TSTP Solution File: SYN506-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN506-1 : 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 : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:06 EDT 2024

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  216
% Syntax   : Number of formulae    :  564 (   1 unt;   0 def)
%            Number of atoms       : 1801 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2205 ( 968   ~;1121   |;   0   &)
%                                         ( 116 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  144 ( 143 usr; 140 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  103 ( 103   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2572,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f235,f290,f315,f325,f330,f335,f345,f380,f385,f390,f395,f400,f405,f410,f415,f420,f445,f475,f480,f485,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f630,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f715,f720,f725,f730,f740,f750,f760,f770,f775,f780,f781,f782,f783,f788,f793,f797,f805,f821,f829,f842,f843,f847,f848,f856,f858,f864,f872,f898,f903,f908,f914,f915,f916,f923,f933,f934,f935,f942,f945,f946,f947,f950,f951,f952,f1021,f1056,f1091,f1096,f1158,f1161,f1312,f1393,f1423,f1437,f1440,f1446,f1458,f1461,f1514,f1527,f1532,f1548,f1559,f1653,f1695,f1748,f1850,f1854,f1876,f1891,f1911,f1917,f1920,f2040,f2071,f2103,f2127,f2181,f2249,f2298,f2304,f2305,f2333,f2334,f2335,f2453,f2456,f2478,f2542,f2559,f2569,f2571]) ).

fof(f2571,plain,
    ( ~ spl0_168
    | spl0_19
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2570,f807,f342,f287,f2398]) ).

fof(f2398,plain,
    ( spl0_168
  <=> c1_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f287,plain,
    ( spl0_19
  <=> c0_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f342,plain,
    ( spl0_30
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f807,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2570,plain,
    ( ~ c1_1(a322)
    | spl0_19
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2556,f289]) ).

fof(f289,plain,
    ( ~ c0_1(a322)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f2556,plain,
    ( c0_1(a322)
    | ~ c1_1(a322)
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(resolution,[],[f808,f344]) ).

fof(f344,plain,
    ( c2_1(a322)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f808,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2569,plain,
    ( spl0_106
    | ~ spl0_111
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2568]) ).

fof(f2568,plain,
    ( $false
    | spl0_106
    | ~ spl0_111
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2567,f749]) ).

fof(f749,plain,
    ( c1_1(a353)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl0_111
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2567,plain,
    ( ~ c1_1(a353)
    | spl0_106
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2553,f724]) ).

fof(f724,plain,
    ( ~ c0_1(a353)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_106
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2553,plain,
    ( c0_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(resolution,[],[f808,f759]) ).

fof(f759,plain,
    ( c2_1(a353)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_113
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2559,plain,
    ( ~ spl0_43
    | ~ spl0_44
    | ~ spl0_122
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2558,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_44
    | ~ spl0_122
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2557,f409]) ).

fof(f409,plain,
    ( c1_1(a341)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl0_43
  <=> c1_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2557,plain,
    ( ~ c1_1(a341)
    | ~ spl0_44
    | ~ spl0_122
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2548,f1798]) ).

fof(f1798,plain,
    ( ~ c0_1(a341)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1796]) ).

fof(f1796,plain,
    ( spl0_162
  <=> c0_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2548,plain,
    ( c0_1(a341)
    | ~ c1_1(a341)
    | ~ spl0_44
    | ~ spl0_122 ),
    inference(resolution,[],[f808,f414]) ).

fof(f414,plain,
    ( c2_1(a341)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl0_44
  <=> c2_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2542,plain,
    ( spl0_39
    | ~ spl0_41
    | ~ spl0_124
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2541]) ).

fof(f2541,plain,
    ( $false
    | spl0_39
    | ~ spl0_41
    | ~ spl0_124
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2540,f399]) ).

fof(f399,plain,
    ( c0_1(a348)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl0_41
  <=> c0_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2540,plain,
    ( ~ c0_1(a348)
    | spl0_39
    | ~ spl0_124
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2536,f389]) ).

fof(f389,plain,
    ( ~ c1_1(a348)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl0_39
  <=> c1_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2536,plain,
    ( c1_1(a348)
    | ~ c0_1(a348)
    | ~ spl0_124
    | ~ spl0_159 ),
    inference(resolution,[],[f816,f1694]) ).

fof(f1694,plain,
    ( c2_1(a348)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f1692,plain,
    ( spl0_159
  <=> c2_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f816,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2478,plain,
    ( spl0_168
    | ~ spl0_27
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2477,f791,f342,f327,f2398]) ).

fof(f327,plain,
    ( spl0_27
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f791,plain,
    ( spl0_118
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2477,plain,
    ( c1_1(a322)
    | ~ spl0_27
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2473,f344]) ).

fof(f2473,plain,
    ( c1_1(a322)
    | ~ c2_1(a322)
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(resolution,[],[f792,f329]) ).

fof(f329,plain,
    ( c3_1(a322)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f792,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f2456,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2455,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2454,f394]) ).

fof(f394,plain,
    ( c3_1(a341)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_40
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2454,plain,
    ( ~ c3_1(a341)
    | ~ spl0_43
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2440,f414]) ).

fof(f2440,plain,
    ( ~ c2_1(a341)
    | ~ c3_1(a341)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f855,f409]) ).

