TSTP Solution File: SYN443-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN443-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:25 EDT 2024

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  271
% Syntax   : Number of formulae    :  793 (   1 unt;   0 def)
%            Number of atoms       : 2662 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3238 (1369   ~;1724   |;   0   &)
%                                         ( 145 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  157 ( 157   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3151,plain,
    $false,
    inference(avatar_sat_refutation,[],[f223,f228,f238,f248,f263,f278,f283,f288,f333,f338,f343,f348,f353,f358,f363,f368,f373,f378,f383,f393,f403,f408,f413,f418,f423,f428,f433,f438,f468,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f633,f638,f643,f648,f653,f668,f673,f683,f688,f698,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f763,f768,f783,f788,f793,f798,f803,f808,f809,f810,f812,f813,f815,f816,f822,f830,f834,f838,f842,f847,f855,f859,f864,f866,f867,f871,f875,f879,f885,f896,f903,f907,f911,f915,f920,f921,f922,f923,f925,f926,f927,f928,f932,f933,f934,f941,f945,f957,f958,f959,f960,f961,f983,f1007,f1036,f1040,f1065,f1082,f1166,f1182,f1201,f1222,f1317,f1334,f1366,f1368,f1369,f1382,f1391,f1409,f1432,f1435,f1456,f1462,f1471,f1504,f1528,f1585,f1613,f1616,f1632,f1639,f1644,f1676,f1680,f1703,f1707,f1714,f1737,f1755,f1858,f1937,f1961,f1968,f1987,f2012,f2064,f2145,f2178,f2292,f2317,f2387,f2390,f2457,f2460,f2467,f2480,f2499,f2526,f2563,f2565,f2608,f2633,f2636,f2679,f2687,f2726,f2753,f2801,f2814,f2850,f2856,f2875,f2877,f2954,f2956,f2957,f2988,f3050,f3051,f3100,f3125,f3147,f3150]) ).

fof(f3150,plain,
    ( spl0_110
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3149]) ).

fof(f3149,plain,
    ( $false
    | spl0_110
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3143,f732]) ).

fof(f732,plain,
    ( ~ c2_1(a2)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_110
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3143,plain,
    ( c2_1(a2)
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(resolution,[],[f3131,f742]) ).

fof(f742,plain,
    ( c3_1(a2)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_112
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3131,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f918,f841]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f918,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl0_149
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3147,plain,
    ( spl0_37
    | ~ spl0_46
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3146]) ).

fof(f3146,plain,
    ( $false
    | spl0_37
    | ~ spl0_46
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3139,f367]) ).

fof(f367,plain,
    ( ~ c2_1(a32)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_37
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3139,plain,
    ( c2_1(a32)
    | ~ spl0_46
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(resolution,[],[f3131,f412]) ).

fof(f412,plain,
    ( c3_1(a32)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_46
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3125,plain,
    ( ~ spl0_172
    | spl0_93
    | ~ spl0_98
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3124,f913,f670,f645,f2805]) ).

fof(f2805,plain,
    ( spl0_172
  <=> c0_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f645,plain,
    ( spl0_93
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f670,plain,
    ( spl0_98
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f913,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3124,plain,
    ( ~ c0_1(a43)
    | spl0_93
    | ~ spl0_98
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3111,f672]) ).

fof(f672,plain,
    ( c2_1(a43)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f3111,plain,
    ( ~ c0_1(a43)
    | ~ c2_1(a43)
    | spl0_93
    | ~ spl0_148 ),
    inference(resolution,[],[f914,f647]) ).

fof(f647,plain,
    ( ~ c1_1(a43)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f914,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f3100,plain,
    ( spl0_42
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3099,plain,
    ( $false
    | spl0_42
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3098,f427]) ).

fof(f427,plain,
    ( c0_1(a58)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_49
  <=> c0_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3098,plain,
    ( ~ c0_1(a58)
    | spl0_42
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3080,f407]) ).

fof(f407,plain,
    ( c3_1(a58)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_45
  <=> c3_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3080,plain,
    ( ~ c3_1(a58)
    | ~ c0_1(a58)
    | spl0_42
    | ~ spl0_143 ),
    inference(resolution,[],[f895,f392]) ).

fof(f392,plain,
    ( ~ c1_1(a58)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_42
  <=> c1_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f895,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_143
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3051,plain,
    ( spl0_13
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

fof(f3048,plain,
    ( $false
    | spl0_13
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(resolution,[],[f3047,f247]) ).

fof(f247,plain,
    ( ~ c0_1(a42)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_13
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f3047,plain,
    ( ! [X0] : c0_1(X0)
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2961,f2959]) ).

fof(f2959,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f850,f2818]) ).

fof(f2818,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f821,f937]) ).

fof(f937,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl0_151
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f821,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_126
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f850,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2961,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f825,f2818]) ).

fof(f825,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f824,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3050,plain,
    ( spl0_33
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3049,plain,
    ( $false
    | spl0_33
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(resolution,[],[f3047,f347]) ).

fof(f347,plain,
    ( ~ c0_1(a38)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl0_33
  <=> c0_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2988,plain,
    ( spl0_166
    | ~ spl0_101
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2976,f936,f891,f685,f1641]) ).

fof(f1641,plain,
    ( spl0_166
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f685,plain,
    ( spl0_101
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f891,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2976,plain,
    ( c3_1(a25)
    | ~ spl0_101
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(resolution,[],[f2958,f687]) ).

fof(f687,plain,
    ( c1_1(a25)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f2958,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f892,f937]) ).

fof(f892,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f2957,plain,
    ( spl0_67
    | spl0_66
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2951,f936,f820,f510,f515]) ).

fof(f515,plain,
    ( spl0_67
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f510,plain,
    ( spl0_66
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2951,plain,
    ( c0_1(a22)
    | spl0_66
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(resolution,[],[f2818,f512]) ).

fof(f512,plain,
    ( ~ c3_1(a22)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f2956,plain,
    ( spl0_11
    | spl0_9
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2941,f936,f820,f225,f235]) ).

fof(f235,plain,
    ( spl0_11
  <=> c0_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f225,plain,
    ( spl0_9
  <=> c3_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2941,plain,
    ( c0_1(a92)
    | spl0_9
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(resolution,[],[f2818,f227]) ).

fof(f227,plain,
    ( ~ c3_1(a92)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f2954,plain,
    ( spl0_172
    | spl0_90
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2943,f936,f820,f630,f2805]) ).

fof(f630,plain,
    ( spl0_90
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2943,plain,
    ( c0_1(a43)
    | spl0_90
    | ~ spl0_126
    | ~ spl0_151 ),
    inference(resolution,[],[f2818,f632]) ).

fof(f632,plain,
    ( ~ c3_1(a43)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f2877,plain,
    ( spl0_62
    | spl0_70
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2876]) ).

fof(f2876,plain,
    ( $false
    | spl0_62
    | spl0_70
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2869,f532]) ).

fof(f532,plain,
    ( ~ c2_1(a36)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_70
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2869,plain,
    ( c2_1(a36)
    | spl0_62
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(resolution,[],[f2816,f492]) ).

fof(f492,plain,
    ( ~ c3_1(a36)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_62
  <=> c3_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2816,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f878,f944]) ).

fof(f944,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl0_153
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f878,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2875,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2874]) ).

fof(f2874,plain,
    ( $false
    | spl0_106
    | spl0_108
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2867,f722]) ).

