) ).

fof(f878,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f959,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1890,plain,
    ( ~ spl0_106
    | spl0_96
    | ~ spl0_102
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1887,f873,f710,f680,f730]) ).

fof(f680,plain,
    ( spl0_96
  <=> c1_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f873,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1887,plain,
    ( ~ c0_1(a142)
    | spl0_96
    | ~ spl0_102
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1877,f682]) ).

fof(f682,plain,
    ( ~ c1_1(a142)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f1877,plain,
    ( c1_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_102
    | ~ spl0_135 ),
    inference(resolution,[],[f874,f712]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f1863,plain,
    ( spl0_49
    | ~ spl0_56
    | ~ spl0_59
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | spl0_49
    | ~ spl0_56
    | ~ spl0_59
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1861,f482]) ).

fof(f482,plain,
    ( c1_1(a124)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_56
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1861,plain,
    ( ~ c1_1(a124)
    | spl0_49
    | ~ spl0_59
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1848,f447]) ).

fof(f447,plain,
    ( ~ c3_1(a124)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_49
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1848,plain,
    ( c3_1(a124)
    | ~ c1_1(a124)
    | ~ spl0_59
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f497]) ).

fof(f497,plain,
    ( c2_1(a124)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl0_59
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1823,plain,
    ( ~ spl0_55
    | ~ spl0_60
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1822]) ).

fof(f1822,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_60
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1821,f477]) ).

fof(f1821,plain,
    ( ~ c1_1(a136)
    | ~ spl0_60
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1819,f502]) ).

fof(f502,plain,
    ( c2_1(a136)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_60
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1819,plain,
    ( ~ c2_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(resolution,[],[f1042,f929]) ).

fof(f929,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1042,plain,
    ( c3_1(a136)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1815,plain,
    ( ~ spl0_104
    | ~ spl0_107
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1814]) ).

fof(f1814,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1806,f737]) ).

fof(f737,plain,
    ( c0_1(a138)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1806,plain,
    ( ~ c0_1(a138)
    | ~ spl0_104
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f1786,f722]) ).

fof(f1786,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f870,f906]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1813,plain,
    ( ~ spl0_55
    | ~ spl0_58
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_58
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1801,f492]) ).

fof(f492,plain,
    ( c0_1(a136)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f1801,plain,
    ( ~ c0_1(a136)
    | ~ spl0_55
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f1786,f477]) ).

fof(f1764,plain,
    ( spl0_71
    | spl0_76
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f1763]) ).

fof(f1763,plain,
    ( $false
    | spl0_71
    | spl0_76
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f1762,f557]) ).

fof(f557,plain,
    ( ~ c1_1(a123)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_71
  <=> c1_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1762,plain,
    ( c1_1(a123)
    | spl0_76
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f1761,f582]) ).

fof(f1761,plain,
    ( c0_1(a123)
    | c1_1(a123)
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(resolution,[],[f1424,f890]) ).

fof(f890,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f889,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1424,plain,
    ( c3_1(a123)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1757,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

fof(f1756,plain,
    ( $false
    | spl0_100
    | ~ spl0_101
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1748,f707]) ).

fof(f707,plain,
    ( c3_1(a164)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_101
  <=> c3_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1748,plain,
    ( ~ c3_1(a164)
    | spl0_100
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(resolution,[],[f1745,f702]) ).

fof(f1745,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f922,f878]) ).

fof(f1725,plain,
    ( ~ spl0_166
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1724,f905,f725,f705,f1370]) ).

fof(f1724,plain,
    ( ~ c0_1(a164)
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1710,f727]) ).

fof(f1710,plain,
    ( ~ c0_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_101
    | ~ spl0_142 ),
    inference(resolution,[],[f906,f707]) ).

fof(f1705,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | spl0_100
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1703,f707]) ).

fof(f1703,plain,
    ( ~ c3_1(a164)
    | spl0_100
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1697,f702]) ).

