%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET020-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n029.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 : Wed Aug 31 18:23:11 EDT 2022

% Result   : Unsatisfiable 12.25s 1.93s
% Output   : Refutation 12.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  213
% Syntax   : Number of formulae    :  735 (  56 unt;   0 def)
%            Number of atoms       : 1793 ( 335 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1815 ( 757   ~; 897   |;   0   &)
%                                         ( 161 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :  167 ( 165 usr; 162 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  10 con; 0-3 aty)
%            Number of variables   :  350 ( 350   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2437,plain,
    $false,
    inference(avatar_smt_refutation,[],[f268,f273,f278,f284,f289,f294,f301,f306,f312,f318,f324,f329,f334,f361,f373,f398,f406,f538,f585,f590,f617,f622,f627,f652,f661,f674,f731,f739,f756,f763,f768,f773,f779,f785,f791,f805,f807,f845,f849,f903,f904,f913,f918,f923,f928,f977,f991,f1000,f1004,f1009,f1042,f1051,f1067,f1072,f1077,f1084,f1090,f1091,f1092,f1097,f1106,f1111,f1112,f1113,f1114,f1119,f1120,f1126,f1131,f1133,f1151,f1155,f1240,f1287,f1293,f1333,f1339,f1376,f1389,f1394,f1399,f1404,f1407,f1479,f1480,f1485,f1490,f1529,f1553,f1558,f1571,f1577,f1583,f1595,f1600,f1607,f1613,f1615,f1630,f1631,f1632,f1633,f1694,f1703,f1734,f1739,f1744,f1749,f1754,f1761,f1766,f1771,f1778,f1783,f1788,f1793,f1801,f1825,f1826,f1831,f1850,f1855,f1876,f1881,f1882,f1931,f1948,f1953,f1959,f1964,f1970,f1973,f1986,f1999,f2004,f2009,f2045,f2061,f2069,f2071,f2072,f2094,f2098,f2109,f2120,f2121,f2122,f2127,f2140,f2151,f2165,f2167,f2184,f2185,f2186,f2187,f2204,f2205,f2206,f2210,f2214,f2236,f2258,f2263,f2274,f2275,f2281,f2286,f2287,f2303,f2307,f2311,f2315,f2319,f2320,f2367,f2374,f2386,f2391,f2392,f2397,f2398,f2403,f2425,f2436]) ).

fof(f2436,plain,
    ( spl0_9
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2434,f2260,f303]) ).

fof(f303,plain,
    ( spl0_9
  <=> u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2260,plain,
    ( spl0_145
  <=> member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(u,u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2434,plain,
    ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_145 ),
    inference(resolution,[],[f2262,f213]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f2262,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(u,u))
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f2260]) ).

fof(f2425,plain,
    ( spl0_160
    | ~ spl0_161
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2414,f1847,f2422,f2418]) ).

fof(f2418,plain,
    ( spl0_160
  <=> member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2422,plain,
    ( spl0_161
  <=> member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1847,plain,
    ( spl0_114
  <=> unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2414,plain,
    ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),element_relation)
    | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | ~ spl0_114 ),
    inference(superposition,[],[f241,f1849]) ).

fof(f1849,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f1847]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
      | member(X0,X1) ),
    inference(definition_unfolding,[],[f19,f164]) ).

fof(f164,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),element_relation)
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation2) ).

fof(f2403,plain,
    ( spl0_159
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2380,f2362,f2400]) ).

fof(f2400,plain,
    ( spl0_159
  <=> null_class = unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2362,plain,
    ( spl0_153
  <=> ! [X6] : ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2380,plain,
    ( null_class = unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( member(X0,universal_class)
      | unordered_pair(X0,X0) = null_class ),
    inference(definition_unfolding,[],[f126,f12]) ).

fof(f126,axiom,
    ! [X0] :
      ( singleton(X0) = null_class
      | member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).

fof(f2363,plain,
    ( ! [X6] : ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f2362]) ).

fof(f2398,plain,
    ( spl0_113
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2377,f2362,f1828]) ).

fof(f1828,plain,
    ( spl0_113
  <=> second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2377,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f455]) ).

fof(f455,plain,
    ! [X0] :
      ( member(second(X0),universal_class)
      | second(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f446]) ).

fof(f446,plain,
    ! [X0] :
      ( second(X0) = X0
      | second(X0) = X0
      | member(second(X0),universal_class) ),
    inference(resolution,[],[f346,f307]) ).

