TSTP Solution File: SYN436-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN436-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:14 EDT 2024

% Result   : Unsatisfiable 0.23s 0.46s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  257
% Syntax   : Number of formulae    :  800 (   1 unt;   0 def)
%            Number of atoms       : 2693 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3328 (1435   ~;1748   |;   0   &)
%                                         ( 145 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  177 ( 176 usr; 173 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  145 ( 145   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4428,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f246,f256,f261,f266,f271,f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f341,f346,f351,f356,f361,f366,f371,f376,f381,f386,f391,f401,f406,f411,f416,f421,f426,f436,f451,f471,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f581,f591,f596,f601,f606,f611,f616,f621,f626,f636,f641,f646,f651,f656,f661,f666,f671,f676,f686,f696,f706,f711,f716,f717,f718,f719,f720,f721,f725,f729,f733,f741,f745,f753,f757,f761,f762,f766,f767,f772,f776,f777,f778,f785,f789,f793,f797,f804,f808,f812,f816,f820,f831,f835,f836,f837,f845,f846,f854,f861,f880,f889,f894,f908,f923,f971,f980,f1046,f1077,f1121,f1140,f1162,f1168,f1211,f1228,f1250,f1312,f1340,f1348,f1350,f1359,f1363,f1405,f1418,f1441,f1450,f1520,f1523,f1531,f1542,f1609,f1642,f1801,f1844,f1860,f1952,f1959,f2222,f2403,f2629,f2637,f2640,f2648,f2652,f2782,f2789,f2791,f2823,f2862,f2868,f2888,f2891,f2954,f2968,f3024,f3127,f3156,f3167,f3195,f3196,f3254,f3337,f3338,f3343,f3436,f3480,f3682,f3684,f3698,f3785,f3786,f3788,f3827,f3848,f3883,f3888,f3917,f3952,f3962,f3986,f3990,f4070,f4093,f4152,f4169,f4256,f4257,f4259,f4262,f4292,f4324,f4427]) ).

fof(f4427,plain,
    ( spl0_34
    | ~ spl0_48
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f4426]) ).

fof(f4426,plain,
    ( $false
    | spl0_34
    | ~ spl0_48
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f4425,f390]) ).

fof(f390,plain,
    ( c1_1(a7)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_48
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f4425,plain,
    ( ~ c1_1(a7)
    | spl0_34
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f4422,f320]) ).

fof(f320,plain,
    ( ~ c0_1(a7)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl0_34
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f4422,plain,
    ( c0_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(resolution,[],[f1689,f752]) ).

fof(f752,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_121
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1689,plain,
    ( c2_1(a7)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f1687,plain,
    ( spl0_161
  <=> c2_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f4324,plain,
    ( spl0_163
    | spl0_27
    | ~ spl0_47
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f4250,f723,f383,f283,f2038]) ).

fof(f2038,plain,
    ( spl0_163
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f283,plain,
    ( spl0_27
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f383,plain,
    ( spl0_47
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f723,plain,
    ( spl0_114
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f4250,plain,
    ( c3_1(a2)
    | c1_1(a2)
    | ~ spl0_47
    | ~ spl0_114 ),
    inference(resolution,[],[f724,f385]) ).

fof(f385,plain,
    ( c2_1(a2)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f724,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f4292,plain,
    ( spl0_155
    | ~ spl0_77
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4289,f780,f751,f533,f1370]) ).

fof(f1370,plain,
    ( spl0_155
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f533,plain,
    ( spl0_77
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f780,plain,
    ( spl0_127
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f4289,plain,
    ( c0_1(a4)
    | ~ spl0_77
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(resolution,[],[f4263,f535]) ).

fof(f535,plain,
    ( c1_1(a4)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f4263,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f781,f752]) ).

fof(f781,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f4262,plain,
    ( ~ spl0_163
    | spl0_35
    | ~ spl0_47
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3982,f751,f383,f323,f2038]) ).

fof(f323,plain,
    ( spl0_35
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3982,plain,
    ( c0_1(a2)
    | ~ c1_1(a2)
    | ~ spl0_47
    | ~ spl0_121 ),
    inference(resolution,[],[f752,f385]) ).

fof(f4259,plain,
    ( spl0_166
    | spl0_19
    | ~ spl0_44
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f4258,f723,f368,f243,f2919]) ).

fof(f2919,plain,
    ( spl0_166
  <=> c3_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f243,plain,
    ( spl0_19
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f368,plain,
    ( spl0_44
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f4258,plain,
    ( c3_1(a24)
    | spl0_19
    | ~ spl0_44
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f4249,f245]) ).

fof(f245,plain,
    ( ~ c1_1(a24)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f4249,plain,
    ( c3_1(a24)
    | c1_1(a24)
    | ~ spl0_44
    | ~ spl0_114 ),
    inference(resolution,[],[f724,f370]) ).

fof(f370,plain,
    ( c2_1(a24)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f4257,plain,
    ( spl0_126
    | ~ spl0_114
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f4252,f842,f723,f774]) ).

fof(f774,plain,
    ( spl0_126
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f842,plain,
    ( spl0_143
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f4252,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_114
    | ~ spl0_143 ),
    inference(duplicate_literal_removal,[],[f4244]) ).

fof(f4244,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_114
    | ~ spl0_143 ),
    inference(resolution,[],[f724,f843]) ).

fof(f843,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f4256,plain,
    ( spl0_126
    | ~ spl0_114
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f4254,f799,f723,f774]) ).

fof(f799,plain,
    ( spl0_132
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f4254,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_114
    | ~ spl0_132 ),
    inference(duplicate_literal_removal,[],[f4242]) ).

fof(f4242,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_114
    | ~ spl0_132 ),
    inference(resolution,[],[f724,f800]) ).

fof(f800,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f4169,plain,
    ( spl0_73
    | spl0_66
    | spl0_71
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f4168,f842,f503,f478,f513]) ).

fof(f513,plain,
    ( spl0_73
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f478,plain,
    ( spl0_66
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f503,plain,
    ( spl0_71
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f4168,plain,
    ( c0_1(a22)
    | spl0_66
    | spl0_71
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f4166,f505]) ).

fof(f505,plain,
    ( ~ c3_1(a22)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f4166,plain,
    ( c0_1(a22)
    | c3_1(a22)
    | spl0_66
    | ~ spl0_143 ),
    inference(resolution,[],[f480,f843]) ).

fof(f480,plain,
    ( ~ c2_1(a22)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f4152,plain,
    ( ~ spl0_51
    | spl0_28
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f4139,f833,f814,f288,f403]) ).

fof(f403,plain,
    ( spl0_51
  <=> c1_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f288,plain,
    ( spl0_28
  <=> c3_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f814,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f833,plain,
    ( spl0_141
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f4139,plain,
    ( ~ c1_1(a37)
    | spl0_28
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(resolution,[],[f4132,f290]) ).

fof(f290,plain,
    ( ~ c3_1(a37)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f4132,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f834,f815]) ).

fof(f815,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f834,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f4093,plain,
    ( ~ spl0_95
    | spl0_153
    | ~ spl0_93
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3974,f751,f613,f1356,f623]) ).

fof(f623,plain,
    ( spl0_95
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1356,plain,
    ( spl0_153
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f613,plain,
    ( spl0_93
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3974,plain,
    ( c0_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_93
    | ~ spl0_121 ),
    inference(resolution,[],[f752,f615]) ).

fof(f615,plain,
    ( c2_1(a3)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f4070,plain,
    ( spl0_151
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4069,f806,f658,f653,f1278]) ).

fof(f1278,plain,
    ( spl0_151
  <=> c1_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f653,plain,
    ( spl0_101
  <=> c3_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f658,plain,
    ( spl0_102
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f806,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f4069,plain,
    ( c1_1(a14)
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f4064,f660]) ).

fof(f660,plain,
    ( c0_1(a14)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f4064,plain,
    ( c1_1(a14)
    | ~ c0_1(a14)
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(resolution,[],[f807,f655]) ).

fof(f655,plain,
    ( c3_1(a14)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f807,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f3990,plain,
    ( ~ spl0_144
    | spl0_38
    | ~ spl0_45
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3989,f751,f373,f338,f897]) ).

fof(f897,plain,
    ( spl0_144
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f338,plain,
    ( spl0_38
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f373,plain,
    ( spl0_45
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3989,plain,
    ( ~ c1_1(a33)
    | spl0_38
    | ~ spl0_45
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3975,f340]) ).