fof(f1697,plain,
    ( c2_1(a164)
    | ~ c3_1(a164)
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(resolution,[],[f882,f727]) ).

fof(f1694,plain,
    ( ~ spl0_160
    | spl0_99
    | ~ spl0_107
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1693,f877,f735,f695,f1157]) ).

fof(f1693,plain,
    ( ~ c3_1(a138)
    | spl0_99
    | ~ spl0_107
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1680,f737]) ).

fof(f1680,plain,
    ( ~ c3_1(a138)
    | ~ c0_1(a138)
    | spl0_99
    | ~ spl0_136 ),
    inference(resolution,[],[f878,f697]) ).

fof(f697,plain,
    ( ~ c2_1(a138)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f1669,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | spl0_27
    | spl0_28
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1667,f337]) ).

fof(f337,plain,
    ( ~ c1_1(a189)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f335,plain,
    ( spl0_27
  <=> c1_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1667,plain,
    ( c1_1(a189)
    | spl0_28
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1657,f342]) ).

fof(f342,plain,
    ( ~ c0_1(a189)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_28
  <=> c0_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1657,plain,
    ( c0_1(a189)
    | c1_1(a189)
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(resolution,[],[f890,f367]) ).

fof(f367,plain,
    ( c3_1(a189)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_33
  <=> c3_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1641,plain,
    ( spl0_123
    | spl0_171
    | spl0_124
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1100,f885,f820,f1638,f815]) ).

fof(f885,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1100,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | spl0_124
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f822]) ).

fof(f886,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f1636,plain,
    ( spl0_99
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1635,plain,
    ( $false
    | spl0_99
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1634,f737]) ).

fof(f1634,plain,
    ( ~ c0_1(a138)
    | spl0_99
    | ~ spl0_104
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1628,f697]) ).

fof(f1628,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_104
    | ~ spl0_130 ),
    inference(resolution,[],[f853,f722]) ).

fof(f1597,plain,
    ( spl0_100
    | ~ spl0_105
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | spl0_100
    | ~ spl0_105
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1592,f702]) ).

fof(f1592,plain,
    ( c2_1(a164)
    | ~ spl0_105
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(resolution,[],[f1565,f727]) ).

fof(f1565,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f882,f895]) ).

fof(f895,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1535,plain,
    ( spl0_48
    | spl0_50
    | spl0_52
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_48
    | spl0_50
    | spl0_52
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1533,f452]) ).

fof(f452,plain,
    ( ~ c0_1(a182)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_50
  <=> c0_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1533,plain,
    ( c0_1(a182)
    | spl0_48
    | spl0_52
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1531,f442]) ).

fof(f442,plain,
    ( ~ c3_1(a182)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_48
  <=> c3_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1531,plain,
    ( c3_1(a182)
    | c0_1(a182)
    | spl0_52
    | ~ spl0_132 ),
    inference(resolution,[],[f462,f862]) ).

fof(f462,plain,
    ( ~ c2_1(a182)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_52
  <=> c2_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1501,plain,
    ( ~ spl0_168
    | spl0_75
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1294,f844,f645,f575,f1498]) ).

fof(f575,plain,
    ( spl0_75
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f844,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1294,plain,
    ( c0_1(a125)
    | ~ c3_1(a125)
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(resolution,[],[f845,f647]) ).

fof(f845,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1416,plain,
    ( ~ spl0_81
    | ~ spl0_89
    | ~ spl0_126
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1415,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_89
    | ~ spl0_126
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1404,f647]) ).

fof(f1404,plain,
    ( ~ c2_1(a125)
    | ~ spl0_81
    | ~ spl0_126
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(resolution,[],[f1344,f607]) ).

fof(f1344,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f929,f1185]) ).

fof(f1185,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f837,f895]) ).

fof(f1316,plain,
    ( spl0_161
    | spl0_113
    | spl0_117
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1315,f861,f785,f765,f1162]) ).