fof(f722,plain,
    ( ~ c2_1(a12)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_108
  <=> c2_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2867,plain,
    ( c2_1(a12)
    | spl0_106
    | ~ spl0_139
    | ~ spl0_153 ),
    inference(resolution,[],[f2816,f712]) ).

fof(f712,plain,
    ( ~ c3_1(a12)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_106
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2856,plain,
    ( ~ spl0_75
    | ~ spl0_83
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2855]) ).

fof(f2855,plain,
    ( $false
    | ~ spl0_75
    | ~ spl0_83
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2840,f557]) ).

fof(f557,plain,
    ( c3_1(a5)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_75
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2840,plain,
    ( ~ c3_1(a5)
    | ~ spl0_83
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(resolution,[],[f2815,f597]) ).

fof(f597,plain,
    ( c2_1(a5)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl0_83
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2815,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f888,f850]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2850,plain,
    ( ~ spl0_45
    | ~ spl0_133
    | ~ spl0_141
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2849]) ).

fof(f2849,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_133
    | ~ spl0_141
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2834,f407]) ).

fof(f2834,plain,
    ( ~ c3_1(a58)
    | ~ spl0_133
    | ~ spl0_141
    | ~ spl0_158 ),
    inference(resolution,[],[f2815,f1131]) ).

fof(f1131,plain,
    ( c2_1(a58)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1129,plain,
    ( spl0_158
  <=> c2_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2814,plain,
    ( spl0_162
    | spl0_62
    | spl0_70
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2792,f943,f530,f490,f1224]) ).

fof(f1224,plain,
    ( spl0_162
  <=> c0_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2792,plain,
    ( c0_1(a36)
    | spl0_62
    | spl0_70
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2787,f532]) ).

fof(f2787,plain,
    ( c2_1(a36)
    | c0_1(a36)
    | spl0_62
    | ~ spl0_153 ),
    inference(resolution,[],[f944,f492]) ).

fof(f2801,plain,
    ( ~ spl0_169
    | spl0_68
    | ~ spl0_77
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2768,f849,f565,f520,f2014]) ).

fof(f2014,plain,
    ( spl0_169
  <=> c2_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f520,plain,
    ( spl0_68
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f565,plain,
    ( spl0_77
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2768,plain,
    ( c0_1(a4)
    | ~ c2_1(a4)
    | ~ spl0_77
    | ~ spl0_133 ),
    inference(resolution,[],[f850,f567]) ).

fof(f567,plain,
    ( c3_1(a4)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f2753,plain,
    ( spl0_158
    | spl0_42
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2745,f832,f425,f390,f1129]) ).

fof(f832,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2745,plain,
    ( c2_1(a58)
    | spl0_42
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2734,f392]) ).

fof(f2734,plain,
    ( c1_1(a58)
    | c2_1(a58)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f833,f427]) ).

fof(f833,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f2726,plain,
    ( spl0_157
    | ~ spl0_83
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2715,f881,f836,f595,f1067]) ).

fof(f1067,plain,
    ( spl0_157
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f836,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f881,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2715,plain,
    ( c0_1(a5)
    | ~ spl0_83
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(resolution,[],[f2688,f597]) ).

fof(f2688,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f882,f837]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f882,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f2687,plain,
    ( spl0_67
    | spl0_69
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2686]) ).

fof(f2686,plain,
    ( $false
    | spl0_67
    | spl0_69
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2677,f517]) ).

fof(f517,plain,
    ( ~ c0_1(a22)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f2677,plain,
    ( c0_1(a22)
    | spl0_69
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(resolution,[],[f2665,f527]) ).

fof(f527,plain,
    ( ~ c2_1(a22)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl0_69
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2665,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f944,f825]) ).

fof(f2679,plain,
    ( spl0_107
    | spl0_109
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | spl0_107
    | spl0_109
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2671,f717]) ).

fof(f717,plain,
    ( ~ c0_1(a9)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_107
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2671,plain,
    ( c0_1(a9)
    | spl0_109
    | ~ spl0_127
    | ~ spl0_153 ),
    inference(resolution,[],[f2665,f727]) ).

fof(f727,plain,
    ( ~ c2_1(a9)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_109
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2636,plain,
    ( spl0_8
    | ~ spl0_21
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2628,f936,f891,f285,f220]) ).

fof(f220,plain,
    ( spl0_8
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f285,plain,
    ( spl0_21
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2628,plain,
    ( c3_1(a11)
    | ~ spl0_21
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(resolution,[],[f2615,f287]) ).

fof(f287,plain,
    ( c1_1(a11)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f2615,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f892,f937]) ).

fof(f2633,plain,
    ( spl0_106
    | ~ spl0_117
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2632]) ).

fof(f2632,plain,
    ( $false
    | spl0_106
    | ~ spl0_117
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2627,f712]) ).

fof(f2627,plain,
    ( c3_1(a12)
    | ~ spl0_117
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(resolution,[],[f2615,f767]) ).

fof(f767,plain,
    ( c1_1(a12)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_117
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2608,plain,
    ( spl0_90
    | spl0_93
    | ~ spl0_98
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | spl0_90
    | spl0_93
    | ~ spl0_98
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2606,f632]) ).

fof(f2606,plain,
    ( c3_1(a43)
    | spl0_93
    | ~ spl0_98
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2594,f672]) ).

fof(f2594,plain,
    ( ~ c2_1(a43)
    | c3_1(a43)
    | spl0_93
    | ~ spl0_152 ),
    inference(resolution,[],[f940,f647]) ).

fof(f940,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_152
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2565,plain,
    ( ~ spl0_157
    | spl0_73
    | ~ spl0_83
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2564,f913,f595,f545,f1067]) ).

fof(f545,plain,
    ( spl0_73
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2564,plain,
    ( ~ c0_1(a5)
    | spl0_73
    | ~ spl0_83
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2535,f597]) ).

fof(f2535,plain,
    ( ~ c0_1(a5)
    | ~ c2_1(a5)
    | spl0_73
    | ~ spl0_148 ),
    inference(resolution,[],[f914,f547]) ).

fof(f547,plain,
    ( ~ c1_1(a5)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f2563,plain,
    ( ~ spl0_124
    | spl0_121
    | ~ spl0_122
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2559,f913,f790,f785,f800]) ).

fof(f800,plain,
    ( spl0_124
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f785,plain,
    ( spl0_121
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f790,plain,
    ( spl0_122
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2559,plain,
    ( ~ c2_1(a3)
    | spl0_121
    | ~ spl0_122
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2537,f792]) ).

fof(f792,plain,
    ( c0_1(a3)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f2537,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | spl0_121
    | ~ spl0_148 ),
    inference(resolution,[],[f914,f787]) ).

fof(f787,plain,
    ( ~ c1_1(a3)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2526,plain,
    ( spl0_32
    | spl0_37
    | ~ spl0_46
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2523,f824,f410,f365,f340]) ).

fof(f340,plain,
    ( spl0_32
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2523,plain,
    ( c0_1(a32)
    | spl0_37
    | ~ spl0_46
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2511,f367]) ).

fof(f2511,plain,
    ( c2_1(a32)
    | c0_1(a32)
    | ~ spl0_46
    | ~ spl0_127 ),
    inference(resolution,[],[f825,f412]) ).

fof(f2499,plain,
    ( ~ spl0_79
    | spl0_64
    | spl0_71
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2496,f877,f535,f500,f575]) ).