fof(f855,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2453,plain,
    ( ~ spl0_78
    | ~ spl0_80
    | ~ spl0_133
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_133
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2451,f1699]) ).

fof(f1699,plain,
    ( c3_1(a343)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1698,plain,
    ( spl0_160
  <=> c3_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2451,plain,
    ( ~ c3_1(a343)
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2439,f594]) ).

fof(f594,plain,
    ( c2_1(a343)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_80
  <=> c2_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2439,plain,
    ( ~ c2_1(a343)
    | ~ c3_1(a343)
    | ~ spl0_78
    | ~ spl0_133 ),
    inference(resolution,[],[f855,f584]) ).

fof(f584,plain,
    ( c1_1(a343)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl0_78
  <=> c1_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2335,plain,
    ( spl0_65
    | spl0_66
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2325,f905,f831,f522,f517]) ).

fof(f517,plain,
    ( spl0_65
  <=> c1_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f522,plain,
    ( spl0_66
  <=> c2_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f831,plain,
    ( spl0_128
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f905,plain,
    ( spl0_144
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2325,plain,
    ( c1_1(a338)
    | spl0_66
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(resolution,[],[f2309,f524]) ).

fof(f524,plain,
    ( ~ c2_1(a338)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f2309,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f832,f906]) ).

fof(f906,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f832,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f2334,plain,
    ( spl0_58
    | ~ spl0_76
    | spl0_68
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2183,f888,f532,f572,f482]) ).

fof(f482,plain,
    ( spl0_58
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f572,plain,
    ( spl0_76
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f532,plain,
    ( spl0_68
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f888,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2183,plain,
    ( ~ c1_1(a401)
    | c0_1(a401)
    | spl0_68
    | ~ spl0_140 ),
    inference(resolution,[],[f889,f534]) ).

fof(f534,plain,
    ( ~ c2_1(a401)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f889,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f2333,plain,
    ( spl0_24
    | spl0_26
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2314,f905,f831,f322,f312]) ).

fof(f312,plain,
    ( spl0_24
  <=> c1_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f322,plain,
    ( spl0_26
  <=> c2_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2314,plain,
    ( c1_1(a419)
    | spl0_26
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(resolution,[],[f2309,f324]) ).

fof(f324,plain,
    ( ~ c2_1(a419)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f2305,plain,
    ( spl0_62
    | spl0_67
    | ~ spl0_72
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2294,f905,f552,f527,f502]) ).

fof(f502,plain,
    ( spl0_62
  <=> c1_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f527,plain,
    ( spl0_67
  <=> c2_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f552,plain,
    ( spl0_72
  <=> c3_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2294,plain,
    ( c1_1(a367)
    | spl0_67
    | ~ spl0_72
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2284,f529]) ).

fof(f529,plain,
    ( ~ c2_1(a367)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2284,plain,
    ( c2_1(a367)
    | c1_1(a367)
    | ~ spl0_72
    | ~ spl0_144 ),
    inference(resolution,[],[f906,f554]) ).

fof(f554,plain,
    ( c3_1(a367)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f2304,plain,
    ( spl0_5
    | ~ spl0_164
    | spl0_6
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2186,f888,f222,f1961,f217]) ).

fof(f217,plain,
    ( spl0_5
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1961,plain,
    ( spl0_164
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f222,plain,
    ( spl0_6
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2186,plain,
    ( ~ c1_1(a359)
    | c0_1(a359)
    | spl0_6
    | ~ spl0_140 ),
    inference(resolution,[],[f889,f224]) ).

fof(f224,plain,
    ( ~ c2_1(a359)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f2298,plain,
    ( spl0_164
    | spl0_6
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2297,f905,f232,f222,f1961]) ).

fof(f232,plain,
    ( spl0_8
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2297,plain,
    ( c1_1(a359)
    | spl0_6
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2285,f224]) ).

fof(f2285,plain,
    ( c2_1(a359)
    | c1_1(a359)
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(resolution,[],[f906,f234]) ).

fof(f234,plain,
    ( c3_1(a359)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f2249,plain,
    ( ~ spl0_73
    | ~ spl0_78
    | ~ spl0_136
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2248,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_78
    | ~ spl0_136
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2247,f584]) ).

fof(f2247,plain,
    ( ~ c1_1(a343)
    | ~ spl0_73
    | ~ spl0_136
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2238,f1700]) ).

fof(f1700,plain,
    ( ~ c3_1(a343)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f2238,plain,
    ( c3_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_73
    | ~ spl0_136 ),
    inference(resolution,[],[f871,f559]) ).

fof(f559,plain,
    ( c0_1(a343)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl0_73
  <=> c0_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2181,plain,
    ( ~ spl0_99
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_137
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2180]) ).

fof(f2180,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_137
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2167,f689]) ).

fof(f689,plain,
    ( c0_1(a325)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl0_99
  <=> c0_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2167,plain,
    ( ~ c0_1(a325)
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_137
    | ~ spl0_151 ),
    inference(resolution,[],[f2159,f1054]) ).

fof(f1054,plain,
    ( c3_1(a325)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1053,plain,
    ( spl0_151
  <=> c3_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f875,f2106]) ).

fof(f2106,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_121
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f816,f804]) ).