fof(f1315,plain,
    ( c0_1(a127)
    | spl0_113
    | spl0_117
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1310,f767]) ).

fof(f767,plain,
    ( ~ c3_1(a127)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f1310,plain,
    ( c3_1(a127)
    | c0_1(a127)
    | spl0_117
    | ~ spl0_132 ),
    inference(resolution,[],[f862,f787]) ).

fof(f1259,plain,
    ( spl0_97
    | ~ spl0_103
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | spl0_97
    | ~ spl0_103
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1253,f687]) ).

fof(f687,plain,
    ( ~ c1_1(a143)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_97
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1253,plain,
    ( c1_1(a143)
    | ~ spl0_103
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(resolution,[],[f1208,f717]) ).

fof(f717,plain,
    ( c3_1(a143)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_103
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1208,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f874,f890]) ).

fof(f1238,plain,
    ( spl0_47
    | ~ spl0_57
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1237]) ).

fof(f1237,plain,
    ( $false
    | spl0_47
    | ~ spl0_57
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1230,f487]) ).

fof(f487,plain,
    ( c1_1(a168)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl0_57
  <=> c1_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1230,plain,
    ( ~ c1_1(a168)
    | spl0_47
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(resolution,[],[f1185,f437]) ).

fof(f437,plain,
    ( ~ c3_1(a168)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl0_47
  <=> c3_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1225,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | spl0_123
    | spl0_124
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1216,f817]) ).

fof(f817,plain,
    ( ~ c0_1(a132)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f1216,plain,
    ( c0_1(a132)
    | spl0_124
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(resolution,[],[f1184,f822]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f899,f886]) ).

fof(f1177,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1175,f387]) ).

fof(f387,plain,
    ( c1_1(a167)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_37
  <=> c1_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1175,plain,
    ( ~ c1_1(a167)
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1167,f397]) ).

fof(f397,plain,
    ( c0_1(a167)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_39
  <=> c0_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1167,plain,
    ( ~ c0_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_34
    | ~ spl0_142 ),
    inference(resolution,[],[f906,f372]) ).

fof(f372,plain,
    ( c3_1(a167)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_34
  <=> c3_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1155,plain,
    ( spl0_113
    | spl0_117
    | ~ spl0_120
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | spl0_113
    | spl0_117
    | ~ spl0_120
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1153,f767]) ).

fof(f1153,plain,
    ( c3_1(a127)
    | spl0_117
    | ~ spl0_120
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1146,f787]) ).

fof(f1146,plain,
    ( c2_1(a127)
    | c3_1(a127)
    | ~ spl0_120
    | ~ spl0_140 ),
    inference(resolution,[],[f895,f802]) ).

fof(f1151,plain,
    ( spl0_99
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_99
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1149,f1081]) ).

fof(f1081,plain,
    ( ~ c3_1(a138)
    | spl0_99
    | ~ spl0_107
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1073,f737]) ).

fof(f1073,plain,
    ( ~ c3_1(a138)
    | ~ c0_1(a138)
    | spl0_99
    | ~ spl0_136 ),
    inference(resolution,[],[f878,f697]) ).

fof(f1149,plain,
    ( c3_1(a138)
    | spl0_99
    | ~ spl0_104
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1144,f697]) ).

fof(f1144,plain,
    ( c2_1(a138)
    | c3_1(a138)
    | ~ spl0_104
    | ~ spl0_140 ),
    inference(resolution,[],[f895,f722]) ).

fof(f1115,plain,
    ( spl0_116
    | spl0_114
    | spl0_118
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1107,f885,f790,f770,f780]) ).

fof(f770,plain,
    ( spl0_114
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1107,plain,
    ( c0_1(a131)
    | spl0_114
    | spl0_118
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1102,f772]) ).