fof(f340,plain,
    ( ~ c0_1(a33)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f3975,plain,
    ( c0_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_45
    | ~ spl0_121 ),
    inference(resolution,[],[f752,f375]) ).

fof(f375,plain,
    ( c2_1(a33)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f3986,plain,
    ( spl0_141
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3985,f842,f751,f833]) ).

fof(f3985,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(duplicate_literal_removal,[],[f3972]) ).

fof(f3972,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(resolution,[],[f752,f843]) ).

fof(f3962,plain,
    ( ~ spl0_74
    | ~ spl0_80
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3961]) ).

fof(f3961,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_80
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3954,f550]) ).

fof(f550,plain,
    ( c0_1(a9)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_80
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f3954,plain,
    ( ~ c0_1(a9)
    | ~ spl0_74
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(resolution,[],[f3930,f520]) ).

fof(f520,plain,
    ( c2_1(a9)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl0_74
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3930,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f744,f771]) ).

fof(f771,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f744,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl0_119
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3952,plain,
    ( ~ spl0_153
    | ~ spl0_93
    | ~ spl0_100
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3951,f770,f648,f613,f1356]) ).

fof(f648,plain,
    ( spl0_100
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3951,plain,
    ( ~ c0_1(a3)
    | ~ spl0_93
    | ~ spl0_100
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3950,f615]) ).

fof(f3950,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_100
    | ~ spl0_125 ),
    inference(resolution,[],[f650,f771]) ).

fof(f650,plain,
    ( c3_1(a3)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f3917,plain,
    ( spl0_19
    | spl0_42
    | ~ spl0_126
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3916]) ).

fof(f3916,plain,
    ( $false
    | spl0_19
    | spl0_42
    | ~ spl0_126
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3915,f245]) ).

fof(f3915,plain,
    ( c1_1(a24)
    | spl0_42
    | ~ spl0_126
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3914,f360]) ).

fof(f360,plain,
    ( ~ c0_1(a24)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_42
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3914,plain,
    ( c0_1(a24)
    | c1_1(a24)
    | ~ spl0_126
    | spl0_166 ),
    inference(resolution,[],[f2920,f775]) ).

fof(f775,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f2920,plain,
    ( ~ c3_1(a24)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f2919]) ).

fof(f3888,plain,
    ( spl0_66
    | spl0_71
    | ~ spl0_140
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3885,f1324,f829,f503,f478]) ).

fof(f829,plain,
    ( spl0_140
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1324,plain,
    ( spl0_152
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3885,plain,
    ( c2_1(a22)
    | spl0_71
    | ~ spl0_140
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3868,f505]) ).

fof(f3868,plain,
    ( c3_1(a22)
    | c2_1(a22)
    | ~ spl0_140
    | ~ spl0_152 ),
    inference(resolution,[],[f830,f1326]) ).

fof(f1326,plain,
    ( c1_1(a22)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f830,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f3883,plain,
    ( spl0_88
    | spl0_92
    | ~ spl0_140
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3882]) ).

fof(f3882,plain,
    ( $false
    | spl0_88
    | spl0_92
    | ~ spl0_140
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3881,f590]) ).

fof(f590,plain,
    ( ~ c2_1(a16)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl0_88
  <=> c2_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3881,plain,
    ( c2_1(a16)
    | spl0_92
    | ~ spl0_140
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3860,f610]) ).

fof(f610,plain,
    ( ~ c3_1(a16)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f608,plain,
    ( spl0_92
  <=> c3_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3860,plain,
    ( c3_1(a16)
    | c2_1(a16)
    | ~ spl0_140
    | ~ spl0_149 ),
    inference(resolution,[],[f830,f1257]) ).

fof(f1257,plain,
    ( c1_1(a16)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1255,plain,
    ( spl0_149
  <=> c1_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3848,plain,
    ( spl0_65
    | spl0_72
    | ~ spl0_78
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3847]) ).

fof(f3847,plain,
    ( $false
    | spl0_65
    | spl0_72
    | ~ spl0_78
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3846,f475]) ).

fof(f475,plain,
    ( ~ c2_1(a1)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl0_65
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3846,plain,
    ( c2_1(a1)
    | spl0_72
    | ~ spl0_78
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3818,f510]) ).

fof(f510,plain,
    ( ~ c0_1(a1)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl0_72
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3818,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ spl0_78
    | ~ spl0_138 ),
    inference(resolution,[],[f823,f540]) ).

fof(f540,plain,
    ( c3_1(a1)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl0_78
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f823,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_138
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3827,plain,
    ( spl0_41
    | ~ spl0_53
    | ~ spl0_138
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3826]) ).

fof(f3826,plain,
    ( $false
    | spl0_41
    | ~ spl0_53
    | ~ spl0_138
    | spl0_164 ),
    inference(subsumption_resolution,[],[f3825,f2275]) ).

fof(f2275,plain,
    ( ~ c2_1(a53)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f2273]) ).

fof(f2273,plain,
    ( spl0_164
  <=> c2_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3825,plain,
    ( c2_1(a53)
    | spl0_41
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3808,f355]) ).

fof(f355,plain,
    ( ~ c0_1(a53)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_41
  <=> c0_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3808,plain,
    ( c0_1(a53)
    | c2_1(a53)
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(resolution,[],[f823,f415]) ).

fof(f415,plain,
    ( c3_1(a53)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_53
  <=> c3_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3788,plain,
    ( spl0_144
    | ~ spl0_45
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3787,f787,f423,f373,f897]) ).

fof(f423,plain,
    ( spl0_55
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f787,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3787,plain,
    ( c1_1(a33)
    | ~ spl0_45
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f3777,f425]) ).

fof(f425,plain,
    ( c3_1(a33)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f3777,plain,
    ( c1_1(a33)
    | ~ c3_1(a33)
    | ~ spl0_45
    | ~ spl0_129 ),
    inference(resolution,[],[f788,f375]) ).

fof(f788,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f3786,plain,
    ( ~ spl0_158
    | ~ spl0_104
    | ~ spl0_99
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3761,f770,f643,f668,f1613]) ).

fof(f1613,plain,
    ( spl0_158
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f668,plain,
    ( spl0_104
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f643,plain,
    ( spl0_99
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3761,plain,
    ( ~ c0_1(a11)
    | ~ c2_1(a11)
    | ~ spl0_99
    | ~ spl0_125 ),
    inference(resolution,[],[f771,f645]) ).

fof(f645,plain,
    ( c3_1(a11)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f3785,plain,
    ( ~ spl0_166
    | spl0_19
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3784,f787,f368,f243,f2919]) ).

fof(f3784,plain,
    ( ~ c3_1(a24)
    | spl0_19
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f3779,f245]) ).

fof(f3779,plain,
    ( c1_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f788,f370]) ).

fof(f3698,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_81
    | ~ spl0_118
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3697]) ).

fof(f3697,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_81
    | ~ spl0_118
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3693,f490]) ).

fof(f490,plain,
    ( ~ c1_1(a15)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_68
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3693,plain,
    ( c1_1(a15)
    | spl0_64
    | ~ spl0_81
    | ~ spl0_118
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f3685,f3617]) ).

fof(f3617,plain,
    ( ~ c3_1(a15)
    | spl0_64
    | ~ spl0_81
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f3592,f555]) ).

fof(f555,plain,
    ( c0_1(a15)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl0_81
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3592,plain,
    ( ~ c3_1(a15)
    | ~ c0_1(a15)
    | spl0_64
    | ~ spl0_118 ),
    inference(resolution,[],[f740,f470]) ).

fof(f470,plain,
    ( ~ c2_1(a15)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_64
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f740,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl0_118
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3685,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f811,f775]) ).

fof(f811,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f810,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3684,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | ~ spl0_118
    | spl0_158 ),
    inference(avatar_split_clause,[],[f3683,f1613,f739,f668,f643]) ).

fof(f3683,plain,
    ( ~ c3_1(a11)
    | ~ spl0_104
    | ~ spl0_118
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3578,f670]) ).

fof(f670,plain,
    ( c0_1(a11)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f3578,plain,
    ( ~ c3_1(a11)
    | ~ c0_1(a11)
    | ~ spl0_118
    | spl0_158 ),
    inference(resolution,[],[f740,f1614]) ).

fof(f1614,plain,
    ( ~ c2_1(a11)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f3682,plain,
    ( spl0_38
    | ~ spl0_45
    | ~ spl0_115
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3681]) ).

