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

View Problem - Process Solution

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

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:02 EDT 2024

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  250
% Syntax   : Number of formulae    :  645 (   1 unt;   0 def)
%            Number of atoms       : 2105 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2569 (1109   ~;1331   |;   0   &)
%                                         ( 129 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  161 ( 160 usr; 157 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  133 ( 133   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2764,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f278,f283,f288,f293,f298,f333,f343,f348,f353,f358,f363,f368,f373,f378,f383,f388,f393,f398,f403,f413,f418,f423,f448,f468,f473,f483,f488,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f698,f708,f718,f723,f728,f738,f743,f748,f753,f758,f763,f773,f783,f788,f793,f798,f803,f804,f805,f806,f807,f809,f811,f819,f820,f824,f836,f840,f845,f849,f853,f861,f865,f873,f877,f879,f880,f884,f888,f893,f897,f899,f903,f905,f909,f913,f918,f931,f933,f936,f937,f938,f945,f946,f950,f951,f954,f959,f962,f969,f970,f971,f989,f1031,f1042,f1058,f1133,f1135,f1160,f1407,f1433,f1462,f1527,f1530,f1563,f1604,f1721,f1736,f1752,f1757,f1790,f1824,f1925,f1997,f2002,f2025,f2080,f2165,f2174,f2201,f2215,f2228,f2241,f2257,f2304,f2306,f2357,f2368,f2418,f2458,f2461,f2471,f2530,f2531,f2661,f2663,f2683,f2685,f2694,f2697,f2733,f2763]) ).

fof(f2763,plain,
    ( spl0_91
    | ~ spl0_94
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2762]) ).

fof(f2762,plain,
    ( $false
    | spl0_91
    | ~ spl0_94
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2755,f667]) ).

fof(f667,plain,
    ( c2_1(a99)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_94
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2755,plain,
    ( ~ c2_1(a99)
    | spl0_91
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(resolution,[],[f2745,f652]) ).

fof(f652,plain,
    ( ~ c1_1(a99)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_91
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2745,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f876,f872]) ).

fof(f872,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f876,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2733,plain,
    ( spl0_86
    | ~ spl0_94
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2732]) ).

fof(f2732,plain,
    ( $false
    | spl0_86
    | ~ spl0_94
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2731,f627]) ).

fof(f627,plain,
    ( ~ c0_1(a99)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_86
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2731,plain,
    ( c0_1(a99)
    | ~ spl0_94
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(resolution,[],[f2707,f667]) ).

fof(f2707,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f876,f908]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2697,plain,
    ( spl0_86
    | ~ spl0_94
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2579,f855,f830,f665,f625]) ).

fof(f830,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f855,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2579,plain,
    ( c0_1(a99)
    | ~ spl0_94
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(resolution,[],[f2572,f667]) ).

fof(f2572,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f856,f831]) ).

fof(f831,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f856,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f2694,plain,
    ( ~ spl0_16
    | spl0_155
    | ~ spl0_20
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2622,f863,f295,f1642,f275]) ).

fof(f275,plain,
    ( spl0_16
  <=> c3_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1642,plain,
    ( spl0_155
  <=> c2_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f295,plain,
    ( spl0_20
  <=> c0_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f863,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2622,plain,
    ( c2_1(a195)
    | ~ c3_1(a195)
    | ~ spl0_20
    | ~ spl0_133 ),
    inference(resolution,[],[f864,f297]) ).

fof(f297,plain,
    ( c0_1(a195)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f864,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f2685,plain,
    ( ~ spl0_64
    | ~ spl0_69
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2684]) ).

fof(f2684,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2668,f542]) ).

fof(f542,plain,
    ( c0_1(a101)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_69
  <=> c0_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2668,plain,
    ( ~ c0_1(a101)
    | ~ spl0_64
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f2666,f517]) ).

fof(f517,plain,
    ( c3_1(a101)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_64
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2666,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f949,f917]) ).

fof(f917,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2683,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2682]) ).

fof(f2682,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2667,f292]) ).

fof(f292,plain,
    ( c0_1(a166)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl0_19
  <=> c0_1(a166) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2667,plain,
    ( ~ c0_1(a166)
    | ~ spl0_17
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f2666,f282]) ).

fof(f282,plain,
    ( c3_1(a166)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_17
  <=> c3_1(a166) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2663,plain,
    ( spl0_118
    | ~ spl0_121
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | spl0_118
    | ~ spl0_121
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2653,f802]) ).

fof(f802,plain,
    ( c0_1(a98)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_121
  <=> c0_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2653,plain,
    ( ~ c0_1(a98)
    | spl0_118
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(resolution,[],[f2646,f787]) ).

fof(f787,plain,
    ( ~ c1_1(a98)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_118
  <=> c1_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2646,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f921,f917]) ).

fof(f921,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f920,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2661,plain,
    ( spl0_88
    | ~ spl0_96
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | spl0_88
    | ~ spl0_96
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2651,f677]) ).

fof(f677,plain,
    ( c0_1(a122)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_96
  <=> c0_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2651,plain,
    ( ~ c0_1(a122)
    | spl0_88
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(resolution,[],[f2646,f637]) ).

fof(f637,plain,
    ( ~ c1_1(a122)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_88
  <=> c1_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2531,plain,
    ( spl0_163
    | spl0_91
    | ~ spl0_94
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2123,f826,f665,f650,f2365]) ).