fof(f575,plain,
    ( spl0_79
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f500,plain,
    ( spl0_64
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f535,plain,
    ( spl0_71
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2496,plain,
    ( ~ c0_1(a8)
    | spl0_64
    | spl0_71
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2489,f537]) ).

fof(f537,plain,
    ( ~ c2_1(a8)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f2489,plain,
    ( c2_1(a8)
    | ~ c0_1(a8)
    | spl0_64
    | ~ spl0_139 ),
    inference(resolution,[],[f878,f502]) ).

fof(f502,plain,
    ( ~ c3_1(a8)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f2480,plain,
    ( spl0_63
    | ~ spl0_81
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2479]) ).

fof(f2479,plain,
    ( $false
    | spl0_63
    | ~ spl0_81
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2471,f587]) ).

fof(f587,plain,
    ( c0_1(a19)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f585,plain,
    ( spl0_81
  <=> c0_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2471,plain,
    ( ~ c0_1(a19)
    | spl0_63
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(resolution,[],[f2464,f497]) ).

fof(f497,plain,
    ( ~ c3_1(a19)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl0_63
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2464,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f878,f902]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2467,plain,
    ( spl0_169
    | spl0_74
    | ~ spl0_77
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2466,f917,f565,f550,f2014]) ).

fof(f550,plain,
    ( spl0_74
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2466,plain,
    ( c2_1(a4)
    | spl0_74
    | ~ spl0_77
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2408,f567]) ).

fof(f2408,plain,
    ( ~ c3_1(a4)
    | c2_1(a4)
    | spl0_74
    | ~ spl0_149 ),
    inference(resolution,[],[f918,f552]) ).

fof(f552,plain,
    ( ~ c1_1(a4)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f2460,plain,
    ( spl0_30
    | spl0_35
    | spl0_39
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2459,plain,
    ( $false
    | spl0_30
    | spl0_35
    | spl0_39
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2458,f357]) ).

fof(f357,plain,
    ( ~ c2_1(a26)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_35
  <=> c2_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2458,plain,
    ( c2_1(a26)
    | spl0_30
    | spl0_39
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2453,f332]) ).

fof(f332,plain,
    ( ~ c0_1(a26)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_30
  <=> c0_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2453,plain,
    ( c0_1(a26)
    | c2_1(a26)
    | spl0_39
    | ~ spl0_150 ),
    inference(resolution,[],[f931,f377]) ).

fof(f377,plain,
    ( ~ c1_1(a26)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_39
  <=> c1_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f931,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2457,plain,
    ( spl0_70
    | spl0_72
    | ~ spl0_150
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2456,plain,
    ( $false
    | spl0_70
    | spl0_72
    | ~ spl0_150
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2455,f532]) ).

fof(f2455,plain,
    ( c2_1(a36)
    | spl0_72
    | ~ spl0_150
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2452,f1225]) ).

fof(f1225,plain,
    ( ~ c0_1(a36)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f2452,plain,
    ( c0_1(a36)
    | c2_1(a36)
    | spl0_72
    | ~ spl0_150 ),
    inference(resolution,[],[f931,f542]) ).

fof(f542,plain,
    ( ~ c1_1(a36)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_72
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2390,plain,
    ( ~ spl0_76
    | ~ spl0_78
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2388,f562]) ).

fof(f562,plain,
    ( c3_1(a15)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_76
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2388,plain,
    ( ~ c3_1(a15)
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2364,f607]) ).

fof(f607,plain,
    ( c1_1(a15)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_85
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2364,plain,
    ( ~ c1_1(a15)
    | ~ c3_1(a15)
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f1768]) ).

fof(f1768,plain,
    ( c2_1(a15)
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1767,f572]) ).

fof(f572,plain,
    ( c0_1(a15)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_78
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1767,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_76
    | ~ spl0_136 ),
    inference(resolution,[],[f562,f863]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f910,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2387,plain,
    ( ~ spl0_100
    | ~ spl0_101
    | ~ spl0_147
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2386,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_147
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2385,f1643]) ).

fof(f1643,plain,
    ( c3_1(a25)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f2385,plain,
    ( ~ c3_1(a25)
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2363,f687]) ).

fof(f2363,plain,
    ( ~ c1_1(a25)
    | ~ c3_1(a25)
    | ~ spl0_100
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f682]) ).

fof(f682,plain,
    ( c2_1(a25)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_100
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2317,plain,
    ( ~ spl0_76
    | ~ spl0_85
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2316]) ).

fof(f2316,plain,
    ( $false
    | ~ spl0_76
    | ~ spl0_85
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2304,f562]) ).

fof(f2304,plain,
    ( ~ c3_1(a15)
    | ~ spl0_85
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(resolution,[],[f2297,f607]) ).

fof(f2297,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f910,f841]) ).

fof(f2292,plain,
    ( spl0_168
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2291,f901,f800,f790,f1691]) ).

fof(f1691,plain,
    ( spl0_168
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2291,plain,
    ( c3_1(a3)
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2284,f802]) ).

fof(f802,plain,
    ( c2_1(a3)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f2284,plain,
    ( c3_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_122
    | ~ spl0_145 ),
    inference(resolution,[],[f902,f792]) ).

fof(f2178,plain,
    ( spl0_164
    | ~ spl0_94
    | spl0_92
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2002,f828,f640,f650,f1308]) ).

fof(f1308,plain,
    ( spl0_164
  <=> c0_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f650,plain,
    ( spl0_94
  <=> c3_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f640,plain,
    ( spl0_92
  <=> c1_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f828,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2002,plain,
    ( ~ c3_1(a34)
    | c0_1(a34)
    | spl0_92
    | ~ spl0_128 ),
    inference(resolution,[],[f829,f642]) ).

fof(f642,plain,
    ( ~ c1_1(a34)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f829,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f2145,plain,
    ( spl0_62
    | spl0_70
    | spl0_72
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2144,f873,f540,f530,f490]) ).

fof(f873,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2144,plain,
    ( c3_1(a36)
    | spl0_70
    | spl0_72
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2135,f532]) ).

fof(f2135,plain,
    ( c3_1(a36)
    | c2_1(a36)
    | spl0_72
    | ~ spl0_138 ),
    inference(resolution,[],[f874,f542]) ).

fof(f874,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f2064,plain,
    ( spl0_166
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2063,f853,f685,f680,f1641]) ).

fof(f853,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2063,plain,
    ( c3_1(a25)
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2036,f682]) ).

fof(f2036,plain,
    ( c3_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(resolution,[],[f854,f687]) ).

fof(f854,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f2012,plain,
    ( spl0_68
    | spl0_74
    | ~ spl0_77
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2009,f828,f565,f550,f520]) ).

fof(f2009,plain,
    ( c0_1(a4)
    | spl0_74
    | ~ spl0_77
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2005,f567]) ).

fof(f2005,plain,
    ( ~ c3_1(a4)
    | c0_1(a4)
    | spl0_74
    | ~ spl0_128 ),
    inference(resolution,[],[f829,f552]) ).

fof(f1987,plain,
    ( spl0_40
    | ~ spl0_48
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | spl0_40
    | ~ spl0_48
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1973,f422]) ).

fof(f422,plain,
    ( c0_1(a52)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_48
  <=> c0_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1973,plain,
    ( ~ c0_1(a52)
    | spl0_40
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(resolution,[],[f1965,f382]) ).