fof(f3681,plain,
    ( $false
    | spl0_38
    | ~ spl0_45
    | ~ spl0_115
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3679,f340]) ).

fof(f3679,plain,
    ( c0_1(a33)
    | ~ spl0_45
    | ~ spl0_115
    | ~ spl0_121 ),
    inference(resolution,[],[f3676,f375]) ).

fof(f3676,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_115
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f752,f728]) ).

fof(f728,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_115
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3480,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_126
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3479]) ).

fof(f3479,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_126
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3472,f490]) ).

fof(f3472,plain,
    ( c1_1(a15)
    | spl0_64
    | ~ spl0_126
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(resolution,[],[f3462,f470]) ).

fof(f3462,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_126
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f792,f3407]) ).

fof(f3407,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f811,f775]) ).

fof(f792,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl0_130
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3436,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3425,f810,f774,f313,f258]) ).

fof(f258,plain,
    ( spl0_22
  <=> c1_1(a45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f313,plain,
    ( spl0_33
  <=> c3_1(a45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3425,plain,
    ( c1_1(a45)
    | spl0_33
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f3407,f315]) ).

fof(f315,plain,
    ( ~ c3_1(a45)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f3343,plain,
    ( ~ spl0_48
    | spl0_161
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f3098,f764,f418,f1687,f388]) ).

fof(f418,plain,
    ( spl0_54
  <=> c3_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f764,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3098,plain,
    ( c2_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(resolution,[],[f765,f420]) ).

fof(f420,plain,
    ( c3_1(a7)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f765,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f3338,plain,
    ( spl0_34
    | ~ spl0_117
    | ~ spl0_123
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f3301,f1687,f759,f735,f318]) ).

fof(f735,plain,
    ( spl0_117
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f759,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3301,plain,
    ( c0_1(a7)
    | ~ spl0_117
    | ~ spl0_123
    | ~ spl0_161 ),
    inference(resolution,[],[f1689,f3115]) ).

fof(f3115,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_117
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f736,f760]) ).

fof(f760,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f736,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f3337,plain,
    ( spl0_107
    | ~ spl0_109
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f3336]) ).

fof(f3336,plain,
    ( $false
    | spl0_107
    | ~ spl0_109
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3329,f685]) ).

fof(f685,plain,
    ( ~ c2_1(a8)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl0_107
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3329,plain,
    ( c2_1(a8)
    | ~ spl0_109
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(resolution,[],[f3232,f695]) ).

fof(f695,plain,
    ( c0_1(a8)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl0_109
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3232,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(resolution,[],[f3231,f3114]) ).

fof(f3114,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f792,f765]) ).

fof(f3231,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f748,f3116]) ).

fof(f3116,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_114
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f724,f784]) ).

fof(f784,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f748,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl0_120
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3254,plain,
    ( spl0_69
    | ~ spl0_79
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3253]) ).

fof(f3253,plain,
    ( $false
    | spl0_69
    | ~ spl0_79
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3241,f545]) ).

fof(f545,plain,
    ( c0_1(a18)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl0_79
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3241,plain,
    ( ~ c0_1(a18)
    | spl0_69
    | ~ spl0_114
    | ~ spl0_120
    | ~ spl0_128 ),
    inference(resolution,[],[f3231,f495]) ).

fof(f495,plain,
    ( ~ c3_1(a18)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_69
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3196,plain,
    ( ~ spl0_151
    | spl0_89
    | ~ spl0_101
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f3097,f764,f653,f593,f1278]) ).

fof(f593,plain,
    ( spl0_89
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3097,plain,
    ( c2_1(a14)
    | ~ c1_1(a14)
    | ~ spl0_101
    | ~ spl0_124 ),
    inference(resolution,[],[f765,f655]) ).

fof(f3195,plain,
    ( spl0_89
    | ~ spl0_101
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3181,f791,f764,f653,f593]) ).

fof(f3181,plain,
    ( c2_1(a14)
    | ~ spl0_101
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(resolution,[],[f3114,f655]) ).

fof(f3167,plain,
    ( spl0_91
    | ~ spl0_94
    | ~ spl0_115
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3166]) ).

fof(f3166,plain,
    ( $false
    | spl0_91
    | ~ spl0_94
    | ~ spl0_115
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3160,f605]) ).

fof(f605,plain,
    ( ~ c1_1(a31)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl0_91
  <=> c1_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3160,plain,
    ( c1_1(a31)
    | ~ spl0_94
    | ~ spl0_115
    | ~ spl0_133 ),
    inference(resolution,[],[f3113,f620]) ).

fof(f620,plain,
    ( c2_1(a31)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f618,plain,
    ( spl0_94
  <=> c2_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3113,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_115
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f803,f728]) ).

fof(f803,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3156,plain,
    ( spl0_40
    | spl0_21
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3147,f818,f774,f253,f348]) ).

fof(f348,plain,
    ( spl0_40
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f253,plain,
    ( spl0_21
  <=> c1_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f818,plain,
    ( spl0_137
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3147,plain,
    ( c0_1(a32)
    | spl0_21
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(resolution,[],[f3112,f255]) ).

fof(f255,plain,
    ( ~ c1_1(a32)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f3112,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f819,f775]) ).

fof(f819,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f3127,plain,
    ( spl0_152
    | spl0_71
    | spl0_73
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f3126,f774,f513,f503,f1324]) ).

fof(f3126,plain,
    ( c1_1(a22)
    | spl0_71
    | spl0_73
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f3125,f515]) ).

fof(f515,plain,
    ( ~ c0_1(a22)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f3125,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | spl0_71
    | ~ spl0_126 ),
    inference(resolution,[],[f505,f775]) ).

fof(f3024,plain,
    ( spl0_28
    | spl0_39
    | ~ spl0_123
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3023]) ).

fof(f3023,plain,
    ( $false
    | spl0_28
    | spl0_39
    | ~ spl0_123
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3011,f345]) ).

fof(f345,plain,
    ( ~ c0_1(a37)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl0_39
  <=> c0_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f3011,plain,
    ( c0_1(a37)
    | spl0_28
    | ~ spl0_123
    | ~ spl0_143 ),
    inference(resolution,[],[f3002,f290]) ).

fof(f3002,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_123
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f843,f760]) ).

fof(f2968,plain,
    ( spl0_26
    | ~ spl0_53
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2967]) ).

fof(f2967,plain,
    ( $false
    | spl0_26
    | ~ spl0_53
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2966,f415]) ).

fof(f2966,plain,
    ( ~ c3_1(a53)
    | spl0_26
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2960,f280]) ).

fof(f280,plain,
    ( ~ c1_1(a53)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_26
  <=> c1_1(a53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2960,plain,
    ( c1_1(a53)
    | ~ c3_1(a53)
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(resolution,[],[f2274,f788]) ).

fof(f2274,plain,
    ( c2_1(a53)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f2273]) ).

fof(f2954,plain,
    ( spl0_28
    | spl0_39
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2953]) ).

fof(f2953,plain,
    ( $false
    | spl0_28
    | spl0_39
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2941,f345]) ).

fof(f2941,plain,
    ( c0_1(a37)
    | spl0_28
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(resolution,[],[f2933,f290]) ).

fof(f2933,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f834,f775]) ).

fof(f2891,plain,
    ( ~ spl0_50
    | ~ spl0_57
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2890]) ).

fof(f2890,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_57
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2889,f400]) ).

fof(f400,plain,
    ( c1_1(a25)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_50
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2889,plain,
    ( ~ c1_1(a25)
    | ~ spl0_57
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2883,f435]) ).

fof(f435,plain,
    ( c0_1(a25)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f433,plain,
    ( spl0_57
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2883,plain,
    ( ~ c0_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(resolution,[],[f1622,f756]) ).

fof(f756,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1622,plain,
    ( c2_1(a25)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1620]) ).

fof(f1620,plain,
    ( spl0_159
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2888,plain,
    ( spl0_32
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2887]) ).

fof(f2887,plain,
    ( $false
    | spl0_32
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2886,f400]) ).

fof(f2886,plain,
    ( ~ c1_1(a25)
    | spl0_32
    | ~ spl0_128
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2881,f310]) ).

fof(f310,plain,
    ( ~ c3_1(a25)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_32
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2881,plain,
    ( c3_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_128
    | ~ spl0_159 ),
    inference(resolution,[],[f1622,f784]) ).

fof(f2868,plain,
    ( spl0_92
    | ~ spl0_105
    | ~ spl0_136
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2867]) ).