fof(f2365,plain,
    ( spl0_163
  <=> c3_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f826,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2123,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | ~ spl0_94
    | ~ spl0_124 ),
    inference(resolution,[],[f827,f667]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f2530,plain,
    ( ~ spl0_68
    | spl0_60
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2526,f907,f555,f495,f535]) ).

fof(f535,plain,
    ( spl0_68
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f495,plain,
    ( spl0_60
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f555,plain,
    ( spl0_72
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2526,plain,
    ( ~ c2_1(a108)
    | spl0_60
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2521,f497]) ).

fof(f497,plain,
    ( ~ c0_1(a108)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f2521,plain,
    ( c0_1(a108)
    | ~ c2_1(a108)
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(resolution,[],[f908,f557]) ).

fof(f557,plain,
    ( c1_1(a108)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f2471,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | ~ spl0_17
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2468,f882,f280,f290,f285]) ).

fof(f285,plain,
    ( spl0_18
  <=> c2_1(a166) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f882,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2468,plain,
    ( ~ c0_1(a166)
    | ~ c2_1(a166)
    | ~ spl0_17
    | ~ spl0_137 ),
    inference(resolution,[],[f282,f883]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2461,plain,
    ( ~ spl0_64
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_130
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2460,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_130
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2459,f2284]) ).

fof(f2284,plain,
    ( c2_1(a101)
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2271,f542]) ).

fof(f2271,plain,
    ( c2_1(a101)
    | ~ c0_1(a101)
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(resolution,[],[f852,f552]) ).

fof(f552,plain,
    ( c1_1(a101)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_71
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f852,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f851,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2459,plain,
    ( ~ c2_1(a101)
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2438,f542]) ).

fof(f2438,plain,
    ( ~ c0_1(a101)
    | ~ c2_1(a101)
    | ~ spl0_64
    | ~ spl0_137 ),
    inference(resolution,[],[f883,f517]) ).

fof(f2458,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_137
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2457,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_137
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2456,f377]) ).

fof(f377,plain,
    ( c2_1(a137)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_36
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2456,plain,
    ( ~ c2_1(a137)
    | ~ spl0_37
    | ~ spl0_137
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2437,f382]) ).

fof(f382,plain,
    ( c0_1(a137)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_37
  <=> c0_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2437,plain,
    ( ~ c0_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_137
    | ~ spl0_162 ),
    inference(resolution,[],[f883,f2211]) ).

fof(f2211,plain,
    ( c3_1(a137)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f2210]) ).

fof(f2210,plain,
    ( spl0_162
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2418,plain,
    ( spl0_85
    | spl0_90
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | spl0_85
    | spl0_90
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2412,f622]) ).

fof(f622,plain,
    ( ~ c0_1(a112)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl0_85
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2412,plain,
    ( c0_1(a112)
    | spl0_90
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(resolution,[],[f2402,f647]) ).

fof(f647,plain,
    ( ~ c1_1(a112)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_90
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2402,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f896,f2259]) ).

fof(f2259,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f835,f827]) ).

fof(f835,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f896,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_140
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2368,plain,
    ( ~ spl0_163
    | spl0_86
    | ~ spl0_94
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2161,f855,f665,f625,f2365]) ).

fof(f2161,plain,
    ( c0_1(a99)
    | ~ c3_1(a99)
    | ~ spl0_94
    | ~ spl0_131 ),
    inference(resolution,[],[f856,f667]) ).

fof(f2357,plain,
    ( spl0_105
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2356,plain,
    ( $false
    | spl0_105
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2346,f722]) ).

fof(f722,plain,
    ( ~ c2_1(a130)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_105
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2346,plain,
    ( c2_1(a130)
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(resolution,[],[f2340,f762]) ).

fof(f762,plain,
    ( c1_1(a130)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_113
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2340,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f912,f852]) ).

fof(f912,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl0_143
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2306,plain,
    ( spl0_90
    | ~ spl0_93
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2305]) ).

fof(f2305,plain,
    ( $false
    | spl0_90
    | ~ spl0_93
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2296,f662]) ).

fof(f662,plain,
    ( c3_1(a112)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_93
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2296,plain,
    ( ~ c3_1(a112)
    | spl0_90
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(resolution,[],[f2290,f647]) ).

fof(f2290,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f891,f2258]) ).

fof(f2258,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f876,f872]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2304,plain,
    ( spl0_32
    | ~ spl0_34
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | spl0_32
    | ~ spl0_34
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2293,f367]) ).

fof(f367,plain,
    ( c3_1(a136)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_34
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2293,plain,
    ( ~ c3_1(a136)
    | spl0_32
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(resolution,[],[f2290,f357]) ).

fof(f357,plain,
    ( ~ c1_1(a136)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_32
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2257,plain,
    ( ~ spl0_159
    | spl0_31
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2253,f871,f370,f350,f2019]) ).

fof(f2019,plain,
    ( spl0_159
  <=> c0_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f350,plain,
    ( spl0_31
  <=> c1_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f370,plain,
    ( spl0_35
  <=> c2_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2253,plain,
    ( c1_1(a100)
    | ~ c0_1(a100)
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(resolution,[],[f872,f372]) ).

fof(f372,plain,
    ( c2_1(a100)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f2241,plain,
    ( spl0_62
    | ~ spl0_67
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2240]) ).

fof(f2240,plain,
    ( $false
    | spl0_62
    | ~ spl0_67
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2234,f507]) ).