fof(f382,plain,
    ( ~ c1_1(a52)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_40
  <=> c1_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1965,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f914,f1762]) ).

fof(f1762,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f878,f863]) ).

fof(f1968,plain,
    ( ~ spl0_162
    | spl0_70
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1967,f877,f862,f530,f1224]) ).

fof(f1967,plain,
    ( ~ c0_1(a36)
    | spl0_70
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(resolution,[],[f532,f1762]) ).

fof(f1961,plain,
    ( spl0_109
    | ~ spl0_127
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | spl0_109
    | ~ spl0_127
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_150 ),
    inference(resolution,[],[f1957,f727]) ).

fof(f1957,plain,
    ( ! [X1] : c2_1(X1)
    | ~ spl0_127
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1926,f1925]) ).

fof(f1925,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_136
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f931,f1762]) ).

fof(f1926,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_127
    | ~ spl0_136
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f899,f1701]) ).

fof(f1701,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f825,f863]) ).

fof(f899,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_144
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1937,plain,
    ( spl0_162
    | spl0_62
    | spl0_72
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1936,f820,f540,f490,f1224]) ).

fof(f1936,plain,
    ( c0_1(a36)
    | spl0_62
    | spl0_72
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1935,f492]) ).

fof(f1935,plain,
    ( c3_1(a36)
    | c0_1(a36)
    | spl0_72
    | ~ spl0_126 ),
    inference(resolution,[],[f542,f821]) ).

fof(f1858,plain,
    ( spl0_11
    | ~ spl0_20
    | ~ spl0_126
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1819,f836,f828,f820,f280,f235]) ).

fof(f280,plain,
    ( spl0_20
  <=> c2_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1819,plain,
    ( c0_1(a92)
    | ~ spl0_20
    | ~ spl0_126
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(resolution,[],[f1814,f282]) ).

fof(f282,plain,
    ( c2_1(a92)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f1814,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f837,f1804]) ).

fof(f1804,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f829,f821]) ).

fof(f1755,plain,
    ( spl0_90
    | ~ spl0_98
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | spl0_90
    | ~ spl0_98
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1743,f672]) ).

fof(f1743,plain,
    ( ~ c2_1(a43)
    | spl0_90
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(resolution,[],[f1699,f632]) ).

fof(f1699,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f846,f902]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1737,plain,
    ( ~ spl0_168
    | spl0_121
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1732,f917,f857,f785,f1691]) ).

fof(f857,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1732,plain,
    ( ~ c3_1(a3)
    | spl0_121
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(resolution,[],[f1698,f787]) ).

fof(f1698,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f858,f918]) ).

fof(f858,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1714,plain,
    ( spl0_65
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1713,f901,f590,f580,f505]) ).

fof(f505,plain,
    ( spl0_65
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f580,plain,
    ( spl0_80
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f590,plain,
    ( spl0_82
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1713,plain,
    ( c3_1(a6)
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1708,f592]) ).

fof(f592,plain,
    ( c2_1(a6)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1708,plain,
    ( c3_1(a6)
    | ~ c2_1(a6)
    | ~ spl0_80
    | ~ spl0_145 ),
    inference(resolution,[],[f582,f902]) ).

fof(f582,plain,
    ( c0_1(a6)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1707,plain,
    ( spl0_158
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1706,f862,f425,f405,f1129]) ).

fof(f1706,plain,
    ( c2_1(a58)
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1705,f427]) ).

fof(f1705,plain,
    ( c2_1(a58)
    | ~ c0_1(a58)
    | ~ spl0_45
    | ~ spl0_136 ),
    inference(resolution,[],[f407,f863]) ).

fof(f1703,plain,
    ( spl0_36
    | ~ spl0_163
    | spl0_40
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1510,f917,f380,f1291,f360]) ).

fof(f360,plain,
    ( spl0_36
  <=> c2_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1291,plain,
    ( spl0_163
  <=> c3_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1510,plain,
    ( ~ c3_1(a52)
    | c2_1(a52)
    | spl0_40
    | ~ spl0_149 ),
    inference(resolution,[],[f918,f382]) ).

fof(f1680,plain,
    ( spl0_67
    | spl0_69
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1679]) ).

fof(f1679,plain,
    ( $false
    | spl0_67
    | spl0_69
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1672,f517]) ).

fof(f1672,plain,
    ( c0_1(a22)
    | spl0_69
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(resolution,[],[f1658,f527]) ).

fof(f1658,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f931,f870]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1676,plain,
    ( spl0_32
    | spl0_37
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1675,plain,
    ( $false
    | spl0_32
    | spl0_37
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1663,f342]) ).

fof(f342,plain,
    ( ~ c0_1(a32)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1663,plain,
    ( c0_1(a32)
    | spl0_37
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(resolution,[],[f1658,f367]) ).

fof(f1644,plain,
    ( ~ spl0_100
    | spl0_166
    | ~ spl0_97
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1558,f901,f665,f1641,f680]) ).

fof(f665,plain,
    ( spl0_97
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1558,plain,
    ( c3_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_97
    | ~ spl0_145 ),
    inference(resolution,[],[f902,f667]) ).

fof(f667,plain,
    ( c0_1(a25)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1639,plain,
    ( spl0_62
    | spl0_72
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | spl0_62
    | spl0_72
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f1637,f492]) ).

fof(f1637,plain,
    ( c3_1(a36)
    | spl0_72
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f1628,f1226]) ).

fof(f1226,plain,
    ( c0_1(a36)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f1628,plain,
    ( ~ c0_1(a36)
    | c3_1(a36)
    | spl0_72
    | ~ spl0_146 ),
    inference(resolution,[],[f906,f542]) ).

fof(f906,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1632,plain,
    ( spl0_40
    | ~ spl0_48
    | ~ spl0_146
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | spl0_40
    | ~ spl0_48
    | ~ spl0_146
    | spl0_163 ),
    inference(subsumption_resolution,[],[f1630,f1292]) ).

fof(f1292,plain,
    ( ~ c3_1(a52)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1630,plain,
    ( c3_1(a52)
    | spl0_40
    | ~ spl0_48
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1621,f422]) ).

fof(f1621,plain,
    ( ~ c0_1(a52)
    | c3_1(a52)
    | spl0_40
    | ~ spl0_146 ),
    inference(resolution,[],[f906,f382]) ).

fof(f1616,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1615,plain,
    ( $false
    | spl0_106
    | spl0_108
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1614,f767]) ).

fof(f1614,plain,
    ( ~ c1_1(a12)
    | spl0_106
    | spl0_108
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1596,f712]) ).

fof(f1596,plain,
    ( c3_1(a12)
    | ~ c1_1(a12)
    | spl0_108
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_142 ),
    inference(resolution,[],[f892,f1436]) ).

fof(f1436,plain,
    ( c0_1(a12)
    | spl0_108
    | ~ spl0_117
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1425,f722]) ).

fof(f1425,plain,
    ( c2_1(a12)
    | c0_1(a12)
    | ~ spl0_117
    | ~ spl0_137 ),
    inference(resolution,[],[f870,f767]) ).

fof(f1613,plain,
    ( spl0_63
    | ~ spl0_81
    | ~ spl0_84
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | spl0_63
    | ~ spl0_81
    | ~ spl0_84
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1611,f602]) ).