fof(f772,plain,
    ( ~ c1_1(a131)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f1102,plain,
    ( c1_1(a131)
    | c0_1(a131)
    | spl0_118
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f792]) ).

fof(f1105,plain,
    ( spl0_24
    | spl0_31
    | ~ spl0_32
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1104,plain,
    ( $false
    | spl0_24
    | spl0_31
    | ~ spl0_32
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1103,f1080]) ).

fof(f1080,plain,
    ( ~ c0_1(a160)
    | spl0_31
    | ~ spl0_32
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1070,f362]) ).

fof(f362,plain,
    ( c3_1(a160)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_32
  <=> c3_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1070,plain,
    ( ~ c3_1(a160)
    | ~ c0_1(a160)
    | spl0_31
    | ~ spl0_136 ),
    inference(resolution,[],[f878,f357]) ).

fof(f357,plain,
    ( ~ c2_1(a160)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_31
  <=> c2_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1103,plain,
    ( c0_1(a160)
    | spl0_24
    | spl0_31
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1096,f322]) ).

fof(f322,plain,
    ( ~ c1_1(a160)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl0_24
  <=> c1_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1096,plain,
    ( c1_1(a160)
    | c0_1(a160)
    | spl0_31
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f357]) ).

fof(f1067,plain,
    ( spl0_97
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1066,plain,
    ( $false
    | spl0_97
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1065,f717]) ).

fof(f1065,plain,
    ( ~ c3_1(a143)
    | spl0_97
    | ~ spl0_108
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1058,f687]) ).

fof(f1058,plain,
    ( c1_1(a143)
    | ~ c3_1(a143)
    | ~ spl0_108
    | ~ spl0_133 ),
    inference(resolution,[],[f866,f742]) ).

fof(f742,plain,
    ( c2_1(a143)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_108
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f866,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1022,plain,
    ( spl0_115
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | spl0_115
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1020,f797]) ).

fof(f797,plain,
    ( c3_1(a153)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c3_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1020,plain,
    ( ~ c3_1(a153)
    | spl0_115
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1015,f777]) ).

fof(f777,plain,
    ( ~ c0_1(a153)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_115
  <=> c0_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1015,plain,
    ( c0_1(a153)
    | ~ c3_1(a153)
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(resolution,[],[f845,f807]) ).

fof(f807,plain,
    ( c2_1(a153)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_121
  <=> c2_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f996,plain,
    ( spl0_138
    | spl0_141
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f206,f921,f898,f885]) ).

fof(f206,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f984,plain,
    ( spl0_149
    | spl0_140
    | spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f206,f881,f894,f948]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f981,plain,
    ( spl0_141
    | spl0_136
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f206,f921,f877,f898]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X1)
      | c2_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f979,plain,
    ( spl0_144
    | spl0_142
    | spl0_128
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f206,f844,f905,f917]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f978,plain,
    ( spl0_126
    | spl0_133
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f206,f905,f865,f836]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f976,plain,
    ( spl0_130
    | spl0_139
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f206,f810,f889,f852]) ).

fof(f810,plain,
    ( spl0_122
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f975,plain,
    ( spl0_130
    | spl0_135
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f206,f810,f873,f852]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f970,plain,
    ( spl0_135
    | spl0_139
    | spl0_112
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f206,f760,f889,f873]) ).

fof(f760,plain,
    ( spl0_112
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f965,plain,
    ( spl0_144
    | spl0_141
    | spl0_92
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f206,f660,f898,f917]) ).

fof(f660,plain,
    ( spl0_92
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f964,plain,
    ( spl0_131
    | spl0_134
    | spl0_91
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f206,f655,f869,f857]) ).

fof(f655,plain,
    ( spl0_91
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f963,plain,
    ( spl0_134
    | spl0_140
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f206,f650,f894,f869]) ).

fof(f650,plain,
    ( spl0_90
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f961,plain,
    ( spl0_132
    | spl0_151
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f206,f670,f959,f861]) ).