fof(f804,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f803,plain,
    ( spl0_121
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2127,plain,
    ( ~ spl0_42
    | ~ spl0_121
    | ~ spl0_124
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_121
    | ~ spl0_124
    | spl0_157 ),
    inference(subsumption_resolution,[],[f2116,f404]) ).

fof(f404,plain,
    ( c0_1(a346)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl0_42
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2116,plain,
    ( ~ c0_1(a346)
    | ~ spl0_121
    | ~ spl0_124
    | spl0_157 ),
    inference(resolution,[],[f2106,f1656]) ).

fof(f1656,plain,
    ( ~ c1_1(a346)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1655,plain,
    ( spl0_157
  <=> c1_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2103,plain,
    ( ~ spl0_73
    | ~ spl0_80
    | ~ spl0_134
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2102]) ).

fof(f2102,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_80
    | ~ spl0_134
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2101,f559]) ).

fof(f2101,plain,
    ( ~ c0_1(a343)
    | ~ spl0_80
    | ~ spl0_134
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2100,f594]) ).

fof(f2100,plain,
    ( ~ c2_1(a343)
    | ~ c0_1(a343)
    | ~ spl0_134
    | ~ spl0_160 ),
    inference(resolution,[],[f1699,f863]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2071,plain,
    ( ~ spl0_162
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2070,f862,f412,f392,f1796]) ).

fof(f2070,plain,
    ( ~ c0_1(a341)
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2069,f414]) ).

fof(f2069,plain,
    ( ~ c2_1(a341)
    | ~ c0_1(a341)
    | ~ spl0_40
    | ~ spl0_134 ),
    inference(resolution,[],[f394,f863]) ).

fof(f2040,plain,
    ( spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2020,f905,f791,f737,f727]) ).

fof(f727,plain,
    ( spl0_107
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f737,plain,
    ( spl0_109
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2020,plain,
    ( c1_1(a330)
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_144 ),
    inference(resolution,[],[f1993,f739]) ).

fof(f739,plain,
    ( c3_1(a330)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f1993,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_118
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f906,f792]) ).

fof(f1920,plain,
    ( spl0_37
    | ~ spl0_45
    | ~ spl0_131
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | spl0_37
    | ~ spl0_45
    | ~ spl0_131
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1918,f1657]) ).

fof(f1657,plain,
    ( c1_1(a346)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1918,plain,
    ( ~ c1_1(a346)
    | spl0_37
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1904,f379]) ).

fof(f379,plain,
    ( ~ c3_1(a346)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_37
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1904,plain,
    ( c3_1(a346)
    | ~ c1_1(a346)
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(resolution,[],[f846,f419]) ).

fof(f419,plain,
    ( c2_1(a346)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl0_45
  <=> c2_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1917,plain,
    ( spl0_57
    | ~ spl0_75
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | spl0_57
    | ~ spl0_75
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1915,f569]) ).

fof(f569,plain,
    ( c1_1(a355)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_75
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1915,plain,
    ( ~ c1_1(a355)
    | spl0_57
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1901,f479]) ).

fof(f479,plain,
    ( ~ c3_1(a355)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl0_57
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1901,plain,
    ( c3_1(a355)
    | ~ c1_1(a355)
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(resolution,[],[f846,f599]) ).

fof(f599,plain,
    ( c2_1(a355)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_81
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1911,plain,
    ( ~ spl0_78
    | ~ spl0_80
    | ~ spl0_131
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_131
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1909,f584]) ).

fof(f1909,plain,
    ( ~ c1_1(a343)
    | ~ spl0_80
    | ~ spl0_131
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1898,f1700]) ).

fof(f1898,plain,
    ( c3_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_80
    | ~ spl0_131 ),
    inference(resolution,[],[f846,f594]) ).

fof(f1891,plain,
    ( ~ spl0_73
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1889,f584]) ).

fof(f1889,plain,
    ( ~ c1_1(a343)
    | ~ spl0_73
    | ~ spl0_80
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1878,f559]) ).

fof(f1878,plain,
    ( ~ c0_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_80
    | ~ spl0_130 ),
    inference(resolution,[],[f841,f594]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1876,plain,
    ( spl0_94
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1875]) ).

fof(f1875,plain,
    ( $false
    | spl0_94
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1874,f694]) ).

fof(f694,plain,
    ( c1_1(a325)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_100
  <=> c1_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1874,plain,
    ( ~ c1_1(a325)
    | spl0_94
    | ~ spl0_99
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1866,f689]) ).

fof(f1866,plain,
    ( ~ c0_1(a325)
    | ~ c1_1(a325)
    | spl0_94
    | ~ spl0_127 ),
    inference(resolution,[],[f828,f664]) ).

fof(f664,plain,
    ( ~ c2_1(a325)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_94
  <=> c2_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f828,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1854,plain,
    ( spl0_94
    | ~ spl0_99
    | ~ spl0_125
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1853]) ).

fof(f1853,plain,
    ( $false
    | spl0_94
    | ~ spl0_99
    | ~ spl0_125
    | spl0_151 ),
    inference(subsumption_resolution,[],[f1852,f1055]) ).

fof(f1055,plain,
    ( ~ c3_1(a325)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1852,plain,
    ( c3_1(a325)
    | spl0_94
    | ~ spl0_99
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1847,f664]) ).