fof(f507,plain,
    ( ~ c0_1(a104)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_62
  <=> c0_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2234,plain,
    ( c0_1(a104)
    | ~ spl0_67
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(resolution,[],[f2219,f532]) ).

fof(f532,plain,
    ( c2_1(a104)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_67
  <=> c2_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2219,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f908,f2130]) ).

fof(f2130,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f835,f827]) ).

fof(f2228,plain,
    ( spl0_13
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2227]) ).

fof(f2227,plain,
    ( $false
    | spl0_13
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2225,f262]) ).

fof(f262,plain,
    ( ~ c1_1(a195)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_13
  <=> c1_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2225,plain,
    ( c1_1(a195)
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(resolution,[],[f1643,f2130]) ).

fof(f1643,plain,
    ( c2_1(a195)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1642]) ).

fof(f2215,plain,
    ( ~ spl0_37
    | spl0_162
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2081,f817,f400,f2210,f380]) ).

fof(f400,plain,
    ( spl0_41
  <=> c1_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f817,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2081,plain,
    ( c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(resolution,[],[f818,f402]) ).

fof(f402,plain,
    ( c1_1(a137)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f818,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f2201,plain,
    ( spl0_82
    | ~ spl0_92
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2200]) ).

fof(f2200,plain,
    ( $false
    | spl0_82
    | ~ spl0_92
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2199,f657]) ).

fof(f657,plain,
    ( c3_1(a138)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f655,plain,
    ( spl0_92
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2199,plain,
    ( ~ c3_1(a138)
    | spl0_82
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2182,f607]) ).

fof(f607,plain,
    ( ~ c2_1(a138)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_82
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2182,plain,
    ( c2_1(a138)
    | ~ c3_1(a138)
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(resolution,[],[f864,f682]) ).

fof(f682,plain,
    ( c0_1(a138)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_97
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2174,plain,
    ( ~ spl0_33
    | spl0_159
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2160,f855,f370,f2019,f360]) ).

fof(f360,plain,
    ( spl0_33
  <=> c3_1(a100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2160,plain,
    ( c0_1(a100)
    | ~ c3_1(a100)
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(resolution,[],[f856,f372]) ).

fof(f2165,plain,
    ( spl0_61
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2164,plain,
    ( $false
    | spl0_61
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2163,f522]) ).

fof(f522,plain,
    ( c3_1(a106)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl0_65
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2163,plain,
    ( ~ c3_1(a106)
    | spl0_61
    | ~ spl0_66
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2156,f502]) ).

fof(f502,plain,
    ( ~ c0_1(a106)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_61
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2156,plain,
    ( c0_1(a106)
    | ~ c3_1(a106)
    | ~ spl0_66
    | ~ spl0_131 ),
    inference(resolution,[],[f856,f527]) ).

fof(f527,plain,
    ( c2_1(a106)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl0_66
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2080,plain,
    ( spl0_55
    | spl0_58
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2079]) ).

fof(f2079,plain,
    ( $false
    | spl0_55
    | spl0_58
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2074,f487]) ).

fof(f487,plain,
    ( ~ c2_1(a132)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl0_58
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2074,plain,
    ( c2_1(a132)
    | spl0_55
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f2065,f472]) ).

fof(f472,plain,
    ( ~ c3_1(a132)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl0_55
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2065,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f887,f860]) ).

fof(f860,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f859,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f887,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2025,plain,
    ( spl0_58
    | spl0_156
    | spl0_55
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1958,f859,f470,f1754,f485]) ).

fof(f1754,plain,
    ( spl0_156
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1958,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | spl0_55
    | ~ spl0_132 ),
    inference(resolution,[],[f860,f472]) ).

fof(f2002,plain,
    ( spl0_84
    | spl0_80
    | spl0_87
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2001,f859,f630,f595,f615]) ).

fof(f615,plain,
    ( spl0_84
  <=> c2_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f595,plain,
    ( spl0_80
  <=> c3_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f630,plain,
    ( spl0_87
  <=> c0_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2001,plain,
    ( c2_1(a121)
    | spl0_80
    | spl0_87
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1959,f632]) ).

fof(f632,plain,
    ( ~ c0_1(a121)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1959,plain,
    ( c0_1(a121)
    | c2_1(a121)
    | spl0_80
    | ~ spl0_132 ),
    inference(resolution,[],[f860,f597]) ).

fof(f597,plain,
    ( ~ c3_1(a121)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1997,plain,
    ( spl0_27
    | spl0_30
    | ~ spl0_40
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | spl0_27
    | spl0_30
    | ~ spl0_40
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1995,f1960]) ).

fof(f1960,plain,
    ( c2_1(a173)
    | spl0_27
    | spl0_30
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1944,f347]) ).

fof(f347,plain,
    ( ~ c0_1(a173)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl0_30
  <=> c0_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1944,plain,
    ( c0_1(a173)
    | c2_1(a173)
    | spl0_27
    | ~ spl0_132 ),
    inference(resolution,[],[f860,f332]) ).

fof(f332,plain,
    ( ~ c3_1(a173)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_27
  <=> c3_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1995,plain,
    ( ~ c2_1(a173)
    | spl0_30
    | ~ spl0_40
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1981,f347]) ).

fof(f1981,plain,
    ( c0_1(a173)
    | ~ c2_1(a173)
    | ~ spl0_40
    | ~ spl0_142 ),
    inference(resolution,[],[f908,f397]) ).