fof(f307,plain,
    ! [X0] :
      ( member(X0,cross_product(universal_class,universal_class))
      | second(X0) = X0 ),
    inference(backward_subsumption_demodulation,[],[f234,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
      | second(X0) = X0 ),
    inference(definition_unfolding,[],[f157,f164]) ).

fof(f157,axiom,
    ! [X0] :
      ( second(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5) ).

fof(f234,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class))
      | second(X0) = X0 ),
    inference(definition_unfolding,[],[f155,f164]) ).

fof(f155,axiom,
    ! [X0] :
      ( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
      | second(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).

fof(f346,plain,
    ! [X3,X4,X5] :
      ( ~ member(X3,cross_product(X4,X5))
      | second(X3) = X3
      | member(second(X3),X5) ),
    inference(superposition,[],[f195,f182]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
      | member(X3,X1) ),
    inference(definition_unfolding,[],[f15,f164]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).

fof(f2397,plain,
    ( spl0_158
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2383,f2362,f2394]) ).

fof(f2394,plain,
    ( spl0_158
  <=> first(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2383,plain,
    ( first(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f296]) ).

fof(f296,plain,
    ! [X0] :
      ( member(X0,cross_product(universal_class,universal_class))
      | first(X0) = X0 ),
    inference(forward_subsumption_demodulation,[],[f181,f253]) ).

fof(f253,plain,
    ! [X0] :
      ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
      | first(X0) = X0 ),
    inference(definition_unfolding,[],[f156,f164]) ).

fof(f156,axiom,
    ! [X0] :
      ( first(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).

fof(f181,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class))
      | first(X0) = X0 ),
    inference(definition_unfolding,[],[f154,f164]) ).

fof(f154,axiom,
    ! [X0] :
      ( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
      | first(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).

fof(f2392,plain,
    ( spl0_103
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2376,f2362,f1746]) ).

fof(f1746,plain,
    ( spl0_103
  <=> first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2376,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f501]) ).

fof(f501,plain,
    ! [X1] :
      ( member(second(X1),universal_class)
      | first(X1) = X1 ),
    inference(duplicate_literal_removal,[],[f493]) ).

fof(f493,plain,
    ! [X1] :
      ( member(second(X1),universal_class)
      | first(X1) = X1
      | first(X1) = X1 ),
    inference(resolution,[],[f350,f296]) ).

fof(f350,plain,
    ! [X6,X4,X5] :
      ( ~ member(X4,cross_product(X5,X6))
      | first(X4) = X4
      | member(second(X4),X6) ),
    inference(superposition,[],[f195,f253]) ).

fof(f2391,plain,
    ( spl0_157
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2382,f2362,f2388]) ).

fof(f2388,plain,
    ( spl0_157
  <=> second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = second(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2382,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = second(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f307]) ).

fof(f2386,plain,
    ( ~ spl0_133
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2375]) ).

fof(f2375,plain,
    ( $false
    | ~ spl0_133
    | ~ spl0_153 ),
    inference(resolution,[],[f2363,f2093]) ).

fof(f2093,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f2091]) ).

fof(f2091,plain,
    ( spl0_133
  <=> member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2374,plain,
    ( spl0_155
    | spl0_156
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2353,f1847,f2372,f2369]) ).

fof(f2369,plain,
    ( spl0_155
  <=> ! [X4] :
        ( member(null_class,X4)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2372,plain,
    ( spl0_156
  <=> ! [X5] : ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2353,plain,
    ( ! [X4,X5] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5)
        | member(null_class,X4)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X4) )
    | ~ spl0_114 ),
    inference(resolution,[],[f1869,f195]) ).

fof(f1869,plain,
    ( ! [X2,X3] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X2,X3))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X3)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X2) )
    | ~ spl0_114 ),
    inference(superposition,[],[f215,f1849]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
      | ~ member(X3,X1)
      | ~ member(X2,X0) ),
    inference(definition_unfolding,[],[f16,f164]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(X3,X1)
      | ~ member(X2,X0)
      | member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).

fof(f2367,plain,
    ( spl0_153
    | spl0_154
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2354,f1847,f2365,f2362]) ).