fof(f602,plain,
    ( c1_1(a19)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_84
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1611,plain,
    ( ~ c1_1(a19)
    | spl0_63
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1595,f497]) ).

fof(f1595,plain,
    ( c3_1(a19)
    | ~ c1_1(a19)
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(resolution,[],[f892,f587]) ).

fof(f1585,plain,
    ( spl0_121
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | spl0_121
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1579,f792]) ).

fof(f1579,plain,
    ( ~ c0_1(a3)
    | spl0_121
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(resolution,[],[f1572,f787]) ).

fof(f1572,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f906,f895]) ).

fof(f1528,plain,
    ( spl0_91
    | spl0_92
    | ~ spl0_94
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1520,f917,f650,f640,f635]) ).

fof(f635,plain,
    ( spl0_91
  <=> c2_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1520,plain,
    ( c2_1(a34)
    | spl0_92
    | ~ spl0_94
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1512,f652]) ).

fof(f652,plain,
    ( c3_1(a34)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f1512,plain,
    ( ~ c3_1(a34)
    | c2_1(a34)
    | spl0_92
    | ~ spl0_149 ),
    inference(resolution,[],[f918,f642]) ).

fof(f1504,plain,
    ( ~ spl0_111
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1503]) ).

fof(f1503,plain,
    ( $false
    | ~ spl0_111
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1502,f737]) ).

fof(f737,plain,
    ( c3_1(a10)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_111
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1502,plain,
    ( ~ c3_1(a10)
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1495,f757]) ).

fof(f757,plain,
    ( c1_1(a10)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_115
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1495,plain,
    ( ~ c1_1(a10)
    | ~ c3_1(a10)
    | ~ spl0_114
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f752]) ).

fof(f752,plain,
    ( c2_1(a10)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_114
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1471,plain,
    ( ~ spl0_83
    | spl0_73
    | ~ spl0_140
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1470,f1067,f881,f545,f595]) ).

fof(f1470,plain,
    ( ~ c2_1(a5)
    | spl0_73
    | ~ spl0_140
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1372,f1069]) ).

fof(f1069,plain,
    ( ~ c0_1(a5)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1372,plain,
    ( ~ c2_1(a5)
    | c0_1(a5)
    | spl0_73
    | ~ spl0_140 ),
    inference(resolution,[],[f882,f547]) ).

fof(f1462,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1461,plain,
    ( $false
    | spl0_106
    | spl0_108
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1460,f712]) ).

fof(f1460,plain,
    ( c3_1(a12)
    | spl0_108
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1450,f722]) ).

fof(f1450,plain,
    ( c2_1(a12)
    | c3_1(a12)
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(resolution,[],[f899,f767]) ).

fof(f1456,plain,
    ( spl0_153
    | ~ spl0_126
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1455,f898,f820,f943]) ).

fof(f1455,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_144 ),
    inference(duplicate_literal_removal,[],[f1441]) ).

fof(f1441,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_144 ),
    inference(resolution,[],[f899,f821]) ).

fof(f1435,plain,
    ( spl0_34
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | spl0_34
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1433,f1003]) ).

fof(f1003,plain,
    ( ~ c0_1(a64)
    | spl0_34
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f996,f352]) ).

fof(f352,plain,
    ( ~ c2_1(a64)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_34
  <=> c2_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f996,plain,
    ( c2_1(a64)
    | ~ c0_1(a64)
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(resolution,[],[f863,f402]) ).

fof(f402,plain,
    ( c3_1(a64)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_44
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1433,plain,
    ( c0_1(a64)
    | spl0_34
    | ~ spl0_51
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1419,f352]) ).

fof(f1419,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ spl0_51
    | ~ spl0_137 ),
    inference(resolution,[],[f870,f437]) ).

fof(f437,plain,
    ( c1_1(a64)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl0_51
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1432,plain,
    ( spl0_153
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1430,f869,f820,f943]) ).

fof(f1430,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(duplicate_literal_removal,[],[f1415]) ).

fof(f1415,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(resolution,[],[f870,f821]) ).

fof(f1409,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_138
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | spl0_106
    | spl0_108
    | ~ spl0_138
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1401,f722]) ).

fof(f1401,plain,
    ( c2_1(a12)
    | spl0_106
    | ~ spl0_138
    | ~ spl0_144 ),
    inference(resolution,[],[f1392,f712]) ).

fof(f1392,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_138
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f899,f874]) ).

fof(f1391,plain,
    ( spl0_121
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1390]) ).

fof(f1390,plain,
    ( $false
    | spl0_121
    | ~ spl0_124
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1389,f802]) ).

fof(f1389,plain,
    ( ~ c2_1(a3)
    | spl0_121
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1385,f787]) ).

fof(f1385,plain,
    ( c1_1(a3)
    | ~ c2_1(a3)
    | spl0_121
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f1327,f858]) ).

fof(f1327,plain,
    ( c3_1(a3)
    | spl0_121
    | ~ spl0_126
    | ~ spl0_146 ),
    inference(resolution,[],[f1250,f787]) ).

fof(f1250,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f906,f821]) ).

fof(f1382,plain,
    ( ~ spl0_48
    | spl0_36
    | ~ spl0_136
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1381,f1291,f862,f360,f420]) ).

fof(f1381,plain,
    ( ~ c0_1(a52)
    | spl0_36
    | ~ spl0_136
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1379,f362]) ).

fof(f362,plain,
    ( ~ c2_1(a52)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1379,plain,
    ( c2_1(a52)
    | ~ c0_1(a52)
    | ~ spl0_136
    | ~ spl0_163 ),
    inference(resolution,[],[f1293,f863]) ).

fof(f1293,plain,
    ( c3_1(a52)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1369,plain,
    ( spl0_163
    | spl0_36
    | spl0_40
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1289,f873,f380,f360,f1291]) ).

fof(f1289,plain,
    ( c3_1(a52)
    | spl0_36
    | spl0_40
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1287,f362]) ).

fof(f1287,plain,
    ( c3_1(a52)
    | c2_1(a52)
    | spl0_40
    | ~ spl0_138 ),
    inference(resolution,[],[f382,f874]) ).

fof(f1368,plain,
    ( spl0_71
    | ~ spl0_79
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_71
    | ~ spl0_79
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1362,f537]) ).

fof(f1362,plain,
    ( c2_1(a8)
    | ~ spl0_79
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(resolution,[],[f1286,f577]) ).

fof(f577,plain,
    ( c0_1(a8)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1286,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f878,f863]) ).

fof(f1366,plain,
    ( spl0_38
    | ~ spl0_47
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | spl0_38
    | ~ spl0_47
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1360,f372]) ).

fof(f372,plain,
    ( ~ c2_1(a27)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_38
  <=> c2_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1360,plain,
    ( c2_1(a27)
    | ~ spl0_47
    | ~ spl0_136
    | ~ spl0_139 ),
    inference(resolution,[],[f1286,f417]) ).

fof(f417,plain,
    ( c0_1(a27)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_47
  <=> c0_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1334,plain,
    ( spl0_90
    | spl0_93
    | ~ spl0_126
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1333,plain,
    ( $false
    | spl0_90
    | spl0_93
    | ~ spl0_126
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1322,f632]) ).

fof(f1322,plain,
    ( c3_1(a43)
    | spl0_93
    | ~ spl0_126
    | ~ spl0_146 ),
    inference(resolution,[],[f1250,f647]) ).