fof(f397,plain,
    ( c1_1(a173)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_40
  <=> c1_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1925,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | spl0_117
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1923,f797]) ).

fof(f797,plain,
    ( c0_1(a129)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_120
  <=> c0_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1923,plain,
    ( ~ c0_1(a129)
    | spl0_117
    | ~ spl0_119
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1905,f1859]) ).

fof(f1859,plain,
    ( ~ c3_1(a129)
    | spl0_117
    | ~ spl0_119
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1844,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a129)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_117
  <=> c1_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1844,plain,
    ( c1_1(a129)
    | ~ c3_1(a129)
    | ~ spl0_119
    | ~ spl0_126 ),
    inference(resolution,[],[f835,f792]) ).

fof(f792,plain,
    ( c2_1(a129)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_119
  <=> c2_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1905,plain,
    ( c3_1(a129)
    | ~ c0_1(a129)
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(resolution,[],[f839,f792]) ).

fof(f839,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1824,plain,
    ( spl0_62
    | ~ spl0_67
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1823,plain,
    ( $false
    | spl0_62
    | ~ spl0_67
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1818,f507]) ).

fof(f1818,plain,
    ( c0_1(a104)
    | ~ spl0_67
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(resolution,[],[f1809,f532]) ).

fof(f1809,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f831,f1197]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f856,f848]) ).

fof(f848,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f847,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1790,plain,
    ( spl0_57
    | ~ spl0_70
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1789]) ).

fof(f1789,plain,
    ( $false
    | spl0_57
    | ~ spl0_70
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1776,f547]) ).

fof(f547,plain,
    ( c0_1(a97)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_70
  <=> c0_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1776,plain,
    ( ~ c0_1(a97)
    | spl0_57
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(resolution,[],[f1758,f482]) ).

fof(f482,plain,
    ( ~ c2_1(a97)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_57
  <=> c2_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f852,f844]) ).

fof(f844,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1757,plain,
    ( spl0_58
    | ~ spl0_156
    | spl0_63
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1558,f843,f510,f1754,f485]) ).

fof(f510,plain,
    ( spl0_63
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1558,plain,
    ( ~ c0_1(a132)
    | c2_1(a132)
    | spl0_63
    | ~ spl0_128 ),
    inference(resolution,[],[f844,f512]) ).

fof(f512,plain,
    ( ~ c1_1(a132)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1752,plain,
    ( spl0_58
    | spl0_63
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1746,f895,f843,f510,f485]) ).

fof(f1746,plain,
    ( c2_1(a132)
    | spl0_63
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(resolution,[],[f1737,f512]) ).

fof(f1737,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f896,f844]) ).

fof(f1736,plain,
    ( spl0_62
    | ~ spl0_67
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1735]) ).

fof(f1735,plain,
    ( $false
    | spl0_62
    | ~ spl0_67
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1730,f507]) ).

fof(f1730,plain,
    ( c0_1(a104)
    | ~ spl0_67
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(resolution,[],[f1723,f532]) ).

fof(f1723,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f908,f876]) ).

fof(f1721,plain,
    ( spl0_55
    | spl0_58
    | spl0_63
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | spl0_55
    | spl0_58
    | spl0_63
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1719,f487]) ).

fof(f1719,plain,
    ( c2_1(a132)
    | spl0_55
    | spl0_63
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1713,f472]) ).

fof(f1713,plain,
    ( c3_1(a132)
    | c2_1(a132)
    | spl0_63
    | ~ spl0_141 ),
    inference(resolution,[],[f902,f512]) ).

fof(f902,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_141
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1604,plain,
    ( spl0_54
    | spl0_57
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | spl0_54
    | spl0_57
    | ~ spl0_70
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1602,f547]) ).

fof(f1602,plain,
    ( ~ c0_1(a97)
    | spl0_54
    | spl0_57
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1593,f482]) ).

fof(f1593,plain,
    ( c2_1(a97)
    | ~ c0_1(a97)
    | spl0_54
    | ~ spl0_138 ),
    inference(resolution,[],[f887,f467]) ).

fof(f467,plain,
    ( ~ c3_1(a97)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl0_54
  <=> c3_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1563,plain,
    ( spl0_83
    | spl0_88
    | ~ spl0_96
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | spl0_83
    | spl0_88
    | ~ spl0_96
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1561,f612]) ).

fof(f612,plain,
    ( ~ c2_1(a122)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_83
  <=> c2_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1561,plain,
    ( c2_1(a122)
    | spl0_88
    | ~ spl0_96
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1552,f677]) ).

fof(f1552,plain,
    ( ~ c0_1(a122)
    | c2_1(a122)
    | spl0_88
    | ~ spl0_128 ),
    inference(resolution,[],[f844,f637]) ).

fof(f1530,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1529,f871,f795,f790,f780]) ).

fof(f1529,plain,
    ( c1_1(a129)
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1495,f797]) ).

fof(f1495,plain,
    ( c1_1(a129)
    | ~ c0_1(a129)
    | ~ spl0_119
    | ~ spl0_135 ),
    inference(resolution,[],[f872,f792]) ).

fof(f1527,plain,
    ( spl0_104
    | spl0_106
    | ~ spl0_108
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1201,f847,f735,f725,f715]) ).