fof(f2867,plain,
    ( $false
    | spl0_92
    | ~ spl0_105
    | ~ spl0_136
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2866,f675]) ).

fof(f675,plain,
    ( c0_1(a16)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f673,plain,
    ( spl0_105
  <=> c0_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2866,plain,
    ( ~ c0_1(a16)
    | spl0_92
    | ~ spl0_136
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2850,f610]) ).

fof(f2850,plain,
    ( c3_1(a16)
    | ~ c0_1(a16)
    | ~ spl0_136
    | ~ spl0_149 ),
    inference(resolution,[],[f815,f1257]) ).

fof(f2862,plain,
    ( spl0_32
    | ~ spl0_50
    | ~ spl0_57
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2861]) ).

fof(f2861,plain,
    ( $false
    | spl0_32
    | ~ spl0_50
    | ~ spl0_57
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2860,f435]) ).

fof(f2860,plain,
    ( ~ c0_1(a25)
    | spl0_32
    | ~ spl0_50
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2848,f310]) ).

fof(f2848,plain,
    ( c3_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_50
    | ~ spl0_136 ),
    inference(resolution,[],[f815,f400]) ).

fof(f2823,plain,
    ( spl0_65
    | spl0_72
    | ~ spl0_132
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2822]) ).

fof(f2822,plain,
    ( $false
    | spl0_65
    | spl0_72
    | ~ spl0_132
    | spl0_157 ),
    inference(subsumption_resolution,[],[f2821,f1541]) ).

fof(f1541,plain,
    ( ~ c1_1(a1)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1539,plain,
    ( spl0_157
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2821,plain,
    ( c1_1(a1)
    | spl0_65
    | spl0_72
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2812,f510]) ).

fof(f2812,plain,
    ( c0_1(a1)
    | c1_1(a1)
    | spl0_65
    | ~ spl0_132 ),
    inference(resolution,[],[f800,f475]) ).

fof(f2791,plain,
    ( ~ spl0_112
    | spl0_147
    | ~ spl0_111
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2713,f787,f703,f947,f708]) ).

fof(f708,plain,
    ( spl0_112
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f947,plain,
    ( spl0_147
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f703,plain,
    ( spl0_111
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2713,plain,
    ( c1_1(a10)
    | ~ c3_1(a10)
    | ~ spl0_111
    | ~ spl0_129 ),
    inference(resolution,[],[f788,f705]) ).

fof(f705,plain,
    ( c2_1(a10)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f2789,plain,
    ( spl0_27
    | spl0_35
    | ~ spl0_47
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2662,f759,f383,f323,f283]) ).

fof(f2662,plain,
    ( c0_1(a2)
    | c3_1(a2)
    | ~ spl0_47
    | ~ spl0_123 ),
    inference(resolution,[],[f760,f385]) ).

fof(f2782,plain,
    ( spl0_150
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2781,f795,f638,f633,f1260]) ).

fof(f1260,plain,
    ( spl0_150
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f633,plain,
    ( spl0_97
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f638,plain,
    ( spl0_98
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f795,plain,
    ( spl0_131
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2781,plain,
    ( c0_1(a6)
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2772,f635]) ).

fof(f635,plain,
    ( c1_1(a6)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f2772,plain,
    ( c0_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_98
    | ~ spl0_131 ),
    inference(resolution,[],[f796,f640]) ).

fof(f640,plain,
    ( c3_1(a6)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f796,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f2652,plain,
    ( ~ spl0_46
    | ~ spl0_52
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2651]) ).

fof(f2651,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2643,f410]) ).

fof(f410,plain,
    ( c3_1(a42)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl0_52
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2643,plain,
    ( ~ c3_1(a42)
    | ~ spl0_46
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(resolution,[],[f2630,f380]) ).

fof(f380,plain,
    ( c2_1(a42)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_46
  <=> c2_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2630,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f788,f1376]) ).

fof(f1376,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f752,f756]) ).

fof(f2648,plain,
    ( ~ spl0_112
    | ~ spl0_111
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2641,f787,f755,f751,f703,f708]) ).

fof(f2641,plain,
    ( ~ c3_1(a10)
    | ~ spl0_111
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(resolution,[],[f2630,f705]) ).

fof(f2640,plain,
    ( spl0_149
    | spl0_92
    | ~ spl0_105
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2639,f810,f673,f608,f1255]) ).

fof(f2639,plain,
    ( c1_1(a16)
    | spl0_92
    | ~ spl0_105
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2638,f610]) ).

fof(f2638,plain,
    ( c3_1(a16)
    | c1_1(a16)
    | ~ spl0_105
    | ~ spl0_135 ),
    inference(resolution,[],[f675,f811]) ).

fof(f2637,plain,
    ( spl0_148
    | spl0_91
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2636,f810,f663,f603,f973]) ).

fof(f973,plain,
    ( spl0_148
  <=> c3_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f663,plain,
    ( spl0_103
  <=> c0_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2636,plain,
    ( c3_1(a31)
    | spl0_91
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2635,f605]) ).

fof(f2635,plain,
    ( c3_1(a31)
    | c1_1(a31)
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(resolution,[],[f665,f811]) ).

fof(f665,plain,
    ( c0_1(a31)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f2629,plain,
    ( ~ spl0_147
    | ~ spl0_113
    | ~ spl0_111
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2550,f755,f703,f713,f947]) ).

fof(f713,plain,
    ( spl0_113
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2550,plain,
    ( ~ c0_1(a10)
    | ~ c1_1(a10)
    | ~ spl0_111
    | ~ spl0_122 ),
    inference(resolution,[],[f705,f756]) ).

fof(f2403,plain,
    ( ~ spl0_94
    | ~ spl0_103
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2402]) ).

fof(f2402,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_103
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2394,f665]) ).

fof(f2394,plain,
    ( ~ c0_1(a31)
    | ~ spl0_94
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(resolution,[],[f2381,f620]) ).

fof(f2381,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f744,f771]) ).

fof(f2222,plain,
    ( ~ spl0_113
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2221,f770,f708,f703,f713]) ).

fof(f2221,plain,
    ( ~ c0_1(a10)
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2211,f705]) ).

fof(f2211,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_112
    | ~ spl0_125 ),
    inference(resolution,[],[f771,f710]) ).

fof(f710,plain,
    ( c3_1(a10)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f1959,plain,
    ( spl0_23
    | spl0_31
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | spl0_23
    | spl0_31
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1956,f265]) ).

fof(f265,plain,
    ( ~ c1_1(a19)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl0_23
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1956,plain,
    ( c1_1(a19)
    | spl0_31
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f305,f1627]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f811,f775]) ).

fof(f305,plain,
    ( ~ c3_1(a19)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl0_31
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1952,plain,
    ( spl0_88
    | spl0_149
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1548,f731,f673,f1255,f588]) ).

fof(f731,plain,
    ( spl0_116
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1548,plain,
    ( c1_1(a16)
    | c2_1(a16)
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(resolution,[],[f675,f732]) ).

fof(f732,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f1860,plain,
    ( spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1859]) ).

fof(f1859,plain,
    ( $false
    | spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1857,f685]) ).

fof(f1857,plain,
    ( c2_1(a8)
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(resolution,[],[f1845,f695]) ).

fof(f1845,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f740,f748]) ).

fof(f1844,plain,
    ( spl0_159
    | spl0_32
    | ~ spl0_57
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1843,f747,f433,f308,f1620]) ).

fof(f1843,plain,
    ( c2_1(a25)
    | spl0_32
    | ~ spl0_57
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1841,f310]) ).

fof(f1841,plain,
    ( c3_1(a25)
    | c2_1(a25)
    | ~ spl0_57
    | ~ spl0_120 ),
    inference(resolution,[],[f435,f748]) ).

fof(f1801,plain,
    ( spl0_67
    | spl0_70
    | ~ spl0_120
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | spl0_67
    | spl0_70
    | ~ spl0_120
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1799,f485]) ).

fof(f485,plain,
    ( ~ c2_1(a4)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl0_67
  <=> c2_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1799,plain,
    ( c2_1(a4)
    | spl0_70
    | ~ spl0_120
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1787,f500]) ).

fof(f500,plain,
    ( ~ c3_1(a4)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl0_70
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1787,plain,
    ( c3_1(a4)
    | c2_1(a4)
    | ~ spl0_120
    | ~ spl0_155 ),
    inference(resolution,[],[f748,f1372]) ).