fof(f1317,plain,
    ( ~ spl0_164
    | spl0_91
    | ~ spl0_94
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1316,f862,f650,f635,f1308]) ).

fof(f1316,plain,
    ( ~ c0_1(a34)
    | spl0_91
    | ~ spl0_94
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1314,f637]) ).

fof(f637,plain,
    ( ~ c2_1(a34)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1314,plain,
    ( c2_1(a34)
    | ~ c0_1(a34)
    | ~ spl0_94
    | ~ spl0_136 ),
    inference(resolution,[],[f652,f863]) ).

fof(f1222,plain,
    ( spl0_62
    | spl0_70
    | spl0_72
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1221]) ).

fof(f1221,plain,
    ( $false
    | spl0_62
    | spl0_70
    | spl0_72
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1220,f532]) ).

fof(f1220,plain,
    ( c2_1(a36)
    | spl0_62
    | spl0_72
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1219,f542]) ).

fof(f1219,plain,
    ( c1_1(a36)
    | c2_1(a36)
    | spl0_62
    | spl0_72
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f1085,f833]) ).

fof(f1085,plain,
    ( c0_1(a36)
    | spl0_62
    | spl0_72
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1078,f492]) ).

fof(f1078,plain,
    ( c3_1(a36)
    | c0_1(a36)
    | spl0_72
    | ~ spl0_126 ),
    inference(resolution,[],[f821,f542]) ).

fof(f1201,plain,
    ( spl0_31
    | ~ spl0_50
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1193,f849,f845,f430,f335]) ).

fof(f335,plain,
    ( spl0_31
  <=> c0_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f430,plain,
    ( spl0_50
  <=> c2_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1193,plain,
    ( c0_1(a31)
    | ~ spl0_50
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(resolution,[],[f1188,f432]) ).

fof(f432,plain,
    ( c2_1(a31)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1188,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f850,f846]) ).

fof(f1182,plain,
    ( spl0_13
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | spl0_13
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1180,f277]) ).

fof(f277,plain,
    ( c2_1(a42)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl0_19
  <=> c2_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1180,plain,
    ( ~ c2_1(a42)
    | spl0_13
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1179,f247]) ).

fof(f1179,plain,
    ( c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(resolution,[],[f1060,f837]) ).

fof(f1060,plain,
    ( c1_1(a42)
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1053,f277]) ).

fof(f1053,plain,
    ( c1_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_16
    | ~ spl0_135 ),
    inference(resolution,[],[f858,f262]) ).

fof(f262,plain,
    ( c3_1(a42)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_16
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1166,plain,
    ( ~ spl0_158
    | spl0_42
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1059,f857,f405,f390,f1129]) ).

fof(f1059,plain,
    ( ~ c2_1(a58)
    | spl0_42
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1052,f392]) ).

fof(f1052,plain,
    ( c1_1(a58)
    | ~ c2_1(a58)
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(resolution,[],[f858,f407]) ).

fof(f1082,plain,
    ( spl0_132
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1081,f836,f820,f845]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(duplicate_literal_removal,[],[f1071]) ).

fof(f1071,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(resolution,[],[f821,f837]) ).

fof(f1065,plain,
    ( ~ spl0_83
    | spl0_73
    | ~ spl0_75
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1061,f857,f555,f545,f595]) ).

fof(f1061,plain,
    ( ~ c2_1(a5)
    | spl0_73
    | ~ spl0_75
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1055,f547]) ).

fof(f1055,plain,
    ( c1_1(a5)
    | ~ c2_1(a5)
    | ~ spl0_75
    | ~ spl0_135 ),
    inference(resolution,[],[f858,f557]) ).

fof(f1040,plain,
    ( ~ spl0_19
    | spl0_13
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1039,f849,f260,f245,f275]) ).

fof(f1039,plain,
    ( ~ c2_1(a42)
    | spl0_13
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1038,f247]) ).

fof(f1038,plain,
    ( c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(resolution,[],[f262,f850]) ).

fof(f1036,plain,
    ( spl0_107
    | spl0_109
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1035]) ).

fof(f1035,plain,
    ( $false
    | spl0_107
    | spl0_109
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1034,f717]) ).

fof(f1034,plain,
    ( c0_1(a9)
    | spl0_109
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1030,f727]) ).

fof(f1030,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(resolution,[],[f870,f762]) ).

fof(f762,plain,
    ( c1_1(a9)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_116
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1007,plain,
    ( ~ spl0_113
    | spl0_110
    | ~ spl0_112
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1004,f862,f740,f730,f745]) ).

fof(f745,plain,
    ( spl0_113
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1004,plain,
    ( ~ c0_1(a2)
    | spl0_110
    | ~ spl0_112
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1001,f732]) ).

fof(f1001,plain,
    ( c2_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_112
    | ~ spl0_136 ),
    inference(resolution,[],[f863,f742]) ).

fof(f983,plain,
    ( spl0_120
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | spl0_120
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f981,f797]) ).

fof(f797,plain,
    ( c2_1(a1)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_123
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f981,plain,
    ( ~ c2_1(a1)
    | spl0_120
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f979,f782]) ).

fof(f782,plain,
    ( ~ c0_1(a1)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_120
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f979,plain,
    ( c0_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(resolution,[],[f837,f807]) ).

fof(f807,plain,
    ( c1_1(a1)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_125
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f961,plain,
    ( spl0_150
    | spl0_140
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f186,f905,f881,f930]) ).

fof(f186,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f178,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f960,plain,
    ( spl0_137
    | spl0_130
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f186,f905,f836,f869]) ).

fof(f180,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f959,plain,
    ( spl0_150
    | spl0_139
    | spl0_129
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f186,f832,f877,f930]) ).

fof(f179,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f958,plain,
    ( spl0_130
    | spl0_152
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f186,f862,f939,f836]) ).

fof(f181,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f957,plain,
    ( spl0_145
    | spl0_148
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f186,f849,f913,f901]) ).

fof(f182,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f945,plain,
    ( spl0_150
    | spl0_153
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f186,f770,f943,f930]) ).

fof(f770,plain,
    ( spl0_118
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f941,plain,
    ( spl0_151
    | spl0_152
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f186,f770,f939,f936]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f934,plain,
    ( spl0_150
    | spl0_139
    | spl0_119
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f186,f775,f877,f930]) ).

fof(f775,plain,
    ( spl0_119
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f933,plain,
    ( spl0_142
    | spl0_149
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f186,f770,f917,f891]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f932,plain,
    ( spl0_150
    | spl0_148
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f186,f705,f913,f930]) ).

fof(f705,plain,
    ( spl0_105
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f928,plain,
    ( spl0_146
    | spl0_127
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f186,f695,f824,f905]) ).

fof(f695,plain,
    ( spl0_103
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f927,plain,
    ( spl0_144
    | spl0_139
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f186,f620,f877,f898]) ).

fof(f620,plain,
    ( spl0_88
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f926,plain,
    ( spl0_146
    | spl0_141
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f186,f610,f887,f905]) ).

fof(f610,plain,
    ( spl0_86
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f925,plain,
    ( spl0_149
    | spl0_135
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f186,f620,f857,f917]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f923,plain,
    ( spl0_132
    | spl0_146
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f186,f485,f905,f845]) ).

fof(f485,plain,
    ( spl0_61
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f922,plain,
    ( spl0_148
    | spl0_139
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f186,f455,f877,f913]) ).