fof(f715,plain,
    ( spl0_104
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f725,plain,
    ( spl0_106
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f735,plain,
    ( spl0_108
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1201,plain,
    ( c0_1(a107)
    | c2_1(a107)
    | ~ spl0_108
    | ~ spl0_129 ),
    inference(resolution,[],[f737,f848]) ).

fof(f737,plain,
    ( c3_1(a107)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1462,plain,
    ( spl0_102
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1461,plain,
    ( $false
    | spl0_102
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1460,f752]) ).

fof(f752,plain,
    ( c0_1(a103)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_111
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1460,plain,
    ( ~ c0_1(a103)
    | spl0_102
    | ~ spl0_109
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1452,f707]) ).

fof(f707,plain,
    ( ~ c3_1(a103)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_102
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1452,plain,
    ( c3_1(a103)
    | ~ c0_1(a103)
    | ~ spl0_109
    | ~ spl0_127 ),
    inference(resolution,[],[f839,f742]) ).

fof(f742,plain,
    ( c2_1(a103)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_109
  <=> c2_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1433,plain,
    ( spl0_102
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | spl0_102
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1431,f752]) ).

fof(f1431,plain,
    ( ~ c0_1(a103)
    | spl0_102
    | ~ spl0_109
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1423,f742]) ).

fof(f1423,plain,
    ( ~ c2_1(a103)
    | ~ c0_1(a103)
    | spl0_102
    | ~ spl0_109
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(resolution,[],[f823,f1372]) ).

fof(f1372,plain,
    ( c1_1(a103)
    | spl0_102
    | ~ spl0_109
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1371,f707]) ).

fof(f1371,plain,
    ( c1_1(a103)
    | c3_1(a103)
    | ~ spl0_109
    | ~ spl0_124 ),
    inference(resolution,[],[f742,f827]) ).

fof(f823,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1407,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | spl0_43
    | ~ spl0_44
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1405,f417]) ).

fof(f417,plain,
    ( c0_1(a116)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_44
  <=> c0_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1405,plain,
    ( ~ c0_1(a116)
    | spl0_43
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1399,f412]) ).

fof(f412,plain,
    ( ~ c3_1(a116)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_43
  <=> c3_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1399,plain,
    ( c3_1(a116)
    | ~ c0_1(a116)
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(resolution,[],[f818,f422]) ).

fof(f422,plain,
    ( c1_1(a116)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_45
  <=> c1_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1160,plain,
    ( ~ spl0_110
    | ~ spl0_112
    | ~ spl0_123
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_123
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1156,f747]) ).

fof(f747,plain,
    ( c2_1(a105)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_110
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1156,plain,
    ( ~ c2_1(a105)
    | ~ spl0_112
    | ~ spl0_123
    | ~ spl0_142 ),
    inference(resolution,[],[f1117,f757]) ).

fof(f757,plain,
    ( c1_1(a105)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_112
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1117,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_123
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f908,f823]) ).

fof(f1135,plain,
    ( ~ spl0_119
    | ~ spl0_120
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1125,f792]) ).

fof(f1125,plain,
    ( ~ c2_1(a129)
    | ~ spl0_120
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(resolution,[],[f1095,f797]) ).

fof(f1095,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f883,f839]) ).

fof(f1133,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1121,f377]) ).

fof(f1121,plain,
    ( ~ c2_1(a137)
    | ~ spl0_37
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(resolution,[],[f1095,f382]) ).

fof(f1058,plain,
    ( spl0_85
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1057,plain,
    ( $false
    | spl0_85
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1053,f622]) ).

fof(f1053,plain,
    ( c0_1(a112)
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(resolution,[],[f1046,f662]) ).

fof(f1046,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f856,f848]) ).

fof(f1042,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1040,f382]) ).

fof(f1040,plain,
    ( ~ c0_1(a137)
    | ~ spl0_36
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1035,f377]) ).

fof(f1035,plain,
    ( ~ c2_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(resolution,[],[f823,f402]) ).

fof(f1031,plain,
    ( spl0_29
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1030,plain,
    ( $false
    | spl0_29
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1029,f387]) ).

fof(f387,plain,
    ( c0_1(a113)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_38
  <=> c0_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1029,plain,
    ( ~ c0_1(a113)
    | spl0_29
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1025,f342]) ).

fof(f342,plain,
    ( ~ c2_1(a113)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_29
  <=> c2_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1025,plain,
    ( c2_1(a113)
    | ~ c0_1(a113)
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(resolution,[],[f852,f392]) ).

fof(f392,plain,
    ( c1_1(a113)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_39
  <=> c1_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f989,plain,
    ( spl0_81
    | spl0_89
    | ~ spl0_95
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f988]) ).

fof(f988,plain,
    ( $false
    | spl0_81
    | spl0_89
    | ~ spl0_95
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f987,f602]) ).

fof(f602,plain,
    ( ~ c3_1(a124)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_81
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f987,plain,
    ( c3_1(a124)
    | spl0_89
    | ~ spl0_95
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f982,f642]) ).

fof(f642,plain,
    ( ~ c1_1(a124)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_89
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f982,plain,
    ( c1_1(a124)
    | c3_1(a124)
    | ~ spl0_95
    | ~ spl0_124 ),
    inference(resolution,[],[f827,f672]) ).

fof(f672,plain,
    ( c2_1(a124)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_95
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f971,plain,
    ( spl0_140
    | spl0_125
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f201,f875,f830,f895]) ).

fof(f201,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f186,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f970,plain,
    ( spl0_130
    | spl0_142
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f201,f822,f907,f851]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f969,plain,
    ( spl0_128
    | spl0_135
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f201,f838,f871,f843]) ).