fof(f1847,plain,
    ( c2_1(a325)
    | c3_1(a325)
    | ~ spl0_99
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f689]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f819,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1850,plain,
    ( spl0_159
    | spl0_38
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1849,f819,f397,f382,f1692]) ).

fof(f382,plain,
    ( spl0_38
  <=> c3_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1849,plain,
    ( c2_1(a348)
    | spl0_38
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1839,f384]) ).

fof(f384,plain,
    ( ~ c3_1(a348)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1839,plain,
    ( c2_1(a348)
    | c3_1(a348)
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f399]) ).

fof(f1748,plain,
    ( spl0_105
    | spl0_107
    | ~ spl0_109
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1634,f880,f737,f727,f717]) ).

fof(f717,plain,
    ( spl0_105
  <=> c0_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f880,plain,
    ( spl0_138
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1634,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ spl0_109
    | ~ spl0_138 ),
    inference(resolution,[],[f881,f739]) ).

fof(f881,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1695,plain,
    ( spl0_39
    | spl0_159
    | spl0_38
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1588,f831,f382,f1692,f387]) ).

fof(f1588,plain,
    ( c2_1(a348)
    | c1_1(a348)
    | spl0_38
    | ~ spl0_128 ),
    inference(resolution,[],[f832,f384]) ).

fof(f1653,plain,
    ( spl0_89
    | spl0_93
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | spl0_89
    | spl0_93
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1646,f639]) ).

fof(f639,plain,
    ( ~ c0_1(a332)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl0_89
  <=> c0_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1646,plain,
    ( c0_1(a332)
    | spl0_93
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(resolution,[],[f1638,f659]) ).

fof(f659,plain,
    ( ~ c2_1(a332)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_93
  <=> c2_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1638,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f889,f851]) ).

fof(f851,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1559,plain,
    ( spl0_24
    | spl0_26
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | spl0_24
    | spl0_26
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1557,f314]) ).

fof(f314,plain,
    ( ~ c1_1(a419)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1557,plain,
    ( c1_1(a419)
    | spl0_26
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1549,f334]) ).

fof(f334,plain,
    ( c0_1(a419)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl0_28
  <=> c0_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1549,plain,
    ( ~ c0_1(a419)
    | c1_1(a419)
    | spl0_26
    | ~ spl0_121 ),
    inference(resolution,[],[f804,f324]) ).

fof(f1548,plain,
    ( spl0_92
    | ~ spl0_97
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | spl0_92
    | ~ spl0_97
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1540,f679]) ).

fof(f679,plain,
    ( c0_1(a337)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_97
  <=> c0_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1540,plain,
    ( ~ c0_1(a337)
    | spl0_92
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(resolution,[],[f1516,f654]) ).

fof(f654,plain,
    ( ~ c2_1(a337)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl0_92
  <=> c2_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1516,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f804,f828]) ).

fof(f1532,plain,
    ( ~ spl0_95
    | spl0_90
    | ~ spl0_101
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1173,f795,f697,f642,f667]) ).

fof(f667,plain,
    ( spl0_95
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f642,plain,
    ( spl0_90
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f697,plain,
    ( spl0_101
  <=> c1_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f795,plain,
    ( spl0_119
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1173,plain,
    ( c2_1(a349)
    | ~ c3_1(a349)
    | ~ spl0_101
    | ~ spl0_119 ),
    inference(resolution,[],[f699,f796]) ).

fof(f796,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f699,plain,
    ( c1_1(a349)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1527,plain,
    ( spl0_67
    | ~ spl0_72
    | ~ spl0_119
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | spl0_67
    | ~ spl0_72
    | ~ spl0_119
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1520,f529]) ).

fof(f1520,plain,
    ( c2_1(a367)
    | ~ spl0_72
    | ~ spl0_119
    | ~ spl0_144 ),
    inference(resolution,[],[f1515,f554]) ).

fof(f1515,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_119
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f906,f796]) ).

fof(f1514,plain,
    ( spl0_56
    | spl0_63
    | spl0_69
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | spl0_56
    | spl0_63
    | spl0_69
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1512,f509]) ).

fof(f509,plain,
    ( ~ c1_1(a323)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_63
  <=> c1_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1512,plain,
    ( c1_1(a323)
    | spl0_56
    | spl0_69
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1499,f539]) ).

fof(f539,plain,
    ( ~ c2_1(a323)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl0_69
  <=> c2_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1499,plain,
    ( c2_1(a323)
    | c1_1(a323)
    | spl0_56
    | ~ spl0_128 ),
    inference(resolution,[],[f832,f474]) ).

fof(f474,plain,
    ( ~ c3_1(a323)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_56
  <=> c3_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1461,plain,
    ( spl0_91
    | ~ spl0_96
    | ~ spl0_98
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | spl0_91
    | ~ spl0_96
    | ~ spl0_98
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1459,f684]) ).

fof(f684,plain,
    ( c0_1(a345)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl0_98
  <=> c0_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1459,plain,
    ( ~ c0_1(a345)
    | spl0_91
    | ~ spl0_96
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1454,f649]) ).

fof(f649,plain,
    ( ~ c2_1(a345)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_91
  <=> c2_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1454,plain,
    ( c2_1(a345)
    | ~ c0_1(a345)
    | ~ spl0_96
    | ~ spl0_143 ),
    inference(resolution,[],[f902,f674]) ).