fof(f1372,plain,
    ( c0_1(a4)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1642,plain,
    ( ~ spl0_76
    | ~ spl0_74
    | ~ spl0_80
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1641,f755,f548,f518,f528]) ).

fof(f528,plain,
    ( spl0_76
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1641,plain,
    ( ~ c1_1(a9)
    | ~ spl0_74
    | ~ spl0_80
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1639,f550]) ).

fof(f1639,plain,
    ( ~ c0_1(a9)
    | ~ c1_1(a9)
    | ~ spl0_74
    | ~ spl0_122 ),
    inference(resolution,[],[f520,f756]) ).

fof(f1609,plain,
    ( spl0_89
    | spl0_151
    | ~ spl0_102
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1482,f731,f658,f1278,f593]) ).

fof(f1482,plain,
    ( c1_1(a14)
    | c2_1(a14)
    | ~ spl0_102
    | ~ spl0_116 ),
    inference(resolution,[],[f732,f660]) ).

fof(f1542,plain,
    ( ~ spl0_157
    | spl0_72
    | ~ spl0_78
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1147,f795,f538,f508,f1539]) ).

fof(f1147,plain,
    ( c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_78
    | ~ spl0_131 ),
    inference(resolution,[],[f540,f796]) ).

fof(f1531,plain,
    ( spl0_16
    | spl0_24
    | spl0_29
    | ~ spl0_116
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1530,plain,
    ( $false
    | spl0_16
    | spl0_24
    | spl0_29
    | ~ spl0_116
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1529,f230]) ).

fof(f230,plain,
    ( ~ c2_1(a5)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_16
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1529,plain,
    ( c2_1(a5)
    | spl0_24
    | spl0_29
    | ~ spl0_116
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1528,f270]) ).

fof(f270,plain,
    ( ~ c1_1(a5)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl0_24
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1528,plain,
    ( c1_1(a5)
    | c2_1(a5)
    | spl0_24
    | spl0_29
    | ~ spl0_116
    | ~ spl0_126 ),
    inference(resolution,[],[f1378,f732]) ).

fof(f1378,plain,
    ( c0_1(a5)
    | spl0_24
    | spl0_29
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1377,f270]) ).

fof(f1377,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | spl0_29
    | ~ spl0_126 ),
    inference(resolution,[],[f295,f775]) ).

fof(f295,plain,
    ( ~ c3_1(a5)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl0_29
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1523,plain,
    ( ~ spl0_150
    | spl0_90
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1522,f739,f638,f598,f1260]) ).

fof(f598,plain,
    ( spl0_90
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1522,plain,
    ( ~ c0_1(a6)
    | spl0_90
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1509,f640]) ).

fof(f1509,plain,
    ( ~ c3_1(a6)
    | ~ c0_1(a6)
    | spl0_90
    | ~ spl0_118 ),
    inference(resolution,[],[f740,f600]) ).

fof(f600,plain,
    ( ~ c2_1(a6)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f1520,plain,
    ( spl0_89
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | spl0_89
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1518,f660]) ).

fof(f1518,plain,
    ( ~ c0_1(a14)
    | spl0_89
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1507,f655]) ).

fof(f1507,plain,
    ( ~ c3_1(a14)
    | ~ c0_1(a14)
    | spl0_89
    | ~ spl0_118 ),
    inference(resolution,[],[f740,f595]) ).

fof(f595,plain,
    ( ~ c2_1(a14)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1450,plain,
    ( spl0_73
    | spl0_71
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1414,f833,f774,f503,f513]) ).

fof(f1414,plain,
    ( c0_1(a22)
    | spl0_71
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(resolution,[],[f1375,f505]) ).

fof(f1375,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f834,f775]) ).

fof(f1441,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | spl0_24
    | spl0_29
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1437,f270]) ).

fof(f1437,plain,
    ( c1_1(a5)
    | spl0_29
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f1406,f295]) ).

fof(f1406,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f811,f775]) ).

fof(f1418,plain,
    ( spl0_155
    | spl0_70
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1412,f833,f774,f498,f1370]) ).

fof(f1412,plain,
    ( c0_1(a4)
    | spl0_70
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(resolution,[],[f1375,f500]) ).

fof(f1405,plain,
    ( spl0_21
    | spl0_40
    | spl0_30
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1026,f774,f298,f348,f253]) ).

fof(f298,plain,
    ( spl0_30
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1026,plain,
    ( c0_1(a32)
    | c1_1(a32)
    | spl0_30
    | ~ spl0_126 ),
    inference(resolution,[],[f775,f300]) ).

fof(f300,plain,
    ( ~ c3_1(a32)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1363,plain,
    ( spl0_153
    | ~ spl0_95
    | ~ spl0_100
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1362,f795,f648,f623,f1356]) ).

fof(f1362,plain,
    ( c0_1(a3)
    | ~ spl0_95
    | ~ spl0_100
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1361,f625]) ).

fof(f625,plain,
    ( c1_1(a3)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f1361,plain,
    ( c0_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_100
    | ~ spl0_131 ),
    inference(resolution,[],[f650,f796]) ).

fof(f1359,plain,
    ( ~ spl0_95
    | ~ spl0_153
    | ~ spl0_93
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1352,f755,f613,f1356,f623]) ).

fof(f1352,plain,
    ( ~ c0_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_93
    | ~ spl0_122 ),
    inference(resolution,[],[f615,f756]) ).

fof(f1350,plain,
    ( spl0_72
    | ~ spl0_78
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1349,f818,f795,f774,f538,f508]) ).

fof(f1349,plain,
    ( c0_1(a1)
    | ~ spl0_78
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1147,f1313]) ).

fof(f1313,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f819,f775]) ).

fof(f1348,plain,
    ( spl0_42
    | spl0_19
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1333,f818,f774,f243,f358]) ).

fof(f1333,plain,
    ( c0_1(a24)
    | spl0_19
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(resolution,[],[f1313,f245]) ).

fof(f1340,plain,
    ( spl0_26
    | spl0_41
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | spl0_26
    | spl0_41
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1329,f355]) ).

fof(f1329,plain,
    ( c0_1(a53)
    | spl0_26
    | ~ spl0_126
    | ~ spl0_137 ),
    inference(resolution,[],[f1313,f280]) ).

fof(f1312,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1310,f470]) ).

fof(f1310,plain,
    ( c2_1(a15)
    | spl0_68
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1309,f490]) ).

fof(f1309,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(resolution,[],[f555,f732]) ).

fof(f1250,plain,
    ( spl0_88
    | spl0_92
    | ~ spl0_105
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1249]) ).

fof(f1249,plain,
    ( $false
    | spl0_88
    | spl0_92
    | ~ spl0_105
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1248,f590]) ).

fof(f1248,plain,
    ( c2_1(a16)
    | spl0_88
    | spl0_92
    | ~ spl0_105
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1239,f610]) ).

fof(f1239,plain,
    ( c3_1(a16)
    | c2_1(a16)
    | spl0_88
    | ~ spl0_105
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(resolution,[],[f830,f1187]) ).

fof(f1187,plain,
    ( c1_1(a16)
    | spl0_88
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1180,f590]) ).

fof(f1180,plain,
    ( c1_1(a16)
    | c2_1(a16)
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(resolution,[],[f732,f675]) ).

fof(f1228,plain,
    ( ~ spl0_94
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1227,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1218,f974]) ).

fof(f974,plain,
    ( c3_1(a31)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f1218,plain,
    ( ~ c3_1(a31)
    | ~ spl0_94
    | ~ spl0_117
    | ~ spl0_125 ),
    inference(resolution,[],[f1212,f620]) ).

fof(f1212,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_117
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f771,f736]) ).

fof(f1211,plain,
    ( spl0_67
    | spl0_70
    | ~ spl0_77
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1210,plain,
    ( $false
    | spl0_67
    | spl0_70
    | ~ spl0_77
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1209,f485]) ).

fof(f1209,plain,
    ( c2_1(a4)
    | spl0_70
    | ~ spl0_77
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1204,f500]) ).

fof(f1204,plain,
    ( c3_1(a4)
    | c2_1(a4)
    | ~ spl0_77
    | ~ spl0_140 ),
    inference(resolution,[],[f830,f535]) ).

fof(f1168,plain,
    ( spl0_91
    | ~ spl0_103
    | ~ spl0_134
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1167,plain,
    ( $false
    | spl0_91
    | ~ spl0_103
    | ~ spl0_134
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1166,f665]) ).