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

fof(f962,plain,
    ( spl0_132
    | spl0_130
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f201,f855,f851,f859]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f959,plain,
    ( spl0_132
    | spl0_129
    | spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f201,f916,f847,f859]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f954,plain,
    ( spl0_135
    | spl0_126
    | spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f201,f882,f834,f871]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f951,plain,
    ( spl0_136
    | spl0_124
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f201,f765,f826,f875]) ).

fof(f765,plain,
    ( spl0_114
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f950,plain,
    ( spl0_145
    | spl0_149
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f201,f770,f948,f920]) ).

fof(f770,plain,
    ( spl0_115
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f946,plain,
    ( spl0_137
    | spl0_131
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f201,f765,f855,f882]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f945,plain,
    ( spl0_128
    | spl0_124
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f201,f695,f826,f843]) ).

fof(f695,plain,
    ( spl0_100
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f938,plain,
    ( spl0_141
    | spl0_127
    | spl0_74
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f201,f565,f838,f901]) ).

fof(f565,plain,
    ( spl0_74
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f937,plain,
    ( spl0_142
    | spl0_127
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f201,f585,f838,f907]) ).

fof(f585,plain,
    ( spl0_78
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f936,plain,
    ( spl0_141
    | spl0_131
    | spl0_77
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f201,f580,f855,f901]) ).

fof(f580,plain,
    ( spl0_77
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f933,plain,
    ( spl0_142
    | spl0_131
    | spl0_74
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f201,f565,f855,f907]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f931,plain,
    ( spl0_140
    | spl0_129
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f201,f450,f847,f895]) ).

fof(f450,plain,
    ( spl0_51
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f918,plain,
    ( spl0_128
    | spl0_144
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f201,f445,f916,f843]) ).

fof(f445,plain,
    ( spl0_50
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f913,plain,
    ( spl0_143
    | spl0_142
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f201,f325,f907,f911]) ).

fof(f325,plain,
    ( spl0_26
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f909,plain,
    ( spl0_136
    | spl0_142
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f201,f305,f907,f875]) ).

fof(f305,plain,
    ( spl0_22
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f905,plain,
    ( spl0_130
    | spl0_139
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f201,f310,f890,f851]) ).

fof(f310,plain,
    ( spl0_23
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f903,plain,
    ( spl0_141
    | spl0_115
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f201,f685,f770,f901]) ).

fof(f685,plain,
    ( spl0_98
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp18
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f899,plain,
    ( spl0_122
    | spl0_115
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f201,f690,f770,f817]) ).

fof(f690,plain,
    ( spl0_99
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp18
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f897,plain,
    ( spl0_140
    | spl0_114
    | spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f201,f575,f765,f895]) ).

fof(f575,plain,
    ( spl0_76
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp1
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f893,plain,
    ( spl0_138
    | spl0_115
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f201,f590,f770,f886]) ).

fof(f590,plain,
    ( spl0_79
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp18
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f888,plain,
    ( spl0_138
    | spl0_78
    | spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f201,f575,f585,f886]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp16
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f884,plain,
    ( spl0_137
    | spl0_114
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f201,f440,f765,f882]) ).

fof(f440,plain,
    ( spl0_49
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp1
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f880,plain,
    ( spl0_128
    | spl0_101
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f201,f445,f700,f843]) ).

fof(f700,plain,
    ( spl0_101
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp6
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f879,plain,
    ( spl0_122
    | spl0_98
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f201,f455,f685,f817]) ).

fof(f455,plain,
    ( spl0_52
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp19
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f877,plain,
    ( spl0_136
    | spl0_101
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f201,f425,f700,f875]) ).

fof(f425,plain,
    ( spl0_46
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp6
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f873,plain,
    ( spl0_135
    | spl0_100
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f201,f425,f695,f871]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp4
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f865,plain,
    ( spl0_133
    | spl0_100
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f201,f425,f695,f863]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp4
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f861,plain,
    ( spl0_132
    | spl0_79
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f201,f430,f590,f859]) ).

fof(f430,plain,
    ( spl0_47
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f853,plain,
    ( spl0_130
    | spl0_46
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f201,f445,f425,f851]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp7
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f849,plain,
    ( spl0_129
    | spl0_47
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f201,f405,f430,f847]) ).

fof(f405,plain,
    ( spl0_42
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp5
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f845,plain,
    ( spl0_128
    | spl0_76
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f201,f320,f575,f843]) ).

fof(f320,plain,
    ( spl0_25
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp2
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f840,plain,
    ( spl0_127
    | spl0_78
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f201,f315,f585,f838]) ).

fof(f315,plain,
    ( spl0_24
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp16
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f836,plain,
    ( spl0_126
    | spl0_77
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f201,f305,f580,f834]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp17
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f824,plain,
    ( spl0_123
    | spl0_52
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f201,f210,f455,f822]) ).

fof(f210,plain,
    ( spl0_3
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp27
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f820,plain,
    ( spl0_122
    | spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f201,f700,f817]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f819,plain,
    ( spl0_122
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f201,f450,f817]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f811,plain,
    ( spl0_115
    | spl0_100
    | spl0_50 ),
    inference(avatar_split_clause,[],[f35,f445,f695,f770]) ).