fof(f674,plain,
    ( c3_1(a345)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_96
  <=> c3_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1458,plain,
    ( ~ spl0_156
    | spl0_67
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1457,f901,f552,f527,f1415]) ).

fof(f1415,plain,
    ( spl0_156
  <=> c0_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1457,plain,
    ( ~ c0_1(a367)
    | spl0_67
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1450,f529]) ).

fof(f1450,plain,
    ( c2_1(a367)
    | ~ c0_1(a367)
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(resolution,[],[f902,f554]) ).

fof(f1446,plain,
    ( spl0_105
    | spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | spl0_105
    | spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1444,f719]) ).

fof(f719,plain,
    ( ~ c0_1(a330)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1444,plain,
    ( c0_1(a330)
    | spl0_107
    | ~ spl0_109
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1432,f1233]) ).

fof(f1233,plain,
    ( ~ c2_1(a330)
    | spl0_107
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1227,f729]) ).

fof(f729,plain,
    ( ~ c1_1(a330)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1227,plain,
    ( c1_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(resolution,[],[f792,f739]) ).

fof(f1432,plain,
    ( c2_1(a330)
    | c0_1(a330)
    | ~ spl0_109
    | ~ spl0_142 ),
    inference(resolution,[],[f896,f739]) ).

fof(f896,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_142
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1440,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1438,f219]) ).

fof(f219,plain,
    ( ~ c0_1(a359)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1438,plain,
    ( c0_1(a359)
    | spl0_6
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1428,f224]) ).

fof(f1428,plain,
    ( c2_1(a359)
    | c0_1(a359)
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(resolution,[],[f896,f234]) ).

fof(f1437,plain,
    ( spl0_156
    | spl0_67
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1436,f895,f552,f527,f1415]) ).

fof(f1436,plain,
    ( c0_1(a367)
    | spl0_67
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1427,f529]) ).

fof(f1427,plain,
    ( c2_1(a367)
    | c0_1(a367)
    | ~ spl0_72
    | ~ spl0_142 ),
    inference(resolution,[],[f896,f554]) ).

fof(f1423,plain,
    ( ~ spl0_74
    | ~ spl0_71
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1422,f1093,f862,f547,f562]) ).

fof(f562,plain,
    ( spl0_74
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f547,plain,
    ( spl0_71
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1093,plain,
    ( spl0_152
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1422,plain,
    ( ~ c0_1(a333)
    | ~ spl0_71
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1420,f1095]) ).

fof(f1095,plain,
    ( c2_1(a333)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1420,plain,
    ( ~ c2_1(a333)
    | ~ c0_1(a333)
    | ~ spl0_71
    | ~ spl0_134 ),
    inference(resolution,[],[f549,f863]) ).

fof(f549,plain,
    ( c3_1(a333)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1393,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1392,plain,
    ( $false
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1391,f779]) ).

fof(f779,plain,
    ( c1_1(a327)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl0_117
  <=> c1_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1391,plain,
    ( ~ c1_1(a327)
    | spl0_115
    | ~ spl0_116
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1383,f769]) ).

fof(f769,plain,
    ( ~ c3_1(a327)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_115
  <=> c3_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1383,plain,
    ( c3_1(a327)
    | ~ c1_1(a327)
    | ~ spl0_116
    | ~ spl0_136 ),
    inference(resolution,[],[f871,f774]) ).

fof(f774,plain,
    ( c0_1(a327)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl0_116
  <=> c0_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1312,plain,
    ( ~ spl0_79
    | spl0_64
    | ~ spl0_70
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1225,f791,f542,f512,f587]) ).

fof(f587,plain,
    ( spl0_79
  <=> c2_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f512,plain,
    ( spl0_64
  <=> c1_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f542,plain,
    ( spl0_70
  <=> c3_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1225,plain,
    ( c1_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_70
    | ~ spl0_118 ),
    inference(resolution,[],[f792,f544]) ).

fof(f544,plain,
    ( c3_1(a347)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1161,plain,
    ( spl0_19
    | ~ spl0_27
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1154,f880,f854,f795,f327,f287]) ).

fof(f1154,plain,
    ( c0_1(a322)
    | ~ spl0_27
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(resolution,[],[f1146,f329]) ).

fof(f1146,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f881,f1058]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f855,f796]) ).

fof(f1158,plain,
    ( spl0_105
    | ~ spl0_109
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1157]) ).

fof(f1157,plain,
    ( $false
    | spl0_105
    | ~ spl0_109
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1153,f719]) ).

fof(f1153,plain,
    ( c0_1(a330)
    | ~ spl0_109
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_138 ),
    inference(resolution,[],[f1146,f739]) ).

fof(f1096,plain,
    ( ~ spl0_71
    | spl0_152
    | ~ spl0_77
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f973,f795,f577,f1093,f547]) ).

fof(f577,plain,
    ( spl0_77
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f973,plain,
    ( c2_1(a333)
    | ~ c3_1(a333)
    | ~ spl0_77
    | ~ spl0_119 ),
    inference(resolution,[],[f796,f579]) ).

fof(f579,plain,
    ( c1_1(a333)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f1091,plain,
    ( ~ spl0_71
    | ~ spl0_77
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | ~ spl0_71
    | ~ spl0_77
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1080,f579]) ).