fof(f1166,plain,
    ( ~ c0_1(a31)
    | spl0_91
    | ~ spl0_134
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1154,f605]) ).

fof(f1154,plain,
    ( c1_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_134
    | ~ spl0_148 ),
    inference(resolution,[],[f807,f974]) ).

fof(f1162,plain,
    ( ~ spl0_112
    | ~ spl0_113
    | ~ spl0_134
    | spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_134
    | spl0_147 ),
    inference(subsumption_resolution,[],[f1160,f715]) ).

fof(f715,plain,
    ( c0_1(a10)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1160,plain,
    ( ~ c0_1(a10)
    | ~ spl0_112
    | ~ spl0_134
    | spl0_147 ),
    inference(subsumption_resolution,[],[f1151,f948]) ).

fof(f948,plain,
    ( ~ c1_1(a10)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f1151,plain,
    ( c1_1(a10)
    | ~ c0_1(a10)
    | ~ spl0_112
    | ~ spl0_134 ),
    inference(resolution,[],[f807,f710]) ).

fof(f1140,plain,
    ( ~ spl0_111
    | ~ spl0_113
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1139]) ).

fof(f1139,plain,
    ( $false
    | ~ spl0_111
    | ~ spl0_113
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1131,f715]) ).

fof(f1131,plain,
    ( ~ c0_1(a10)
    | ~ spl0_111
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(resolution,[],[f1126,f705]) ).

fof(f1126,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f803,f756]) ).

fof(f1121,plain,
    ( spl0_26
    | spl0_41
    | ~ spl0_115
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | spl0_26
    | spl0_41
    | ~ spl0_115
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1112,f355]) ).

fof(f1112,plain,
    ( c0_1(a53)
    | spl0_26
    | ~ spl0_115
    | ~ spl0_132 ),
    inference(resolution,[],[f1105,f280]) ).

fof(f1105,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_115
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f800,f728]) ).

fof(f1077,plain,
    ( spl0_66
    | spl0_71
    | spl0_73
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | spl0_66
    | spl0_71
    | spl0_73
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1075,f480]) ).

fof(f1075,plain,
    ( c2_1(a22)
    | spl0_71
    | spl0_73
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1074,f515]) ).

fof(f1074,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | spl0_71
    | spl0_73
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(resolution,[],[f1032,f781]) ).

fof(f1032,plain,
    ( c1_1(a22)
    | spl0_71
    | spl0_73
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1027,f515]) ).

fof(f1027,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | spl0_71
    | ~ spl0_126 ),
    inference(resolution,[],[f775,f505]) ).

fof(f1046,plain,
    ( spl0_34
    | ~ spl0_48
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | spl0_34
    | ~ spl0_48
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1044,f390]) ).

fof(f1044,plain,
    ( ~ c1_1(a7)
    | spl0_34
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1041,f320]) ).

fof(f1041,plain,
    ( c0_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(resolution,[],[f796,f420]) ).

fof(f980,plain,
    ( spl0_148
    | spl0_91
    | ~ spl0_94
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f979,f723,f618,f603,f973]) ).

fof(f979,plain,
    ( c3_1(a31)
    | spl0_91
    | ~ spl0_94
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f969,f605]) ).

fof(f969,plain,
    ( c3_1(a31)
    | c1_1(a31)
    | ~ spl0_94
    | ~ spl0_114 ),
    inference(resolution,[],[f620,f724]) ).

fof(f971,plain,
    ( spl0_91
    | ~ spl0_94
    | ~ spl0_114
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f970]) ).

fof(f970,plain,
    ( $false
    | spl0_91
    | ~ spl0_94
    | ~ spl0_114
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f966,f605]) ).

fof(f966,plain,
    ( c1_1(a31)
    | ~ spl0_94
    | ~ spl0_114
    | ~ spl0_129 ),
    inference(resolution,[],[f620,f929]) ).

fof(f929,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_114
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f788,f724]) ).

fof(f923,plain,
    ( spl0_90
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f922]) ).

fof(f922,plain,
    ( $false
    | spl0_90
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f921,f635]) ).

fof(f921,plain,
    ( ~ c1_1(a6)
    | spl0_90
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f918,f600]) ).

fof(f918,plain,
    ( c2_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(resolution,[],[f765,f640]) ).

fof(f908,plain,
    ( spl0_69
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f907]) ).

fof(f907,plain,
    ( $false
    | spl0_69
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f906,f545]) ).

fof(f906,plain,
    ( ~ c0_1(a18)
    | spl0_69
    | ~ spl0_75
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f904,f495]) ).

fof(f904,plain,
    ( c3_1(a18)
    | ~ c0_1(a18)
    | ~ spl0_75
    | ~ spl0_119 ),
    inference(resolution,[],[f744,f525]) ).

fof(f525,plain,
    ( c2_1(a18)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl0_75
  <=> c2_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f894,plain,
    ( ~ spl0_55
    | spl0_38
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f893,f735,f373,f338,f423]) ).

fof(f893,plain,
    ( ~ c3_1(a33)
    | spl0_38
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f890,f340]) ).

fof(f890,plain,
    ( c0_1(a33)
    | ~ c3_1(a33)
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f375,f736]) ).

fof(f889,plain,
    ( spl0_69
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_114
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f888]) ).

fof(f888,plain,
    ( $false
    | spl0_69
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_114
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f887,f855]) ).

fof(f855,plain,
    ( c1_1(a18)
    | spl0_69
    | ~ spl0_75
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f850,f495]) ).

fof(f850,plain,
    ( c3_1(a18)
    | c1_1(a18)
    | ~ spl0_75
    | ~ spl0_114 ),
    inference(resolution,[],[f724,f525]) ).

fof(f887,plain,
    ( ~ c1_1(a18)
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f883,f545]) ).

fof(f883,plain,
    ( ~ c0_1(a18)
    | ~ c1_1(a18)
    | ~ spl0_75
    | ~ spl0_122 ),
    inference(resolution,[],[f756,f525]) ).

fof(f880,plain,
    ( spl0_88
    | spl0_92
    | ~ spl0_105
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | spl0_88
    | spl0_92
    | ~ spl0_105
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f878,f590]) ).

fof(f878,plain,
    ( c2_1(a16)
    | spl0_92
    | ~ spl0_105
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f875,f610]) ).

fof(f875,plain,
    ( c3_1(a16)
    | c2_1(a16)
    | ~ spl0_105
    | ~ spl0_120 ),
    inference(resolution,[],[f748,f675]) ).

fof(f861,plain,
    ( spl0_19
    | spl0_42
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f860,plain,
    ( $false
    | spl0_19
    | spl0_42
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f859,f245]) ).

fof(f859,plain,
    ( c1_1(a24)
    | spl0_42
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f857,f360]) ).

fof(f857,plain,
    ( c0_1(a24)
    | c1_1(a24)
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(resolution,[],[f728,f370]) ).

fof(f854,plain,
    ( spl0_23
    | spl0_31
    | ~ spl0_43
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f853]) ).

fof(f853,plain,
    ( $false
    | spl0_23
    | spl0_31
    | ~ spl0_43
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f852,f265]) ).

fof(f852,plain,
    ( c1_1(a19)
    | spl0_31
    | ~ spl0_43
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f849,f305]) ).

fof(f849,plain,
    ( c3_1(a19)
    | c1_1(a19)
    | ~ spl0_43
    | ~ spl0_114 ),
    inference(resolution,[],[f724,f365]) ).

fof(f365,plain,
    ( c2_1(a19)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_43
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f846,plain,
    ( spl0_143
    | spl0_132
    | spl0_138
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f154,f822,f799,f842]) ).

fof(f154,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f145,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f845,plain,
    ( spl0_143
    | spl0_135
    | spl0_124
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f154,f764,f810,f842]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f837,plain,
    ( spl0_135
    | spl0_140
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f154,f727,f829,f810]) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f836,plain,
    ( spl0_120
    | spl0_140
    | spl0_125
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f154,f770,f829,f747]) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | c2_1(X1)
      | c2_1(X2)
      | c3_1(X1)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f835,plain,
    ( spl0_141
    | spl0_129
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f154,f727,f787,f833]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f831,plain,
    ( spl0_140
    | spl0_123
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f154,f755,f759,f829]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f820,plain,
    ( spl0_116
    | spl0_137
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f154,f573,f818,f731]) ).

fof(f573,plain,
    ( spl0_85
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f136,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f816,plain,
    ( spl0_126
    | spl0_136
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f154,f563,f814,f774]) ).