fof(f2365,plain,
    ( spl0_154
  <=> ! [X7] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X7)
        | member(u,X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2354,plain,
    ( ! [X6,X7] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X7)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6)
        | member(u,X7) )
    | ~ spl0_114 ),
    inference(resolution,[],[f1869,f176]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
      | member(X2,X0) ),
    inference(definition_unfolding,[],[f14,f164]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).

fof(f2320,plain,
    ( spl0_148
    | ~ spl0_70
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2292,f1945,f1116,f2301]) ).

fof(f2301,plain,
    ( spl0_148
  <=> ! [X5] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1116,plain,
    ( spl0_70
  <=> member(u,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1945,plain,
    ( spl0_117
  <=> unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2292,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,X0))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0) )
    | ~ spl0_70
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f1118]) ).

fof(f1118,plain,
    ( member(u,universal_class)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f2228,plain,
    ( ! [X6,X7] :
        ( ~ member(u,X6)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X7)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X6,X7)) )
    | ~ spl0_117 ),
    inference(superposition,[],[f215,f1947]) ).

fof(f1947,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))))
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1945]) ).

fof(f2319,plain,
    ( spl0_152
    | spl0_148
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2293,f1945,f2301,f2317]) ).

fof(f2317,plain,
    ( spl0_152
  <=> ! [X2] : unordered_pair(null_class,unordered_pair(u,unordered_pair(X2,X2))) = first(unordered_pair(null_class,unordered_pair(u,unordered_pair(X2,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2293,plain,
    ( ! [X2,X1] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,X1))
        | unordered_pair(null_class,unordered_pair(u,unordered_pair(X2,X2))) = first(unordered_pair(null_class,unordered_pair(u,unordered_pair(X2,X2))))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X1) )
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f1135]) ).

fof(f1135,plain,
    ! [X2,X3] :
      ( member(X2,universal_class)
      | unordered_pair(null_class,unordered_pair(X2,unordered_pair(X3,X3))) = first(unordered_pair(null_class,unordered_pair(X2,unordered_pair(X3,X3)))) ),
    inference(resolution,[],[f279,f296]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(null_class,unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
      | member(X2,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f248,f207]) ).

fof(f248,plain,
    ! [X2,X3,X0,X1] :
      ( member(X2,universal_class)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f94,f164]) ).

fof(f94,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X2,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).

fof(f2315,plain,
    ( ~ spl0_70
    | spl0_151
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2296,f1945,f2313,f1116]) ).

fof(f2313,plain,
    ( spl0_151
  <=> ! [X6] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(unordered_pair(u,u),X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2296,plain,
    ( ! [X6] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6)
        | ~ member(u,universal_class)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(unordered_pair(u,u),X6)) )
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f247]) ).

fof(f247,plain,
    ! [X0] :
      ( member(X0,unordered_pair(X0,X0))
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f122,f12]) ).

fof(f122,axiom,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).

fof(f2311,plain,
    ( spl0_148
    | spl0_150
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2294,f1945,f2309,f2301]) ).

fof(f2309,plain,
    ( spl0_150
  <=> ! [X4] : second(unordered_pair(null_class,unordered_pair(u,unordered_pair(X4,X4)))) = unordered_pair(null_class,unordered_pair(u,unordered_pair(X4,X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2294,plain,
    ( ! [X3,X4] :
        ( second(unordered_pair(null_class,unordered_pair(u,unordered_pair(X4,X4)))) = unordered_pair(null_class,unordered_pair(u,unordered_pair(X4,X4)))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X3)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,X3)) )
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f1134]) ).

fof(f1134,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | second(unordered_pair(null_class,unordered_pair(X0,unordered_pair(X1,X1)))) = unordered_pair(null_class,unordered_pair(X0,unordered_pair(X1,X1))) ),
    inference(resolution,[],[f279,f307]) ).

fof(f2307,plain,
    ( ~ spl0_70
    | spl0_149
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2299,f1945,f2305,f1116]) ).

fof(f2305,plain,
    ( spl0_149
  <=> ! [X9,X10] :
        ( null_class = intersection(X10,cross_product(unordered_pair(u,u),universal_class))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X9)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(domain_of(X10),X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2299,plain,
    ( ! [X10,X9] :
        ( null_class = intersection(X10,cross_product(unordered_pair(u,u),universal_class))
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(domain_of(X10),X9))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X9)
        | ~ member(u,universal_class) )
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f171]) ).

fof(f171,plain,
    ! [X0,X4] :
      ( member(X4,domain_of(X0))
      | null_class = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class))
      | ~ member(X4,universal_class) ),
    inference(definition_unfolding,[],[f31,f28,f12]) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).