fof(f670,plain,
    ( spl0_94
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f957,plain,
    ( spl0_141
    | spl0_145
    | spl0_91
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f206,f655,f921,f898]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f951,plain,
    ( spl0_138
    | spl0_140
    | spl0_68
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f206,f540,f894,f885]) ).

fof(f540,plain,
    ( spl0_68
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f946,plain,
    ( spl0_138
    | spl0_134
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f206,f430,f869,f885]) ).

fof(f430,plain,
    ( spl0_46
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f944,plain,
    ( spl0_140
    | spl0_145
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f206,f425,f921,f894]) ).

fof(f425,plain,
    ( spl0_45
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f934,plain,
    ( spl0_135
    | spl0_110
    | spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f206,f755,f750,f873]) ).

fof(f750,plain,
    ( spl0_110
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f755,plain,
    ( spl0_111
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp3
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f933,plain,
    ( spl0_132
    | spl0_122
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f206,f650,f810,f861]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp7
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f931,plain,
    ( spl0_146
    | spl0_110
    | spl0_92
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f206,f660,f750,f928]) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp3
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f930,plain,
    ( spl0_146
    | spl0_94
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f206,f650,f670,f928]) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp8
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f925,plain,
    ( spl0_133
    | spl0_122
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f206,f535,f810,f865]) ).

fof(f535,plain,
    ( spl0_67
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp7
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f919,plain,
    ( spl0_144
    | spl0_93
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f206,f510,f665,f917]) ).

fof(f665,plain,
    ( spl0_93
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f510,plain,
    ( spl0_62
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp19
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f914,plain,
    ( spl0_130
    | spl0_90
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f206,f535,f650,f852]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp9
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f913,plain,
    ( spl0_137
    | spl0_92
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f206,f510,f660,f881]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp13
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f912,plain,
    ( spl0_142
    | spl0_93
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f206,f520,f665,f905]) ).

fof(f520,plain,
    ( spl0_64
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp19
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f907,plain,
    ( spl0_142
    | spl0_63
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f206,f535,f515,f905]) ).

fof(f515,plain,
    ( spl0_63
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f902,plain,
    ( spl0_134
    | spl0_122
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f206,f410,f810,f869]) ).

fof(f410,plain,
    ( spl0_42
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp7
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f901,plain,
    ( spl0_128
    | spl0_122
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f206,f425,f810,f844]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp7
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f896,plain,
    ( spl0_140
    | spl0_111
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f206,f410,f755,f894]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp15
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f892,plain,
    ( spl0_136
    | spl0_110
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f206,f430,f750,f877]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp3
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f887,plain,
    ( spl0_138
    | spl0_64
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f206,f430,f520,f885]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f883,plain,
    ( spl0_137
    | spl0_62
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f206,f410,f510,f881]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp17
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f879,plain,
    ( spl0_136
    | spl0_112
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f206,f280,f760,f877]) ).

fof(f280,plain,
    ( spl0_16
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp6
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f871,plain,
    ( spl0_134
    | spl0_91
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f206,f300,f655,f869]) ).

fof(f300,plain,
    ( spl0_20
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f846,plain,
    ( spl0_128
    | spl0_68
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f206,f275,f540,f844]) ).

fof(f275,plain,
    ( spl0_15
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f842,plain,
    ( spl0_127
    | spl0_44
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f206,f290,f420,f840]) ).

fof(f420,plain,
    ( spl0_44
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f290,plain,
    ( spl0_18
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp20
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f838,plain,
    ( spl0_126
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f206,f535,f836]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f834,plain,
    ( spl0_91
    | spl0_93
    | spl0_92 ),
    inference(avatar_split_clause,[],[f36,f660,f665,f655]) ).

fof(f36,axiom,
    ( hskp13
    | hskp19
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f833,plain,
    ( spl0_110
    | spl0_111
    | spl0_65 ),
    inference(avatar_split_clause,[],[f33,f525,f755,f750]) ).