fof(f35,axiom,
    ( hskp20
    | hskp4
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f809,plain,
    ( spl0_79
    | spl0_75
    | spl0_51 ),
    inference(avatar_split_clause,[],[f38,f450,f570,f590]) ).

fof(f570,plain,
    ( spl0_75
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f38,axiom,
    ( hskp0
    | hskp22
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f807,plain,
    ( spl0_115
    | spl0_99
    | spl0_42 ),
    inference(avatar_split_clause,[],[f34,f405,f690,f770]) ).

fof(f34,axiom,
    ( hskp13
    | hskp8
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f806,plain,
    ( spl0_100
    | spl0_75
    | spl0_23 ),
    inference(avatar_split_clause,[],[f32,f310,f570,f695]) ).

fof(f32,axiom,
    ( hskp28
    | hskp22
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f805,plain,
    ( spl0_47
    | spl0_24
    | spl0_6 ),
    inference(avatar_split_clause,[],[f37,f225,f315,f430]) ).

fof(f225,plain,
    ( spl0_6
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f37,axiom,
    ( hskp26
    | hskp25
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f804,plain,
    ( spl0_42
    | spl0_26 ),
    inference(avatar_split_clause,[],[f1,f325,f405]) ).

fof(f1,axiom,
    ( hskp12
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f803,plain,
    ( spl0_121
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f85,f765,f800]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c0_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f798,plain,
    ( spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f770,f795]) ).

fof(f62,axiom,
    ( ~ hskp18
    | c0_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f793,plain,
    ( spl0_119
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f63,f770,f790]) ).

fof(f63,axiom,
    ( ~ hskp18
    | c2_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f788,plain,
    ( ~ spl0_118
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f129,f765,f785]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f783,plain,
    ( ~ spl0_117
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f101,f770,f780]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f773,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f13,f770,f201]) ).

fof(f13,axiom,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f763,plain,
    ( spl0_113
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f60,f685,f760]) ).

fof(f60,axiom,
    ( ~ hskp19
    | c1_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f758,plain,
    ( spl0_112
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f77,f700,f755]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c1_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f753,plain,
    ( spl0_111
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f80,f695,f750]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f748,plain,
    ( spl0_110
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f78,f700,f745]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f743,plain,
    ( spl0_109
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f81,f695,f740]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c2_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f738,plain,
    ( spl0_108
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f74,f690,f735]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c3_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f728,plain,
    ( ~ spl0_106
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f119,f690,f725]) ).

fof(f119,axiom,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f723,plain,
    ( ~ spl0_105
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f100,f685,f720]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f718,plain,
    ( ~ spl0_104
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f120,f690,f715]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f708,plain,
    ( ~ spl0_102
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f125,f695,f705]) ).

fof(f125,axiom,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f698,plain,
    ( spl0_1
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f27,f695,f201]) ).

fof(f27,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f683,plain,
    ( spl0_97
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f57,f570,f680]) ).

fof(f57,axiom,
    ( ~ hskp22
    | c0_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f678,plain,
    ( spl0_96
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f65,f585,f675]) ).

fof(f65,axiom,
    ( ~ hskp16
    | c0_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f673,plain,
    ( spl0_95
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f64,f580,f670]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c2_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f668,plain,
    ( spl0_94
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f84,f575,f665]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c2_1(a99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f663,plain,
    ( spl0_93
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f70,f590,f660]) ).

fof(f70,axiom,
    ( ~ hskp11
    | c3_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f658,plain,
    ( spl0_92
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f58,f570,f655]) ).

fof(f58,axiom,
    ( ~ hskp22
    | c3_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f653,plain,
    ( ~ spl0_91
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f128,f575,f650]) ).

fof(f128,axiom,
    ( ~ hskp2
    | ~ c1_1(a99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f648,plain,
    ( ~ spl0_90
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f115,f590,f645]) ).

fof(f115,axiom,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f643,plain,
    ( ~ spl0_89
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f102,f580,f640]) ).

fof(f102,axiom,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f638,plain,
    ( ~ spl0_88
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f104,f585,f635]) ).

fof(f104,axiom,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f633,plain,
    ( ~ spl0_87
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f106,f565,f630]) ).

fof(f106,axiom,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f628,plain,
    ( ~ spl0_86
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f127,f575,f625]) ).

fof(f127,axiom,
    ( ~ hskp2
    | ~ c0_1(a99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f623,plain,
    ( ~ spl0_85
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f114,f590,f620]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f618,plain,
    ( ~ spl0_84
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f107,f565,f615]) ).

fof(f107,axiom,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f613,plain,
    ( ~ spl0_83
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f105,f585,f610]) ).

fof(f105,axiom,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f608,plain,
    ( ~ spl0_82
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f94,f570,f605]) ).

fof(f94,axiom,
    ( ~ hskp22
    | ~ c2_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f603,plain,
    ( ~ spl0_81
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f103,f580,f600]) ).

fof(f103,axiom,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f598,plain,
    ( ~ spl0_80
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f108,f565,f595]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f558,plain,
    ( spl0_72
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f72,f440,f555]) ).

fof(f72,axiom,
    ( ~ hskp9
    | c1_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f553,plain,
    ( spl0_71
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f50,f455,f550]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c1_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f548,plain,
    ( spl0_70
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f86,f450,f545]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c0_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f543,plain,
    ( spl0_69
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f49,f455,f540]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c0_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f538,plain,
    ( spl0_68
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f73,f440,f535]) ).