fof(f31,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | restrict(X0,singleton(X4),universal_class) = null_class
      | member(X4,domain_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).

fof(f2303,plain,
    ( spl0_87
    | spl0_148
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2295,f1945,f2301,f1555]) ).

fof(f1555,plain,
    ( spl0_87
  <=> null_class = unordered_pair(u,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2295,plain,
    ( ! [X5] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5)
        | null_class = unordered_pair(u,u)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,X5)) )
    | ~ spl0_117 ),
    inference(resolution,[],[f2228,f207]) ).

fof(f2287,plain,
    ( spl0_64
    | spl0_65
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2085,f358,f1082,f1079]) ).

fof(f1079,plain,
    ( spl0_64
  <=> ! [X1] : ~ member(v,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1082,plain,
    ( spl0_65
  <=> ! [X0] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f358,plain,
    ( spl0_15
  <=> unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2085,plain,
    ( ! [X0,X1] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(u,X0)
        | ~ member(v,X1) )
    | ~ spl0_15 ),
    inference(resolution,[],[f608,f215]) ).

fof(f608,plain,
    ( ! [X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X4,X5))
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X4) )
    | ~ spl0_15 ),
    inference(superposition,[],[f176,f360]) ).

fof(f360,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f2286,plain,
    ( spl0_147
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2267,f1079,f2283]) ).

fof(f2283,plain,
    ( spl0_147
  <=> null_class = unordered_pair(v,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2267,plain,
    ( null_class = unordered_pair(v,v)
    | ~ spl0_64 ),
    inference(resolution,[],[f1080,f207]) ).

fof(f1080,plain,
    ( ! [X1] : ~ member(v,X1)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f2281,plain,
    ( spl0_146
    | ~ spl0_56
    | ~ spl0_64
    | ~ spl0_85
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2276,f1696,f1482,f1079,f1002,f2278]) ).

fof(f2278,plain,
    ( spl0_146
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(null_class,universal_class))))))),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1002,plain,
    ( spl0_56
  <=> ! [X0] :
        ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X0))
        | null_class = intersection(X0,cross_product(unordered_pair(v,v),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1482,plain,
    ( spl0_85
  <=> v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1696,plain,
    ( spl0_98
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(v,v),universal_class)),universal_class))))))),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2276,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(null_class,universal_class))))))),v)
    | ~ spl0_56
    | ~ spl0_64
    | ~ spl0_85
    | ~ spl0_98 ),
    inference(backward_demodulation,[],[f1698,f2272]) ).

fof(f2272,plain,
    ( ! [X2] : null_class = intersection(X2,cross_product(unordered_pair(v,v),universal_class))
    | ~ spl0_56
    | ~ spl0_64
    | ~ spl0_85 ),
    inference(resolution,[],[f1080,f1601]) ).

fof(f1601,plain,
    ( ! [X0] :
        ( member(v,domain_of(X0))
        | null_class = intersection(X0,cross_product(unordered_pair(v,v),universal_class)) )
    | ~ spl0_56
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1003,f1484]) ).

fof(f1484,plain,
    ( v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(v,v),universal_class))
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X0)) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1698,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(v,v),universal_class)),universal_class))))))),v)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f1696]) ).

fof(f2275,plain,
    ( ~ spl0_64
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_93 ),
    inference(resolution,[],[f1080,f1606]) ).

fof(f1606,plain,
    ( member(v,unordered_pair(v,v))
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f1604,plain,
    ( spl0_93
  <=> member(v,unordered_pair(v,v)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2274,plain,
    ( ~ spl0_52
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_64 ),
    inference(resolution,[],[f1080,f985]) ).

fof(f985,plain,
    ( member(v,universal_class)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_52
  <=> member(v,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2263,plain,
    ( spl0_145
    | ~ spl0_70
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2251,f1082,f1116,f2260]) ).

fof(f2251,plain,
    ( ~ member(u,universal_class)
    | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(u,u))
    | ~ spl0_65 ),
    inference(resolution,[],[f1083,f247]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f2258,plain,
    ( ~ spl0_70
    | spl0_144
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2254,f1082,f2256,f1116]) ).