fof(f455,plain,
    ( spl0_55
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f921,plain,
    ( spl0_137
    | spl0_127
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f186,f470,f824,f869]) ).

fof(f470,plain,
    ( spl0_58
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f920,plain,
    ( spl0_126
    | spl0_136
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f186,f485,f862,f820]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f915,plain,
    ( spl0_148
    | spl0_133
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f186,f475,f849,f913]) ).

fof(f475,plain,
    ( spl0_59
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f911,plain,
    ( spl0_147
    | spl0_135
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f186,f460,f857,f909]) ).

fof(f460,plain,
    ( spl0_56
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f907,plain,
    ( spl0_138
    | spl0_146
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f186,f310,f905,f873]) ).

fof(f310,plain,
    ( spl0_26
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c0_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f903,plain,
    ( spl0_144
    | spl0_145
    | spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f186,f315,f901,f898]) ).

fof(f315,plain,
    ( spl0_27
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f896,plain,
    ( spl0_142
    | spl0_143
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f186,f305,f894,f891]) ).

fof(f305,plain,
    ( spl0_25
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f885,plain,
    ( spl0_135
    | spl0_118
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f186,f705,f770,f857]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f879,plain,
    ( spl0_139
    | spl0_119
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f186,f480,f775,f877]) ).

fof(f480,plain,
    ( spl0_60
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp2
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f875,plain,
    ( spl0_138
    | spl0_105
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f186,f460,f705,f873]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp1
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f871,plain,
    ( spl0_137
    | spl0_102
    | spl0_57
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f186,f465,f690,f869]) ).

fof(f690,plain,
    ( spl0_102
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f465,plain,
    ( spl0_57
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp27
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f867,plain,
    ( spl0_129
    | spl0_105
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f186,f455,f705,f832]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp1
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f866,plain,
    ( spl0_128
    | spl0_104
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f186,f470,f700,f828]) ).

fof(f700,plain,
    ( spl0_104
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp7
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f864,plain,
    ( spl0_136
    | spl0_88
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f186,f460,f620,f862]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp22
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f859,plain,
    ( spl0_135
    | spl0_119
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f186,f325,f775,f857]) ).

fof(f325,plain,
    ( spl0_29
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp2
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f855,plain,
    ( spl0_134
    | spl0_102
    | spl0_28
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f186,f320,f690,f853]) ).

fof(f320,plain,
    ( spl0_28
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp27
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f847,plain,
    ( spl0_132
    | spl0_86
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f186,f290,f610,f845]) ).

fof(f290,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp29
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f842,plain,
    ( spl0_131
    | spl0_87
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f186,f290,f615,f840]) ).

fof(f615,plain,
    ( spl0_87
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp18
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f838,plain,
    ( spl0_130
    | spl0_60
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f186,f300,f480,f836]) ).

fof(f300,plain,
    ( spl0_24
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp4
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f834,plain,
    ( spl0_129
    | spl0_118
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f186,f200,f770,f832]) ).

fof(f200,plain,
    ( spl0_4
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp0
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f830,plain,
    ( spl0_128
    | spl0_102
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f186,f190,f690,f828]) ).

fof(f190,plain,
    ( spl0_2
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp27
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f822,plain,
    ( spl0_126
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f186,f480,f820]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f816,plain,
    ( spl0_105
    | spl0_103
    | spl0_57 ),
    inference(avatar_split_clause,[],[f33,f465,f695,f705]) ).

fof(f33,axiom,
    ( hskp28
    | hskp9
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f815,plain,
    ( spl0_104
    | spl0_103
    | spl0_57 ),
    inference(avatar_split_clause,[],[f34,f465,f695,f700]) ).

fof(f34,axiom,
    ( hskp28
    | hskp9
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f813,plain,
    ( spl0_104
    | spl0_54
    | spl0_23 ),
    inference(avatar_split_clause,[],[f36,f295,f450,f700]) ).

fof(f450,plain,
    ( spl0_54
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f295,plain,
    ( spl0_23
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f36,axiom,
    ( hskp20
    | hskp11
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f812,plain,
    ( spl0_119
    | spl0_27
    | spl0_29 ),
    inference(avatar_split_clause,[],[f40,f325,f315,f775]) ).

fof(f40,axiom,
    ( hskp23
    | hskp24
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f810,plain,
    ( spl0_104
    | spl0_87
    | spl0_5 ),
    inference(avatar_split_clause,[],[f41,f205,f615,f700]) ).

fof(f205,plain,
    ( spl0_5
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f41,axiom,
    ( hskp26
    | hskp18
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f809,plain,
    ( spl0_88
    | spl0_54 ),
    inference(avatar_split_clause,[],[f1,f450,f620]) ).

fof(f1,axiom,
    ( hskp11
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f808,plain,
    ( spl0_125
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f87,f770,f805]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f803,plain,
    ( spl0_124
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f84,f775,f800]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f798,plain,
    ( spl0_123
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f88,f770,f795]) ).

fof(f88,axiom,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f793,plain,
    ( spl0_122
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f83,f775,f790]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c0_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f788,plain,
    ( ~ spl0_121
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f132,f775,f785]) ).

fof(f132,axiom,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f783,plain,
    ( ~ spl0_120
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f134,f770,f780]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f768,plain,
    ( spl0_117
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f73,f695,f765]) ).

fof(f73,axiom,
    ( ~ hskp9
    | c1_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f763,plain,
    ( spl0_116
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f76,f700,f760]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c1_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f758,plain,
    ( spl0_115
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f51,f690,f755]) ).

fof(f51,axiom,
    ( ~ hskp27
    | c1_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f753,plain,
    ( spl0_114
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f52,f690,f750]) ).

fof(f52,axiom,
    ( ~ hskp27
    | c2_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f748,plain,
    ( spl0_113
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f85,f705,f745]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f743,plain,
    ( spl0_112
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f86,f705,f740]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c3_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f738,plain,
    ( spl0_111
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f53,f690,f735]) ).

fof(f53,axiom,
    ( ~ hskp27
    | c3_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f733,plain,
    ( ~ spl0_110
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f133,f705,f730]) ).

fof(f133,axiom,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f728,plain,
    ( ~ spl0_109
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f125,f700,f725]) ).

fof(f125,axiom,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f723,plain,
    ( ~ spl0_108
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f121,f695,f720]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f718,plain,
    ( ~ spl0_107
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f124,f700,f715]) ).

fof(f124,axiom,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f713,plain,
    ( ~ spl0_106
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f122,f695,f710]) ).

fof(f122,axiom,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f708,plain,
    ( spl0_1
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f31,f705,f186]) ).

fof(f31,axiom,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f698,plain,
    ( spl0_1
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f23,f695,f186]) ).

fof(f23,axiom,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f688,plain,
    ( spl0_101
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f46,f610,f685]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c1_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f683,plain,
    ( spl0_100
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f47,f610,f680]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c2_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f673,plain,
    ( spl0_98
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f60,f620,f670]) ).

fof(f60,axiom,
    ( ~ hskp22
    | c2_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f668,plain,
    ( spl0_97
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f45,f610,f665]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c0_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f653,plain,
    ( spl0_94
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f65,f615,f650]) ).

fof(f65,axiom,
    ( ~ hskp18
    | c3_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f648,plain,
    ( ~ spl0_93
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f95,f620,f645]) ).