fof(f525,plain,
    ( spl0_65
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f33,axiom,
    ( hskp27
    | hskp15
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f831,plain,
    ( spl0_112
    | spl0_90
    | spl0_18 ),
    inference(avatar_split_clause,[],[f32,f290,f650,f760]) ).

fof(f32,axiom,
    ( hskp30
    | hskp9
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f828,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f75,f810,f825]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c3_1(a132) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f823,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f117,f810,f820]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f818,plain,
    ( ~ spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f116,f810,f815]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c0_1(a132) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f808,plain,
    ( spl0_121
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f64,f755,f805]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c2_1(a153) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f803,plain,
    ( spl0_120
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f78,f750,f800]) ).

fof(f78,axiom,
    ( ~ hskp3
    | c1_1(a127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f798,plain,
    ( spl0_119
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f65,f755,f795]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c3_1(a153) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f793,plain,
    ( ~ spl0_118
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f120,f760,f790]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c2_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f788,plain,
    ( ~ spl0_117
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f125,f750,f785]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f783,plain,
    ( ~ spl0_116
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f118,f760,f780]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c0_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f778,plain,
    ( ~ spl0_115
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f103,f755,f775]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f773,plain,
    ( ~ spl0_114
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f119,f760,f770]) ).

fof(f119,axiom,
    ( ~ hskp6
    | ~ c1_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f768,plain,
    ( ~ spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f126,f750,f765]) ).

fof(f126,axiom,
    ( ~ hskp3
    | ~ c3_1(a127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f758,plain,
    ( spl0_1
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f16,f755,f206]) ).

fof(f16,axiom,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

fof(f753,plain,
    ( spl0_1
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f28,f750,f206]) ).

fof(f28,axiom,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f748,plain,
    ( spl0_109
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f74,f670,f745]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c2_1(a134) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f743,plain,
    ( spl0_108
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f67,f660,f740]) ).

fof(f67,axiom,
    ( ~ hskp13
    | c2_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f738,plain,
    ( spl0_107
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f72,f650,f735]) ).

fof(f72,axiom,
    ( ~ hskp9
    | c0_1(a138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f733,plain,
    ( spl0_106
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f69,f655,f730]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c0_1(a142) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f728,plain,
    ( spl0_105
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f58,f665,f725]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c1_1(a164) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f723,plain,
    ( spl0_104
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f73,f650,f720]) ).

fof(f73,axiom,
    ( ~ hskp9
    | c1_1(a138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f718,plain,
    ( spl0_103
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f68,f660,f715]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c3_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f713,plain,
    ( spl0_102
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f70,f655,f710]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c3_1(a142) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f708,plain,
    ( spl0_101
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f59,f665,f705]) ).

fof(f59,axiom,
    ( ~ hskp19
    | c3_1(a164) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f703,plain,
    ( ~ spl0_100
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f97,f665,f700]) ).

fof(f97,axiom,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f698,plain,
    ( ~ spl0_99
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f113,f650,f695]) ).

fof(f113,axiom,
    ( ~ hskp9
    | ~ c2_1(a138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f693,plain,
    ( ~ spl0_98
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f114,f670,f690]) ).

fof(f114,axiom,
    ( ~ hskp8
    | ~ c0_1(a134) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f688,plain,
    ( ~ spl0_97
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f106,f660,f685]) ).

fof(f106,axiom,
    ( ~ hskp13
    | ~ c1_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f683,plain,
    ( ~ spl0_96
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f107,f655,f680]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f678,plain,
    ( ~ spl0_95
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f115,f670,f675]) ).

fof(f115,axiom,
    ( ~ hskp8
    | ~ c3_1(a134) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f648,plain,
    ( spl0_89
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f80,f520,f645]) ).

fof(f80,axiom,
    ( ~ hskp2
    | c2_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f643,plain,
    ( spl0_88
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f83,f540,f640]) ).