fof(f2256,plain,
    ( spl0_144
  <=> ! [X2] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X2))
        | null_class = intersection(X2,cross_product(unordered_pair(u,u),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2254,plain,
    ( ! [X2] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X2))
        | ~ member(u,universal_class)
        | null_class = intersection(X2,cross_product(unordered_pair(u,u),universal_class)) )
    | ~ spl0_65 ),
    inference(resolution,[],[f1083,f171]) ).

fof(f2236,plain,
    ( spl0_120
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2234,f1945,f1961]) ).

fof(f1961,plain,
    ( spl0_120
  <=> subclass(unordered_pair(unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2234,plain,
    ( subclass(unordered_pair(unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_117 ),
    inference(superposition,[],[f175,f1947]) ).

fof(f175,plain,
    ! [X0,X1] : subclass(unordered_pair(X1,X1),unordered_pair(X0,X1)),
    inference(definition_unfolding,[],[f110,f12]) ).

fof(f110,axiom,
    ! [X0,X1] : subclass(singleton(X1),unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_in_unordered_pair2) ).

fof(f2214,plain,
    ( spl0_141
    | spl0_143
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2190,f1847,f1741,f2212,f2202]) ).

fof(f2202,plain,
    ( spl0_141
  <=> ! [X1] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X1,universal_class))
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2212,plain,
    ( spl0_143
  <=> ! [X4] : unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X4,X4))) = second(unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X4,X4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1741,plain,
    ( spl0_102
  <=> null_class = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2190,plain,
    ( ! [X3,X4] :
        ( unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X4,X4))) = second(unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X4,X4))))
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X3)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X3,universal_class)) )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f2155,f1134]) ).

fof(f2155,plain,
    ( ! [X2,X3] :
        ( ~ member(null_class,X3)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X2)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X2,X3)) )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(backward_demodulation,[],[f1869,f1743]) ).

fof(f1743,plain,
    ( null_class = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f2210,plain,
    ( ~ spl0_7
    | spl0_142
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2196,f1847,f1741,f2208,f291]) ).

fof(f291,plain,
    ( spl0_7
  <=> member(null_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2208,plain,
    ( spl0_142
  <=> ! [X11,X10] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X10)
        | null_class = intersection(X11,cross_product(unordered_pair(null_class,null_class),universal_class))
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X10,domain_of(X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2196,plain,
    ( ! [X10,X11] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X10)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X10,domain_of(X11)))
        | ~ member(null_class,universal_class)
        | null_class = intersection(X11,cross_product(unordered_pair(null_class,null_class),universal_class)) )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f2155,f171]) ).

fof(f2206,plain,
    ( spl0_137
    | spl0_141
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2191,f1847,f1741,f2202,f2124]) ).

fof(f2124,plain,
    ( spl0_137
  <=> null_class = unordered_pair(null_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2191,plain,
    ( ! [X5] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X5,universal_class))
        | null_class = unordered_pair(null_class,null_class)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5) )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f2155,f207]) ).

fof(f2205,plain,
    ( spl0_141
    | ~ spl0_7
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2188,f1847,f1741,f291,f2202]) ).

fof(f2188,plain,
    ( ! [X0] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X0,universal_class)) )
    | ~ spl0_7
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f2155,f293]) ).

fof(f293,plain,
    ( member(null_class,universal_class)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f2204,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2189,f1847,f1741,f2202,f2199]) ).

fof(f2199,plain,
    ( spl0_140
  <=> ! [X2] : unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X2,X2))) = first(unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X2,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2189,plain,
    ( ! [X2,X1] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X1,universal_class))
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X1)
        | unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X2,X2))) = first(unordered_pair(null_class,unordered_pair(null_class,unordered_pair(X2,X2)))) )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f2155,f1135]) ).

fof(f2187,plain,
    ( spl0_101
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2181,f1751,f1736]) ).

fof(f1736,plain,
    ( spl0_101
  <=> unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1751,plain,
    ( spl0_104
  <=> unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2181,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_104 ),
    inference(superposition,[],[f108,f1753]) ).

fof(f1753,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f108,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

fof(f2186,plain,
    ( spl0_101
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2178,f1751,f1736]) ).

fof(f2178,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_104 ),
    inference(superposition,[],[f1753,f108]) ).

fof(f2185,plain,
    ( spl0_101
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2182,f1751,f1736]) ).

fof(f2182,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_104 ),
    inference(superposition,[],[f108,f1753]) ).

fof(f2184,plain,
    ( spl0_101
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2177,f1751,f1736]) ).