fof(f1080,plain,
    ( ~ c1_1(a333)
    | ~ spl0_71
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(resolution,[],[f1058,f549]) ).

fof(f1056,plain,
    ( ~ spl0_151
    | spl0_94
    | ~ spl0_100
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1048,f795,f692,f662,f1053]) ).

fof(f1048,plain,
    ( c2_1(a325)
    | ~ c3_1(a325)
    | ~ spl0_100
    | ~ spl0_119 ),
    inference(resolution,[],[f694,f796]) ).

fof(f1021,plain,
    ( spl0_87
    | spl0_92
    | ~ spl0_97
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | spl0_87
    | spl0_92
    | ~ spl0_97
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1019,f629]) ).

fof(f629,plain,
    ( ~ c3_1(a337)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_87
  <=> c3_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1019,plain,
    ( c3_1(a337)
    | spl0_92
    | ~ spl0_97
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1014,f654]) ).

fof(f1014,plain,
    ( c2_1(a337)
    | c3_1(a337)
    | ~ spl0_97
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f679]) ).

fof(f952,plain,
    ( spl0_140
    | spl0_131
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f198,f840,f845,f888]) ).

fof(f198,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f951,plain,
    ( spl0_140
    | spl0_125
    | spl0_124
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f198,f815,f819,f888]) ).

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

fof(f950,plain,
    ( spl0_121
    | spl0_118
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f198,f895,f791,f803]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c0_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f947,plain,
    ( spl0_130
    | spl0_119
    | spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f198,f905,f795,f840]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c2_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f946,plain,
    ( spl0_140
    | spl0_143
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f198,f862,f901,f888]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f945,plain,
    ( spl0_125
    | spl0_143
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f198,f862,f901,f819]) ).

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

fof(f942,plain,
    ( spl0_140
    | spl0_118
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f198,f762,f791,f888]) ).

fof(f762,plain,
    ( spl0_114
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f935,plain,
    ( spl0_125
    | spl0_130
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f198,f622,f840,f819]) ).

fof(f622,plain,
    ( spl0_86
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f934,plain,
    ( spl0_127
    | spl0_136
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f198,f612,f870,f827]) ).

fof(f612,plain,
    ( spl0_84
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f933,plain,
    ( spl0_128
    | spl0_144
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f198,f602,f905,f831]) ).

fof(f602,plain,
    ( spl0_82
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f154,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c3_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f923,plain,
    ( spl0_133
    | spl0_137
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f198,f622,f874,f854]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f916,plain,
    ( spl0_124
    | spl0_136
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f198,f427,f870,f815]) ).

fof(f427,plain,
    ( spl0_47
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f915,plain,
    ( spl0_132
    | spl0_142
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f198,f447,f895,f850]) ).

fof(f447,plain,
    ( spl0_51
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f152,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f914,plain,
    ( spl0_121
    | spl0_138
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f198,f452,f880,f803]) ).

fof(f452,plain,
    ( spl0_52
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp26
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f908,plain,
    ( spl0_133
    | spl0_118
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f198,f462,f791,f854]) ).

fof(f462,plain,
    ( spl0_54
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f903,plain,
    ( spl0_142
    | spl0_143
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f198,f457,f901,f895]) ).

fof(f457,plain,
    ( spl0_53
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f898,plain,
    ( spl0_122
    | spl0_121
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f198,f367,f803,f807]) ).

fof(f367,plain,
    ( spl0_35
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f872,plain,
    ( spl0_128
    | spl0_136
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f198,f207,f870,f831]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f864,plain,
    ( spl0_134
    | spl0_114
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f198,f617,f762,f862]) ).

fof(f617,plain,
    ( spl0_85
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp5
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f858,plain,
    ( spl0_125
    | spl0_83
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f198,f612,f607,f819]) ).

fof(f607,plain,
    ( spl0_83
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp3
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f856,plain,
    ( spl0_133
    | spl0_86
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f198,f607,f622,f854]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f848,plain,
    ( spl0_128
    | spl0_114
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f198,f422,f762,f831]) ).

fof(f422,plain,
    ( spl0_46
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp5
      | c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f847,plain,
    ( spl0_131
    | spl0_104
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f198,f457,f712,f845]) ).

fof(f712,plain,
    ( spl0_104
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f843,plain,
    ( spl0_121
    | spl0_104
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f198,f462,f712,f803]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp7
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f842,plain,
    ( spl0_130
    | spl0_103
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f198,f442,f707,f840]) ).

fof(f707,plain,
    ( spl0_103
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f442,plain,
    ( spl0_50
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp17
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f829,plain,
    ( spl0_127
    | spl0_82
    | spl0_36
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f198,f372,f602,f827]) ).

fof(f372,plain,
    ( spl0_36
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f821,plain,
    ( spl0_125
    | spl0_53
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f198,f362,f457,f819]) ).

fof(f362,plain,
    ( spl0_34
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp28
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f805,plain,
    ( spl0_121
    | spl0_47
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f198,f242,f427,f803]) ).