fof(f83,axiom,
    ( ~ hskp0
    | c2_1(a123) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f633,plain,
    ( spl0_86
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f54,f535,f630]) ).

fof(f54,axiom,
    ( ~ hskp22
    | c0_1(a176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f628,plain,
    ( spl0_85
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f71,f515,f625]) ).

fof(f71,axiom,
    ( ~ hskp10
    | c0_1(a140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f613,plain,
    ( spl0_82
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f61,f510,f610]) ).

fof(f61,axiom,
    ( ~ hskp17
    | c1_1(a155) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f608,plain,
    ( spl0_81
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f79,f520,f605]) ).

fof(f79,axiom,
    ( ~ hskp2
    | c1_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f598,plain,
    ( ~ spl0_79
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f93,f535,f595]) ).

fof(f93,axiom,
    ( ~ hskp22
    | ~ c2_1(a176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f593,plain,
    ( ~ spl0_78
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f111,f515,f590]) ).

fof(f111,axiom,
    ( ~ hskp10
    | ~ c2_1(a140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f588,plain,
    ( ~ spl0_77
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f101,f510,f585]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f583,plain,
    ( ~ spl0_76
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f129,f540,f580]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f578,plain,
    ( ~ spl0_75
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f127,f520,f575]) ).

fof(f127,axiom,
    ( ~ hskp2
    | ~ c0_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f573,plain,
    ( ~ spl0_74
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f100,f510,f570]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f563,plain,
    ( ~ spl0_72
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f92,f535,f560]) ).

fof(f92,axiom,
    ( ~ hskp22
    | ~ c1_1(a176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f558,plain,
    ( ~ spl0_71
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f130,f540,f555]) ).

fof(f130,axiom,
    ( ~ hskp0
    | ~ c1_1(a123) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f528,plain,
    ( spl0_1
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f4,f525,f206]) ).

fof(f4,axiom,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f503,plain,
    ( spl0_60
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f43,f425,f500]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c2_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f498,plain,
    ( spl0_59
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f82,f430,f495]) ).

fof(f82,axiom,
    ( ~ hskp1
    | c2_1(a124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f493,plain,
    ( spl0_58
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f41,f425,f490]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c0_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f488,plain,
    ( spl0_57
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f57,f420,f485]) ).

fof(f57,axiom,
    ( ~ hskp20
    | c1_1(a168) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f483,plain,
    ( spl0_56
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f81,f430,f480]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c1_1(a124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f478,plain,
    ( spl0_55
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f42,f425,f475]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c1_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f463,plain,
    ( ~ spl0_52
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f88,f410,f460]) ).

fof(f88,axiom,
    ( ~ hskp24
    | ~ c2_1(a182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f453,plain,
    ( ~ spl0_50
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f87,f410,f450]) ).

fof(f87,axiom,
    ( ~ hskp24
    | ~ c0_1(a182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f448,plain,
    ( ~ spl0_49
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f128,f430,f445]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c3_1(a124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f443,plain,
    ( ~ spl0_48
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f89,f410,f440]) ).

fof(f89,axiom,
    ( ~ hskp24
    | ~ c3_1(a182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f438,plain,
    ( ~ spl0_47
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f96,f420,f435]) ).

fof(f96,axiom,
    ( ~ hskp20
    | ~ c3_1(a168) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f398,plain,
    ( spl0_39
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f38,f290,f395]) ).

fof(f38,axiom,
    ( ~ hskp30
    | c0_1(a167) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f388,plain,
    ( spl0_37
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f39,f290,f385]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c1_1(a167) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f373,plain,
    ( spl0_34
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f40,f290,f370]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c3_1(a167) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f368,plain,
    ( spl0_33
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f52,f280,f365]) ).

fof(f52,axiom,
    ( ~ hskp25
    | c3_1(a189) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f363,plain,
    ( spl0_32
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f60,f275,f360]) ).