fof(f2177,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_104 ),
    inference(superposition,[],[f1753,f108]) ).

fof(f2167,plain,
    ( spl0_104
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2166,f1847,f1741,f1751]) ).

fof(f2166,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f2153,f108]) ).

fof(f2153,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(backward_demodulation,[],[f1849,f1743]) ).

fof(f2165,plain,
    ( spl0_106
    | ~ spl0_102
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2164,f1878,f1741,f1763]) ).

fof(f1763,plain,
    ( spl0_106
  <=> subclass(unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1878,plain,
    ( spl0_115
  <=> subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2164,plain,
    ( subclass(unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_102
    | ~ spl0_115 ),
    inference(forward_demodulation,[],[f2157,f108]) ).

fof(f2157,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(null_class,null_class)),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_102
    | ~ spl0_115 ),
    inference(backward_demodulation,[],[f1880,f1743]) ).

fof(f1880,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f1878]) ).

fof(f2151,plain,
    ( spl0_102
    | spl0_139
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2143,f2091,f2148,f1741]) ).

fof(f2148,plain,
    ( spl0_139
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),universal_class)),universal_class))))))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2143,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),universal_class)),universal_class))))))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | null_class = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_133 ),
    inference(resolution,[],[f2093,f194]) ).

fof(f194,plain,
    ! [X1] :
      ( ~ member(X1,universal_class)
      | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),X1)
      | null_class = X1 ),
    inference(definition_unfolding,[],[f70,f163]) ).

fof(f163,plain,
    ! [X1,X8] : apply(X8,X1) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X8,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),
    inference(definition_unfolding,[],[f68,f160,f162,f12]) ).

fof(f162,plain,
    ! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(X0,universal_class)),universal_class)))),
    inference(definition_unfolding,[],[f42,f161,f28]) ).

fof(f161,plain,
    ! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
    inference(definition_unfolding,[],[f39,f38]) ).

fof(f38,axiom,
    ! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f39,axiom,
    ! [X4] : domain_of(inverse(X4)) = range_of(X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).

fof(f42,axiom,
    ! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).

fof(f160,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
    inference(definition_unfolding,[],[f53,f28]) ).

fof(f53,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).

fof(f68,axiom,
    ! [X1,X8] : sum_class(image(X8,singleton(X1))) = apply(X8,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply) ).

fof(f70,axiom,
    ! [X1] :
      ( ~ member(X1,universal_class)
      | member(apply(choice,X1),X1)
      | null_class = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',choice2) ).

fof(f2140,plain,
    ( ~ spl0_52
    | spl0_138
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2136,f1482,f358,f2138,f984]) ).

fof(f2138,plain,
    ( spl0_138
  <=> ! [X11,X10] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X10)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X10,domain_of(X11)))
        | null_class = intersection(X11,cross_product(unordered_pair(v,v),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2136,plain,
    ( ! [X10,X11] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X10)
        | ~ member(v,universal_class)
        | null_class = intersection(X11,cross_product(unordered_pair(v,v),universal_class))
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X10,domain_of(X11))) )
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(resolution,[],[f1560,f171]) ).

fof(f1560,plain,
    ( ! [X0,X1] :
        ( ~ member(v,X1)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X0,X1))
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(backward_demodulation,[],[f606,f1484]) ).

fof(f606,plain,
    ( ! [X0,X1] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X0,X1)) )
    | ~ spl0_15 ),
    inference(superposition,[],[f215,f360]) ).

fof(f2127,plain,
    ( spl0_137
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2113,f2104,f2124]) ).

fof(f2104,plain,
    ( spl0_135
  <=> ! [X1] : ~ member(null_class,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2113,plain,
    ( null_class = unordered_pair(null_class,null_class)
    | ~ spl0_135 ),
    inference(resolution,[],[f2105,f207]) ).

fof(f2105,plain,
    ( ! [X1] : ~ member(null_class,X1)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f2104]) ).

fof(f2122,plain,
    ( ~ spl0_16
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2119]) ).

fof(f2119,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_135 ),
    inference(resolution,[],[f2105,f372]) ).

fof(f372,plain,
    ( member(null_class,omega)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_16
  <=> member(null_class,omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2121,plain,
    ( ~ spl0_7
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2110]) ).

fof(f2110,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_135 ),
    inference(resolution,[],[f2105,f293]) ).

fof(f2120,plain,
    ( ~ spl0_10
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2114]) ).