fof(f242,plain,
    ( spl0_10
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp19
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f797,plain,
    ( spl0_119
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f198,f457,f795]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f793,plain,
    ( spl0_118
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f198,f367,f791]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f788,plain,
    ( spl0_103
    | spl0_82
    | spl0_46 ),
    inference(avatar_split_clause,[],[f35,f422,f602,f707]) ).

fof(f35,axiom,
    ( hskp14
    | hskp12
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f783,plain,
    ( spl0_48
    | spl0_51
    | spl0_11 ),
    inference(avatar_split_clause,[],[f36,f247,f447,f432]) ).

fof(f432,plain,
    ( spl0_48
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f247,plain,
    ( spl0_11
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f36,axiom,
    ( hskp25
    | hskp1
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f782,plain,
    ( spl0_104
    | spl0_50 ),
    inference(avatar_split_clause,[],[f2,f442,f712]) ).

fof(f2,axiom,
    ( hskp24
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f781,plain,
    ( spl0_85
    | spl0_11 ),
    inference(avatar_split_clause,[],[f1,f247,f617]) ).

fof(f1,axiom,
    ( hskp25
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f780,plain,
    ( spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f74,f762,f777]) ).

fof(f74,axiom,
    ( ~ hskp5
    | c1_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f775,plain,
    ( spl0_116
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f73,f762,f772]) ).

fof(f73,axiom,
    ( ~ hskp5
    | c0_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f770,plain,
    ( ~ spl0_115
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f116,f762,f767]) ).

fof(f116,axiom,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f760,plain,
    ( spl0_113
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f59,f707,f757]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c2_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f750,plain,
    ( spl0_111
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f58,f707,f747]) ).

fof(f58,axiom,
    ( ~ hskp17
    | c1_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f740,plain,
    ( spl0_109
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f71,f712,f737]) ).

fof(f71,axiom,
    ( ~ hskp7
    | c3_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f730,plain,
    ( ~ spl0_107
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f113,f712,f727]) ).

fof(f113,axiom,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f725,plain,
    ( ~ spl0_106
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f95,f707,f722]) ).

fof(f95,axiom,
    ( ~ hskp17
    | ~ c0_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f720,plain,
    ( ~ spl0_105
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f112,f712,f717]) ).

fof(f112,axiom,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f715,plain,
    ( spl0_1
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f24,f712,f198]) ).

fof(f24,axiom,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f700,plain,
    ( spl0_101
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f60,f617,f697]) ).

fof(f60,axiom,
    ( ~ hskp16
    | c1_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f695,plain,
    ( spl0_100
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f78,f607,f692]) ).

fof(f78,axiom,
    ( ~ hskp3
    | c1_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f690,plain,
    ( spl0_99
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f77,f607,f687]) ).

fof(f77,axiom,
    ( ~ hskp3
    | c0_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f685,plain,
    ( spl0_98
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f67,f602,f682]) ).

fof(f67,axiom,
    ( ~ hskp12
    | c0_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f680,plain,
    ( spl0_97
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f69,f622,f677]) ).

fof(f69,axiom,
    ( ~ hskp10
    | c0_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f675,plain,
    ( spl0_96
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f68,f602,f672]) ).

fof(f68,axiom,
    ( ~ hskp12
    | c3_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f670,plain,
    ( spl0_95
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f61,f617,f667]) ).

fof(f61,axiom,
    ( ~ hskp16
    | c3_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f665,plain,
    ( ~ spl0_94
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f118,f607,f662]) ).

fof(f118,axiom,
    ( ~ hskp3
    | ~ c2_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f660,plain,
    ( ~ spl0_93
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f612,f657]) ).

fof(f110,axiom,
    ( ~ hskp8
    | ~ c2_1(a332) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f655,plain,
    ( ~ spl0_92
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f105,f622,f652]) ).

fof(f105,axiom,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f650,plain,
    ( ~ spl0_91
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f101,f602,f647]) ).

fof(f101,axiom,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f645,plain,
    ( ~ spl0_90
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f96,f617,f642]) ).

fof(f96,axiom,
    ( ~ hskp16
    | ~ c2_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f640,plain,
    ( ~ spl0_89
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f612,f637]) ).

fof(f109,axiom,
    ( ~ hskp8
    | ~ c0_1(a332) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f630,plain,
    ( ~ spl0_87
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f622,f627]) ).

fof(f106,axiom,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f600,plain,
    ( spl0_81
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f56,f427,f597]) ).

fof(f56,axiom,
    ( ~ hskp19
    | c2_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f595,plain,
    ( spl0_80
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f41,f457,f592]) ).

fof(f41,axiom,
    ( ~ hskp28
    | c2_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f590,plain,
    ( spl0_79
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f63,f422,f587]) ).

fof(f63,axiom,
    ( ~ hskp14
    | c2_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f585,plain,
    ( spl0_78
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f40,f457,f582]) ).

fof(f40,axiom,
    ( ~ hskp28
    | c1_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f580,plain,
    ( spl0_77
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f46,f452,f577]) ).

fof(f46,axiom,
    ( ~ hskp26
    | c1_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f575,plain,
    ( spl0_76
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f49,f442,f572]) ).

fof(f49,axiom,
    ( ~ hskp24
    | c1_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f570,plain,
    ( spl0_75
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f55,f427,f567]) ).

fof(f55,axiom,
    ( ~ hskp19
    | c1_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f565,plain,
    ( spl0_74
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f45,f452,f562]) ).