fof(f95,axiom,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f643,plain,
    ( ~ spl0_92
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f102,f615,f640]) ).

fof(f102,axiom,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f638,plain,
    ( ~ spl0_91
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f103,f615,f635]) ).

fof(f103,axiom,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f633,plain,
    ( ~ spl0_90
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f96,f620,f630]) ).

fof(f96,axiom,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f608,plain,
    ( spl0_85
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f49,f465,f605]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c1_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f603,plain,
    ( spl0_84
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f72,f450,f600]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c1_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f598,plain,
    ( spl0_83
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f80,f480,f595]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c2_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f593,plain,
    ( spl0_82
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f79,f475,f590]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c2_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f588,plain,
    ( spl0_81
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f71,f450,f585]) ).

fof(f71,axiom,
    ( ~ hskp11
    | c0_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f583,plain,
    ( spl0_80
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f78,f475,f580]) ).

fof(f78,axiom,
    ( ~ hskp5
    | c0_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f578,plain,
    ( spl0_79
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f77,f470,f575]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f573,plain,
    ( spl0_78
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f48,f465,f570]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f568,plain,
    ( spl0_77
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f82,f485,f565]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f563,plain,
    ( spl0_76
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f50,f465,f560]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c3_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f558,plain,
    ( spl0_75
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f81,f480,f555]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c3_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f553,plain,
    ( ~ spl0_74
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f131,f485,f550]) ).

fof(f131,axiom,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f548,plain,
    ( ~ spl0_73
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f129,f480,f545]) ).

fof(f129,axiom,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f543,plain,
    ( ~ spl0_72
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f99,f460,f540]) ).

fof(f99,axiom,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f538,plain,
    ( ~ spl0_71
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f126,f470,f535]) ).

fof(f126,axiom,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f533,plain,
    ( ~ spl0_70
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f100,f460,f530]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f528,plain,
    ( ~ spl0_69
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f113,f455,f525]) ).

fof(f113,axiom,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f523,plain,
    ( ~ spl0_68
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f130,f485,f520]) ).

fof(f130,axiom,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f518,plain,
    ( ~ spl0_67
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f112,f455,f515]) ).

fof(f112,axiom,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f513,plain,
    ( ~ spl0_66
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f114,f455,f510]) ).

fof(f114,axiom,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f508,plain,
    ( ~ spl0_65
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f128,f475,f505]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f503,plain,
    ( ~ spl0_64
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f127,f470,f500]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f498,plain,
    ( ~ spl0_63
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f117,f450,f495]) ).

fof(f117,axiom,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f493,plain,
    ( ~ spl0_62
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f101,f460,f490]) ).

fof(f101,axiom,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f468,plain,
    ( spl0_1
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f4,f465,f186]) ).

fof(f4,axiom,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f438,plain,
    ( spl0_51
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f55,f320,f435]) ).

fof(f55,axiom,
    ( ~ hskp25
    | c1_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f433,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f67,f305,f430]) ).

fof(f67,axiom,
    ( ~ hskp16
    | c2_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f428,plain,
    ( spl0_49
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f57,f315,f425]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c0_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f423,plain,
    ( spl0_48
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f59,f325,f420]) ).

fof(f59,axiom,
    ( ~ hskp23
    | c0_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f418,plain,
    ( spl0_47
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f68,f300,f415]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c0_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f413,plain,
    ( spl0_46
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f66,f310,f410]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c3_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f408,plain,
    ( spl0_45
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f58,f315,f405]) ).

fof(f58,axiom,
    ( ~ hskp24
    | c3_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f403,plain,
    ( spl0_44
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f56,f320,f400]) ).

fof(f56,axiom,
    ( ~ hskp25
    | c3_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f393,plain,
    ( ~ spl0_42
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f92,f315,f390]) ).

fof(f92,axiom,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f383,plain,
    ( ~ spl0_40
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f93,f325,f380]) ).

fof(f93,axiom,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f378,plain,
    ( ~ spl0_39
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f110,f290,f375]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f373,plain,
    ( ~ spl0_38
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f108,f300,f370]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f368,plain,
    ( ~ spl0_37
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f105,f310,f365]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f363,plain,
    ( ~ spl0_36
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f325,f360]) ).

fof(f94,axiom,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f358,plain,
    ( ~ spl0_35
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f111,f290,f355]) ).

fof(f111,axiom,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f353,plain,
    ( ~ spl0_34
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f91,f320,f350]) ).

fof(f91,axiom,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f348,plain,
    ( ~ spl0_33
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f98,f295,f345]) ).

fof(f98,axiom,
    ( ~ hskp20
    | ~ c0_1(a38) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f343,plain,
    ( ~ spl0_32
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f104,f310,f340]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f338,plain,
    ( ~ spl0_31
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f106,f305,f335]) ).

fof(f106,axiom,
    ( ~ hskp16
    | ~ c0_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f333,plain,
    ( ~ spl0_30
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f109,f290,f330]) ).

fof(f109,axiom,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f288,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f74,f190,f285]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c1_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f283,plain,
    ( spl0_20
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f54,f205,f280]) ).

fof(f54,axiom,
    ( ~ hskp26
    | c2_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f278,plain,
    ( spl0_19
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f61,f200,f275]) ).

fof(f61,axiom,
    ( ~ hskp21
    | c2_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f263,plain,
    ( spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f62,f200,f260]) ).

fof(f62,axiom,
    ( ~ hskp21
    | c3_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f248,plain,
    ( ~ spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f97,f200,f245]) ).

fof(f97,axiom,
    ( ~ hskp21
    | ~ c0_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f238,plain,
    ( ~ spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f89,f205,f235]) ).

fof(f89,axiom,
    ( ~ hskp26
    | ~ c0_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f228,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f90,f205,f225]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c3_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f223,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f123,f190,f220]) ).

fof(f123,axiom,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN443-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 01:45:29 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (1329)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (1334)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36  % (1330)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.37  % (1331)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37  % (1332)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)
% 0.19/0.37  % (1335)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.37  % (1336)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)
% 0.19/0.37  % (1333)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.37  Detected minimum model sizes of [1]
% 0.19/0.37  Detected maximum model sizes of [31]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  Detected minimum model sizes of [1]
% 0.19/0.37  Detected maximum model sizes of [31]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  Detected minimum model sizes of [1]
% 0.19/0.37  Detected maximum model sizes of [31]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  Detected minimum model sizes of [1]
% 0.19/0.37  Detected maximum model sizes of [31]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [2]
% 0.19/0.38  TRYING [3]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [4]
% 0.19/0.39  TRYING [5]
% 0.19/0.39  TRYING [5]
% 0.19/0.39  TRYING [5]
% 0.19/0.39  TRYING [5]
% 0.19/0.40  % (1335)First to succeed.
% 0.19/0.41  % (1335)Refutation found. Thanks to Tanya!
% 0.19/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42  % (1335)------------------------------
% 0.19/0.42  % (1335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.42  % (1335)Termination reason: Refutation
% 0.19/0.42  
% 0.19/0.42  % (1335)Memory used [KB]: 1756
% 0.19/0.42  % (1335)Time elapsed: 0.046 s
% 0.19/0.42  % (1335)Instructions burned: 76 (million)
% 0.19/0.42  % (1335)------------------------------
% 0.19/0.42  % (1335)------------------------------
% 0.19/0.42  % (1329)Success in time 0.067 s
%------------------------------------------------------------------------------