fof(f2114,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(resolution,[],[f2105,f311]) ).

fof(f311,plain,
    ( member(null_class,unordered_pair(null_class,null_class))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl0_10
  <=> member(null_class,unordered_pair(null_class,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2109,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2102,f1847,f2107,f2104]) ).

fof(f2107,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2102,plain,
    ( ! [X0,X1] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0)
        | ~ member(null_class,X1) )
    | ~ spl0_114 ),
    inference(resolution,[],[f1871,f215]) ).

fof(f1871,plain,
    ( ! [X6,X7] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X6,X7))
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X6) )
    | ~ spl0_114 ),
    inference(superposition,[],[f176,f1849]) ).

fof(f2098,plain,
    ( spl0_51
    | spl0_134
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2089,f1847,f2096,f975]) ).

fof(f975,plain,
    ( spl0_51
  <=> ! [X1] : ~ member(u,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2096,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ member(null_class,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2089,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X0)
        | ~ member(u,X1) )
    | ~ spl0_114 ),
    inference(resolution,[],[f1870,f215]) ).

fof(f1870,plain,
    ( ! [X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(X4,X5))
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),X5) )
    | ~ spl0_114 ),
    inference(superposition,[],[f195,f1849]) ).

fof(f2094,plain,
    ( spl0_133
    | ~ spl0_110
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2086,f1847,f1785,f2091]) ).

fof(f1785,plain,
    ( spl0_110
  <=> member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2086,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class)
    | ~ spl0_110
    | ~ spl0_114 ),
    inference(resolution,[],[f1870,f1787]) ).

fof(f1787,plain,
    ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f2072,plain,
    ( spl0_130
    | spl0_132
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2049,f2039,f2067,f2058]) ).

fof(f2058,plain,
    ( spl0_130
  <=> null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2067,plain,
    ( spl0_132
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))),cross_product(X1,X0))
        | ~ member(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),X1)
        | ~ member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2039,plain,
    ( spl0_127
  <=> null_class = second(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2049,plain,
    ( ! [X2,X3] :
        ( ~ member(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),X3)
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))),cross_product(X3,X2))
        | null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
        | ~ member(null_class,X2) )
    | ~ spl0_127 ),
    inference(superposition,[],[f345,f2041]) ).

fof(f2041,plain,
    ( null_class = second(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f2039]) ).

fof(f345,plain,
    ! [X2,X0,X1] :
      ( ~ member(second(X0),X2)
      | member(X0,cross_product(X1,X2))
      | ~ member(first(X0),X1)
      | second(X0) = X0 ),
    inference(superposition,[],[f215,f182]) ).

fof(f2071,plain,
    ( spl0_129
    | spl0_131
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2070,f2039,f2063,f2054]) ).

fof(f2054,plain,
    ( spl0_129
  <=> unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2063,plain,
    ( spl0_131
  <=> unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2070,plain,
    ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))
    | unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | ~ spl0_127 ),
    inference(forward_demodulation,[],[f2050,f108]) ).

fof(f2050,plain,
    ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),unordered_pair(null_class,null_class)))
    | unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))
    | ~ spl0_127 ),
    inference(superposition,[],[f253,f2041]) ).

fof(f2069,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2048,f2039,f2067,f2063]) ).

fof(f2048,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))),cross_product(X1,X0))
        | ~ member(null_class,X0)
        | ~ member(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),X1)
        | unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))) )
    | ~ spl0_127 ),
    inference(superposition,[],[f349,f2041]) ).

fof(f349,plain,
    ! [X2,X3,X1] :
      ( ~ member(second(X1),X3)
      | first(X1) = X1
      | member(X1,cross_product(X2,X3))
      | ~ member(first(X1),X2) ),
    inference(superposition,[],[f215,f253]) ).

fof(f2061,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2052,f2039,f2058,f2054]) ).

fof(f2052,plain,
    ( null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | ~ spl0_127 ),
    inference(forward_demodulation,[],[f2051,f108]) ).

fof(f2051,plain,
    ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))),unordered_pair(null_class,null_class)))
    | null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | ~ spl0_127 ),
    inference(superposition,[],[f182,f2041]) ).

fof(f2045,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2037,f1847,f1116,f2043,f2039]) ).

fof(f2043,plain,
    ( spl0_128
  <=> ! [X4] : unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(u,u))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2037,plain,
    ( ! [X4] :
        ( unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(u,u))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
        | null_class = second(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))) )
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(forward_subsumption_demodulation,[],[f2029,f1526]) ).