fof(f45,axiom,
    ( ~ hskp26
    | c0_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f560,plain,
    ( spl0_73
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f39,f457,f557]) ).

fof(f39,axiom,
    ( ~ hskp28
    | c0_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f555,plain,
    ( spl0_72
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f52,f462,f552]) ).

fof(f52,axiom,
    ( ~ hskp22
    | c3_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f550,plain,
    ( spl0_71
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f47,f452,f547]) ).

fof(f47,axiom,
    ( ~ hskp26
    | c3_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f545,plain,
    ( spl0_70
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f64,f422,f542]) ).

fof(f64,axiom,
    ( ~ hskp14
    | c3_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f540,plain,
    ( ~ spl0_69
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f123,f447,f537]) ).

fof(f123,axiom,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f535,plain,
    ( ~ spl0_68
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f84,f442,f532]) ).

fof(f84,axiom,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f530,plain,
    ( ~ spl0_67
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f87,f462,f527]) ).

fof(f87,axiom,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f525,plain,
    ( ~ spl0_66
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f104,f432,f522]) ).

fof(f104,axiom,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f520,plain,
    ( ~ spl0_65
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f103,f432,f517]) ).

fof(f103,axiom,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f515,plain,
    ( ~ spl0_64
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f99,f422,f512]) ).

fof(f99,axiom,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f510,plain,
    ( ~ spl0_63
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f122,f447,f507]) ).

fof(f122,axiom,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f505,plain,
    ( ~ spl0_62
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f86,f462,f502]) ).

fof(f86,axiom,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f485,plain,
    ( ~ spl0_58
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f83,f442,f482]) ).

fof(f83,axiom,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f480,plain,
    ( ~ spl0_57
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f92,f427,f477]) ).

fof(f92,axiom,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f475,plain,
    ( ~ spl0_56
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f124,f447,f472]) ).

fof(f124,axiom,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f445,plain,
    ( spl0_1
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f7,f442,f198]) ).

fof(f7,axiom,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f420,plain,
    ( spl0_45
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f66,f372,f417]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c2_1(a346) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f415,plain,
    ( spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f43,f362,f412]) ).

fof(f43,axiom,
    ( ~ hskp27
    | c2_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f410,plain,
    ( spl0_43
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f42,f362,f407]) ).

fof(f42,axiom,
    ( ~ hskp27
    | c1_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f405,plain,
    ( spl0_42
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f65,f372,f402]) ).

fof(f65,axiom,
    ( ~ hskp13
    | c0_1(a346) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f400,plain,
    ( spl0_41
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f62,f367,f397]) ).

fof(f62,axiom,
    ( ~ hskp15
    | c0_1(a348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f395,plain,
    ( spl0_40
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f44,f362,f392]) ).

fof(f44,axiom,
    ( ~ hskp27
    | c3_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f390,plain,
    ( ~ spl0_39
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f97,f367,f387]) ).

fof(f97,axiom,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f385,plain,
    ( ~ spl0_38
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f98,f367,f382]) ).

fof(f98,axiom,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f380,plain,
    ( ~ spl0_37
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f100,f372,f377]) ).

fof(f100,axiom,
    ( ~ hskp13
    | ~ c3_1(a346) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f345,plain,
    ( spl0_30
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f79,f242,f342]) ).

fof(f79,axiom,
    ( ~ hskp0
    | c2_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f335,plain,
    ( spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f48,f247,f332]) ).

fof(f48,axiom,
    ( ~ hskp25
    | c0_1(a419) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f330,plain,
    ( spl0_27
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f80,f242,f327]) ).

fof(f80,axiom,
    ( ~ hskp0
    | c3_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f325,plain,
    ( ~ spl0_26
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f82,f247,f322]) ).

fof(f82,axiom,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f315,plain,
    ( ~ spl0_24
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f81,f247,f312]) ).

fof(f81,axiom,
    ( ~ hskp25
    | ~ c1_1(a419) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f290,plain,
    ( ~ spl0_19
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f125,f242,f287]) ).

fof(f125,axiom,
    ( ~ hskp0
    | ~ c0_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f235,plain,
    ( spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f53,f207,f232]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c3_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f225,plain,
    ( ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f89,f207,f222]) ).

fof(f89,axiom,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f220,plain,
    ( ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f88,f207,f217]) ).

fof(f88,axiom,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN506-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n027.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   : Tue Apr 30 02:24:47 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (10516)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (10519)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)
% 0.15/0.39  % (10517)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (10520)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (10521)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (10518)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (10522)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (10523)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)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [29]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [29]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.42  % (10522)First to succeed.
% 0.22/0.42  TRYING [5]
% 0.22/0.42  % (10519)Also succeeded, but the first one will report.
% 0.22/0.42  % (10522)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43  % (10522)------------------------------
% 0.22/0.43  % (10522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43  % (10522)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (10522)Memory used [KB]: 1634
% 0.22/0.43  % (10522)Time elapsed: 0.034 s
% 0.22/0.43  % (10522)Instructions burned: 56 (million)
% 0.22/0.43  % (10522)------------------------------
% 0.22/0.43  % (10522)------------------------------
% 0.22/0.43  % (10516)Success in time 0.053 s
%------------------------------------------------------------------------------