fof(f563,plain,
    ( spl0_83
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f812,plain,
    ( spl0_135
    | spl0_131
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f154,f573,f795,f810]) ).

fof(f138,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f808,plain,
    ( spl0_116
    | spl0_134
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f154,f448,f806,f731]) ).

fof(f448,plain,
    ( spl0_60
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f139,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f804,plain,
    ( spl0_132
    | spl0_133
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f154,f438,f802,f799]) ).

fof(f438,plain,
    ( spl0_58
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f797,plain,
    ( spl0_131
    | spl0_129
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f154,f458,f787,f795]) ).

fof(f458,plain,
    ( spl0_62
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f793,plain,
    ( spl0_118
    | spl0_130
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f154,f218,f791,f739]) ).

fof(f218,plain,
    ( spl0_14
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f140,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f789,plain,
    ( spl0_126
    | spl0_129
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f154,f168,f787,f774]) ).

fof(f168,plain,
    ( spl0_4
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f785,plain,
    ( spl0_127
    | spl0_128
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f154,f163,f783,f780]) ).

fof(f163,plain,
    ( spl0_3
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f137,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f778,plain,
    ( spl0_124
    | spl0_122
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f154,f198,f755,f764]) ).

fof(f198,plain,
    ( spl0_10
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f147,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f777,plain,
    ( spl0_117
    | spl0_119
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f154,f173,f743,f735]) ).

fof(f173,plain,
    ( spl0_5
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f776,plain,
    ( spl0_126
    | spl0_121
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f154,f751,f774]) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f772,plain,
    ( spl0_114
    | spl0_125
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f154,f770,f723]) ).

fof(f141,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f767,plain,
    ( spl0_121
    | spl0_110
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f124,f154,f583,f698,f751]) ).

fof(f698,plain,
    ( spl0_110
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f583,plain,
    ( spl0_87
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f124,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp26
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f766,plain,
    ( spl0_124
    | spl0_86
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f154,f563,f578,f764]) ).

fof(f578,plain,
    ( spl0_86
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp9
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f762,plain,
    ( spl0_121
    | spl0_87
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f125,f154,f558,f583,f751]) ).

fof(f558,plain,
    ( spl0_82
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f125,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp27
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f761,plain,
    ( spl0_123
    | spl0_110
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f120,f154,f463,f698,f759]) ).

fof(f463,plain,
    ( spl0_63
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f120,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp26
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f757,plain,
    ( spl0_122
    | spl0_106
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f154,f458,f678,f755]) ).

fof(f678,plain,
    ( spl0_106
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp6
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f753,plain,
    ( spl0_121
    | spl0_86
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f154,f453,f578,f751]) ).

fof(f453,plain,
    ( spl0_61
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f126,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp9
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f745,plain,
    ( spl0_119
    | spl0_110
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f154,f193,f698,f743]) ).

fof(f193,plain,
    ( spl0_9
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp26
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f741,plain,
    ( spl0_118
    | spl0_84
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f154,f203,f568,f739]) ).

fof(f568,plain,
    ( spl0_84
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f203,plain,
    ( spl0_11
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f128,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp17
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f733,plain,
    ( spl0_116
    | spl0_59
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f121,f154,f223,f443,f731]) ).

fof(f443,plain,
    ( spl0_59
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f223,plain,
    ( spl0_15
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f121,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp2
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f729,plain,
    ( spl0_115
    | spl0_59
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f119,f154,f158,f443,f727]) ).

fof(f158,plain,
    ( spl0_2
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f119,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp2
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f725,plain,
    ( spl0_114
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f118,f154,f558,f723]) ).

fof(f118,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f721,plain,
    ( spl0_85
    | spl0_84
    | spl0_61 ),
    inference(avatar_split_clause,[],[f31,f453,f568,f573]) ).

fof(f31,axiom,
    ( hskp8
    | hskp17
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f720,plain,
    ( spl0_82
    | spl0_86
    | spl0_60 ),
    inference(avatar_split_clause,[],[f32,f448,f578,f558]) ).

fof(f32,axiom,
    ( hskp13
    | hskp9
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f719,plain,
    ( spl0_110
    | spl0_106
    | spl0_7 ),
    inference(avatar_split_clause,[],[f30,f183,f678,f698]) ).

fof(f183,plain,
    ( spl0_7
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f30,axiom,
    ( hskp22
    | hskp6
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f718,plain,
    ( spl0_83
    | spl0_58
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f178,f438,f563]) ).

fof(f178,plain,
    ( spl0_6
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f33,axiom,
    ( hskp23
    | hskp0
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f717,plain,
    ( spl0_84
    | spl0_63
    | spl0_8 ),
    inference(avatar_split_clause,[],[f29,f188,f463,f568]) ).

fof(f188,plain,
    ( spl0_8
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f29,axiom,
    ( hskp21
    | hskp25
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f716,plain,
    ( spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f37,f698,f713]) ).

fof(f37,axiom,
    ( ~ hskp26
    | c0_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f711,plain,
    ( spl0_112
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f39,f698,f708]) ).

fof(f39,axiom,
    ( ~ hskp26
    | c3_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f706,plain,
    ( spl0_111
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f38,f698,f703]) ).

fof(f38,axiom,
    ( ~ hskp26
    | c2_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f696,plain,
    ( spl0_109
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f66,f678,f693]) ).

fof(f66,axiom,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f686,plain,
    ( ~ spl0_107
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f106,f678,f683]) ).

fof(f106,axiom,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f676,plain,
    ( spl0_105
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f62,f578,f673]) ).

fof(f62,axiom,
    ( ~ hskp9
    | c0_1(a16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f671,plain,
    ( spl0_104
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f34,f583,f668]) ).

fof(f34,axiom,
    ( ~ hskp27
    | c0_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f666,plain,
    ( spl0_103
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f53,f568,f663]) ).

fof(f53,axiom,
    ( ~ hskp17
    | c0_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f661,plain,
    ( spl0_102
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f64,f558,f658]) ).

fof(f64,axiom,
    ( ~ hskp7
    | c0_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f656,plain,
    ( spl0_101
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f65,f558,f653]) ).

fof(f65,axiom,
    ( ~ hskp7
    | c3_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f651,plain,
    ( spl0_100
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f45,f563,f648]) ).

fof(f45,axiom,
    ( ~ hskp24
    | c3_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f646,plain,
    ( spl0_99
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f36,f583,f643]) ).

fof(f36,axiom,
    ( ~ hskp27
    | c3_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f641,plain,
    ( spl0_98
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f71,f573,f638]) ).

fof(f71,axiom,
    ( ~ hskp4
    | c3_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f636,plain,
    ( spl0_97
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f70,f573,f633]) ).

fof(f70,axiom,
    ( ~ hskp4
    | c1_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f626,plain,
    ( spl0_95
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f43,f563,f623]) ).

fof(f43,axiom,
    ( ~ hskp24
    | c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f621,plain,
    ( spl0_94
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f54,f568,f618]) ).

fof(f54,axiom,
    ( ~ hskp17
    | c2_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f616,plain,
    ( spl0_93
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f44,f563,f613]) ).

fof(f44,axiom,
    ( ~ hskp24
    | c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f611,plain,
    ( ~ spl0_92
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f102,f578,f608]) ).

fof(f102,axiom,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f606,plain,
    ( ~ spl0_91
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f86,f568,f603]) ).

fof(f86,axiom,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f601,plain,
    ( ~ spl0_90
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f108,f573,f598]) ).

fof(f108,axiom,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f596,plain,
    ( ~ spl0_89
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f105,f558,f593]) ).

fof(f105,axiom,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f591,plain,
    ( ~ spl0_88
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f101,f578,f588]) ).

fof(f101,axiom,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f581,plain,
    ( spl0_1
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f19,f578,f154]) ).

fof(f19,axiom,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f561,plain,
    ( spl0_1
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f21,f558,f154]) ).

fof(f21,axiom,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f556,plain,
    ( spl0_81
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f63,f453,f553]) ).

fof(f63,axiom,
    ( ~ hskp8
    | c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f551,plain,
    ( spl0_80
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f40,f463,f548]) ).

fof(f40,axiom,
    ( ~ hskp25
    | c0_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f546,plain,
    ( spl0_79
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f60,f458,f543]) ).

fof(f60,axiom,
    ( ~ hskp10
    | c0_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f541,plain,
    ( spl0_78
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f74,f438,f538]) ).