fof(f73,axiom,
    ( ~ hskp9
    | c2_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f533,plain,
    ( spl0_67
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f79,f430,f530]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c2_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f528,plain,
    ( spl0_66
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f75,f425,f525]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c2_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f523,plain,
    ( spl0_65
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f76,f425,f520]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c3_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f518,plain,
    ( spl0_64
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f51,f455,f515]) ).

fof(f51,axiom,
    ( ~ hskp27
    | c3_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f513,plain,
    ( ~ spl0_63
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f97,f445,f510]) ).

fof(f97,axiom,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f508,plain,
    ( ~ spl0_62
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f123,f430,f505]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f503,plain,
    ( ~ spl0_61
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f121,f425,f500]) ).

fof(f121,axiom,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f498,plain,
    ( ~ spl0_60
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f118,f440,f495]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f488,plain,
    ( ~ spl0_58
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f98,f445,f485]) ).

fof(f98,axiom,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f483,plain,
    ( ~ spl0_57
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f131,f450,f480]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f473,plain,
    ( ~ spl0_55
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f99,f445,f470]) ).

fof(f99,axiom,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f468,plain,
    ( ~ spl0_54
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f132,f450,f465]) ).

fof(f132,axiom,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f448,plain,
    ( spl0_1
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f11,f445,f201]) ).

fof(f11,axiom,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f423,plain,
    ( spl0_45
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f67,f405,f420]) ).

fof(f67,axiom,
    ( ~ hskp13
    | c1_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f418,plain,
    ( spl0_44
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f66,f405,f415]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c0_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f413,plain,
    ( ~ spl0_43
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f112,f405,f410]) ).

fof(f112,axiom,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f403,plain,
    ( spl0_41
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f47,f310,f400]) ).

fof(f47,axiom,
    ( ~ hskp28
    | c1_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f398,plain,
    ( spl0_40
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f54,f315,f395]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c1_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f393,plain,
    ( spl0_39
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f69,f325,f390]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f388,plain,
    ( spl0_38
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f68,f325,f385]) ).

fof(f68,axiom,
    ( ~ hskp12
    | c0_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f383,plain,
    ( spl0_37
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f46,f310,f380]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c0_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f378,plain,
    ( spl0_36
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f48,f310,f375]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c2_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f373,plain,
    ( spl0_35
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f82,f305,f370]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c2_1(a100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f368,plain,
    ( spl0_34
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f59,f320,f365]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c3_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f363,plain,
    ( spl0_33
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f83,f305,f360]) ).

fof(f83,axiom,
    ( ~ hskp3
    | c3_1(a100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f358,plain,
    ( ~ spl0_32
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f320,f355]) ).

fof(f95,axiom,
    ( ~ hskp21
    | ~ c1_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f353,plain,
    ( ~ spl0_31
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f126,f305,f350]) ).

fof(f126,axiom,
    ( ~ hskp3
    | ~ c1_1(a100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f348,plain,
    ( ~ spl0_30
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f88,f315,f345]) ).

fof(f88,axiom,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f343,plain,
    ( ~ spl0_29
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f113,f325,f340]) ).

fof(f113,axiom,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f333,plain,
    ( ~ spl0_27
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f89,f315,f330]) ).

fof(f89,axiom,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f298,plain,
    ( spl0_20
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f52,f225,f295]) ).

fof(f52,axiom,
    ( ~ hskp26
    | c0_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f293,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f43,f210,f290]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c0_1(a166) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f288,plain,
    ( spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f44,f210,f285]) ).

fof(f44,axiom,
    ( ~ hskp29
    | c2_1(a166) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f283,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f45,f210,f280]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c3_1(a166) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f278,plain,
    ( spl0_16
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f53,f225,f275]) ).

fof(f53,axiom,
    ( ~ hskp26
    | c3_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f263,plain,
    ( ~ spl0_13
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f87,f225,f260]) ).

fof(f87,axiom,
    ( ~ hskp26
    | ~ c1_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN501-1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n022.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 01:52:43 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (19118)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (19123)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38  % (19120)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (19121)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)
% 0.16/0.38  % (19119)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38  % (19122)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38  % (19124)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38  % (19125)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)
% 0.16/0.38  Detected minimum model sizes of [1]
% 0.16/0.38  Detected maximum model sizes of [30]
% 0.16/0.38  TRYING [1]
% 0.16/0.39  Detected minimum model sizes of [1]
% 0.16/0.39  Detected maximum model sizes of [30]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  Detected minimum model sizes of [1]
% 0.16/0.39  Detected maximum model sizes of [30]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  Detected minimum model sizes of [1]
% 0.16/0.39  Detected maximum model sizes of [30]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [3]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.41  % (19124)First to succeed.
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  % (19124)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (19124)------------------------------
% 0.21/0.43  % (19124)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43  % (19124)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (19124)Memory used [KB]: 1647
% 0.21/0.43  % (19124)Time elapsed: 0.038 s
% 0.21/0.43  % (19124)Instructions burned: 61 (million)
% 0.21/0.43  % (19124)------------------------------
% 0.21/0.43  % (19124)------------------------------
% 0.21/0.43  % (19118)Success in time 0.059 s
%------------------------------------------------------------------------------