fof(f60,axiom,
    ( ~ hskp18
    | c3_1(a160) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f358,plain,
    ( ~ spl0_31
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f99,f275,f355]) ).

fof(f99,axiom,
    ( ~ hskp18
    | ~ c2_1(a160) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f353,plain,
    ( ~ spl0_30
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f109,f300,f350]) ).

fof(f109,axiom,
    ( ~ hskp11
    | ~ c2_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f343,plain,
    ( ~ spl0_28
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f85,f280,f340]) ).

fof(f85,axiom,
    ( ~ hskp25
    | ~ c0_1(a189) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f338,plain,
    ( ~ spl0_27
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f86,f280,f335]) ).

fof(f86,axiom,
    ( ~ hskp25
    | ~ c1_1(a189) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f323,plain,
    ( ~ spl0_24
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f275,f320]) ).

fof(f98,axiom,
    ( ~ hskp18
    | ~ c1_1(a160) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f318,plain,
    ( ~ spl0_23
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f108,f300,f315]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c1_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f308,plain,
    ( ~ spl0_21
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f110,f300,f305]) ).

fof(f110,axiom,
    ( ~ hskp11
    | ~ c3_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.18  % Problem    : SYN499-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.19  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.40  % Computer : n017.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8042.1875MB
% 0.11/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.40  % CPULimit   : 300
% 0.11/0.40  % WCLimit    : 300
% 0.11/0.40  % DateTime   : Tue Apr 30 01:29:18 EDT 2024
% 0.11/0.40  % CPUTime    : 
% 0.11/0.40  % (14601)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.42  % (14606)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.42  % (14605)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.42  % (14607)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.42  % (14603)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.42  % (14608)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)
% 0.11/0.42  % (14604)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)
% 0.11/0.43  % (14602)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.43  Detected minimum model sizes of [1]
% 0.11/0.43  Detected maximum model sizes of [31]
% 0.11/0.43  TRYING [1]
% 0.11/0.43  TRYING [2]
% 0.11/0.43  Detected minimum model sizes of [1]
% 0.11/0.43  Detected maximum model sizes of [31]
% 0.11/0.43  TRYING [1]
% 0.17/0.43  Detected minimum model sizes of [1]
% 0.17/0.43  Detected maximum model sizes of [31]
% 0.17/0.43  TRYING [1]
% 0.17/0.43  TRYING [2]
% 0.17/0.43  TRYING [2]
% 0.17/0.43  TRYING [3]
% 0.17/0.43  Detected minimum model sizes of [1]
% 0.17/0.43  Detected maximum model sizes of [31]
% 0.17/0.43  TRYING [1]
% 0.17/0.43  TRYING [2]
% 0.17/0.43  TRYING [3]
% 0.17/0.43  TRYING [3]
% 0.17/0.43  TRYING [3]
% 0.17/0.44  TRYING [4]
% 0.17/0.44  TRYING [4]
% 0.17/0.44  TRYING [4]
% 0.17/0.44  TRYING [4]
% 0.17/0.45  % (14607)First to succeed.
% 0.17/0.45  TRYING [5]
% 0.17/0.45  TRYING [5]
% 0.17/0.45  TRYING [5]
% 0.17/0.46  % (14607)Refutation found. Thanks to Tanya!
% 0.17/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46  % (14607)------------------------------
% 0.17/0.46  % (14607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.46  % (14607)Termination reason: Refutation
% 0.17/0.46  
% 0.17/0.46  % (14607)Memory used [KB]: 1699
% 0.17/0.46  % (14607)Time elapsed: 0.034 s
% 0.17/0.46  % (14607)Instructions burned: 66 (million)
% 0.17/0.46  % (14607)------------------------------
% 0.17/0.46  % (14607)------------------------------
% 0.17/0.46  % (14601)Success in time 0.054 s
%------------------------------------------------------------------------------