fof(f74,axiom,
    ( ~ hskp0
    | c3_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f536,plain,
    ( spl0_77
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f72,f443,f533]) ).

fof(f72,axiom,
    ( ~ hskp2
    | c1_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f531,plain,
    ( spl0_76
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f41,f463,f528]) ).

fof(f41,axiom,
    ( ~ hskp25
    | c1_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f526,plain,
    ( spl0_75
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f61,f458,f523]) ).

fof(f61,axiom,
    ( ~ hskp10
    | c2_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f521,plain,
    ( spl0_74
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f42,f463,f518]) ).

fof(f42,axiom,
    ( ~ hskp25
    | c2_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f516,plain,
    ( ~ spl0_73
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f92,f448,f513]) ).

fof(f92,axiom,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f511,plain,
    ( ~ spl0_72
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f116,f438,f508]) ).

fof(f116,axiom,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f506,plain,
    ( ~ spl0_71
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f94,f448,f503]) ).

fof(f94,axiom,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f501,plain,
    ( ~ spl0_70
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f113,f443,f498]) ).

fof(f113,axiom,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f496,plain,
    ( ~ spl0_69
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f100,f458,f493]) ).

fof(f100,axiom,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f491,plain,
    ( ~ spl0_68
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f103,f453,f488]) ).

fof(f103,axiom,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f486,plain,
    ( ~ spl0_67
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f112,f443,f483]) ).

fof(f112,axiom,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f481,plain,
    ( ~ spl0_66
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f93,f448,f478]) ).

fof(f93,axiom,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f476,plain,
    ( ~ spl0_65
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f117,f438,f473]) ).

fof(f117,axiom,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f471,plain,
    ( ~ spl0_64
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f104,f453,f468]) ).

fof(f104,axiom,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f451,plain,
    ( spl0_1
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f15,f448,f154]) ).

fof(f15,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f436,plain,
    ( spl0_57
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f56,f218,f433]) ).

fof(f56,axiom,
    ( ~ hskp15
    | c0_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f426,plain,
    ( spl0_55
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f52,f198,f423]) ).

fof(f52,axiom,
    ( ~ hskp19
    | c3_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f421,plain,
    ( spl0_54
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f69,f163,f418]) ).

fof(f69,axiom,
    ( ~ hskp5
    | c3_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f416,plain,
    ( spl0_53
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f46,f178,f413]) ).

fof(f46,axiom,
    ( ~ hskp23
    | c3_1(a53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f411,plain,
    ( spl0_52
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f49,f188,f408]) ).

fof(f49,axiom,
    ( ~ hskp21
    | c3_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f406,plain,
    ( spl0_51
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f50,f193,f403]) ).

fof(f50,axiom,
    ( ~ hskp20
    | c1_1(a37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f401,plain,
    ( spl0_50
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f57,f218,f398]) ).

fof(f57,axiom,
    ( ~ hskp15
    | c1_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f391,plain,
    ( spl0_48
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f68,f163,f388]) ).

fof(f68,axiom,
    ( ~ hskp5
    | c1_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f386,plain,
    ( spl0_47
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f73,f168,f383]) ).

fof(f73,axiom,
    ( ~ hskp1
    | c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f381,plain,
    ( spl0_46
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f48,f188,f378]) ).

fof(f48,axiom,
    ( ~ hskp21
    | c2_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f376,plain,
    ( spl0_45
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f51,f198,f373]) ).

fof(f51,axiom,
    ( ~ hskp19
    | c2_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f371,plain,
    ( spl0_44
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f58,f223,f368]) ).

fof(f58,axiom,
    ( ~ hskp14
    | c2_1(a24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f366,plain,
    ( spl0_43
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f59,f173,f363]) ).

fof(f59,axiom,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f361,plain,
    ( ~ spl0_42
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f90,f223,f358]) ).

fof(f90,axiom,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f356,plain,
    ( ~ spl0_41
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f75,f178,f353]) ).

fof(f75,axiom,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f351,plain,
    ( ~ spl0_40
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f83,f203,f348]) ).

fof(f83,axiom,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f346,plain,
    ( ~ spl0_39
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f80,f193,f343]) ).

fof(f80,axiom,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f341,plain,
    ( ~ spl0_38
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f82,f198,f338]) ).

fof(f82,axiom,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f326,plain,
    ( ~ spl0_35
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f168,f323]) ).

fof(f114,axiom,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f321,plain,
    ( ~ spl0_34
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f107,f163,f318]) ).

fof(f107,axiom,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f316,plain,
    ( ~ spl0_33
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f78,f183,f313]) ).

fof(f78,axiom,
    ( ~ hskp22
    | ~ c3_1(a45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f311,plain,
    ( ~ spl0_32
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f89,f218,f308]) ).

fof(f89,axiom,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f306,plain,
    ( ~ spl0_31
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f99,f173,f303]) ).

fof(f99,axiom,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f301,plain,
    ( ~ spl0_30
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f85,f203,f298]) ).

fof(f85,axiom,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f296,plain,
    ( ~ spl0_29
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f111,f158,f293]) ).

fof(f111,axiom,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f291,plain,
    ( ~ spl0_28
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f81,f193,f288]) ).

fof(f81,axiom,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f286,plain,
    ( ~ spl0_27
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f168,f283]) ).

fof(f115,axiom,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f281,plain,
    ( ~ spl0_26
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f76,f178,f278]) ).

fof(f76,axiom,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f271,plain,
    ( ~ spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f109,f158,f268]) ).

fof(f109,axiom,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f266,plain,
    ( ~ spl0_23
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f98,f173,f263]) ).

fof(f98,axiom,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f261,plain,
    ( ~ spl0_22
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f77,f183,f258]) ).

fof(f77,axiom,
    ( ~ hskp22
    | ~ c1_1(a45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f256,plain,
    ( ~ spl0_21
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f84,f203,f253]) ).

fof(f84,axiom,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f246,plain,
    ( ~ spl0_19
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f91,f223,f243]) ).

fof(f91,axiom,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f231,plain,
    ( ~ spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f110,f158,f228]) ).

fof(f110,axiom,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN436-1 : TPTP v8.1.2. Released v2.1.0.
% 0.15/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:17:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (24447)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38  % (24448)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.38  % (24449)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.38  % (24450)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)
% 0.23/0.39  % (24451)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.39  % (24452)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.39  % (24453)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.39  % (24454)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)
% 0.23/0.39  Detected minimum model sizes of [1]
% 0.23/0.39  Detected maximum model sizes of [28]
% 0.23/0.39  TRYING [1]
% 0.23/0.39  Detected minimum model sizes of [1]
% 0.23/0.39  Detected maximum model sizes of [28]
% 0.23/0.39  TRYING [1]
% 0.23/0.39  TRYING [2]
% 0.23/0.39  TRYING [2]
% 0.23/0.39  Detected minimum model sizes of [1]
% 0.23/0.39  Detected maximum model sizes of [28]
% 0.23/0.39  TRYING [1]
% 0.23/0.39  TRYING [3]
% 0.23/0.39  TRYING [2]
% 0.23/0.39  Detected minimum model sizes of [1]
% 0.23/0.39  Detected maximum model sizes of [28]
% 0.23/0.39  TRYING [1]
% 0.23/0.39  TRYING [3]
% 0.23/0.39  TRYING [2]
% 0.23/0.39  TRYING [3]
% 0.23/0.39  TRYING [3]
% 0.23/0.39  TRYING [4]
% 0.23/0.40  TRYING [4]
% 0.23/0.40  TRYING [4]
% 0.23/0.40  TRYING [4]
% 0.23/0.42  TRYING [5]
% 0.23/0.42  TRYING [5]
% 0.23/0.43  TRYING [5]
% 0.23/0.43  TRYING [5]
% 0.23/0.45  % (24453)First to succeed.
% 0.23/0.46  % (24453)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24447"
% 0.23/0.46  % (24453)Refutation found. Thanks to Tanya!
% 0.23/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.47  % (24453)------------------------------
% 0.23/0.47  % (24453)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.47  % (24453)Termination reason: Refutation
% 0.23/0.47  
% 0.23/0.47  % (24453)Memory used [KB]: 2101
% 0.23/0.47  % (24453)Time elapsed: 0.073 s
% 0.23/0.47  % (24453)Instructions burned: 117 (million)
% 0.23/0.47  % (24447)Success in time 0.094 s
%------------------------------------------------------------------------------