fof(f1526,plain,
    ( ! [X3,X4,X5] :
        ( unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(u,u)))
        | u = X4 )
    | ~ spl0_70 ),
    inference(resolution,[],[f1118,f236]) ).

fof(f236,plain,
    ! [X0,X1,X6,X4] :
      ( ~ member(X0,universal_class)
      | unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X0,X0)))
      | X0 = X4 ),
    inference(definition_unfolding,[],[f152,f164,f164]) ).

fof(f152,axiom,
    ! [X0,X1,X6,X4] :
      ( X0 = X4
      | ~ member(X0,universal_class)
      | ordered_pair(X1,X4) != ordered_pair(X6,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

fof(f2029,plain,
    ( ! [X4] :
        ( unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(u,u))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
        | u = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) )
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(superposition,[],[f1526,f1849]) ).

fof(f2009,plain,
    ( spl0_126
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2003,f1758,f2006]) ).

fof(f2006,plain,
    ( spl0_126
  <=> null_class = unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1758,plain,
    ( spl0_105
  <=> member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2003,plain,
    ( null_class = unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | spl0_105 ),
    inference(resolution,[],[f1759,f207]) ).

fof(f1759,plain,
    ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f1758]) ).

fof(f2004,plain,
    ( spl0_113
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2000,f1758,f1828]) ).

fof(f2000,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_105 ),
    inference(resolution,[],[f1759,f484]) ).

fof(f484,plain,
    ! [X0] :
      ( member(first(X0),universal_class)
      | second(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f475]) ).

fof(f475,plain,
    ! [X0] :
      ( member(first(X0),universal_class)
      | second(X0) = X0
      | second(X0) = X0 ),
    inference(resolution,[],[f347,f307]) ).

fof(f347,plain,
    ! [X8,X6,X7] :
      ( ~ member(X6,cross_product(X7,X8))
      | second(X6) = X6
      | member(first(X6),X7) ),
    inference(superposition,[],[f176,f182]) ).

fof(f1999,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1987,f1758,f1996,f1992]) ).

fof(f1992,plain,
    ( spl0_124
  <=> null_class = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1996,plain,
    ( spl0_125
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),universal_class)),universal_class))))))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1987,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),universal_class)),universal_class))))))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))
    | null_class = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_105 ),
    inference(resolution,[],[f1760,f194]) ).

fof(f1760,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f1758]) ).

fof(f1986,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1974,f1094,f1983,f1979]) ).

fof(f1979,plain,
    ( spl0_122
  <=> null_class = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1983,plain,
    ( spl0_123
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),universal_class)),universal_class))))))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1094,plain,
    ( spl0_66
  <=> member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1974,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),universal_class)),universal_class))))))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | null_class = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_66 ),
    inference(resolution,[],[f1096,f194]) ).

fof(f1096,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1973,plain,
    ( spl0_104
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | spl0_104
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f1971]) ).

fof(f1971,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_104
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f1935,f108]) ).

fof(f1935,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) != unordered_pair(unordered_pair(u,u),unordered_pair(unordered_pair(null_class,null_class),u))
    | spl0_104
    | ~ spl0_109 ),
    inference(backward_demodulation,[],[f1752,f1781]) ).

fof(f1781,plain,
    ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f1780]) ).

fof(f1780,plain,
    ( spl0_109
  <=> u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1752,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_104 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1970,plain,
    ( ~ spl0_121
    | spl0_101
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1965,f1780,f1736,f1967]) ).

fof(f1967,plain,
    ( spl0_121
  <=> unordered_pair(unordered_pair(u,unordered_pair(null_class,null_class)),unordered_pair(u,u)) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1965,plain,
    ( unordered_pair(unordered_pair(u,unordered_pair(null_class,null_class)),unordered_pair(u,u)) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_101
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f1933,f108]) ).

fof(f1933,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),u),unordered_pair(u,u)) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_101
    | ~ spl0_109 ),
    inference(backward_demodulation,[],[f1737,f1781]) ).

fof(f1737,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_101 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1964,plain,
    ( spl0_120
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1943,f1878,f1780,f1961]) ).

fof(f1943,plain,
    ( subclass(unordered_pair(unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(backward_demodulation,[],[f1880,f1781]) ).

fof(f1959,plain,
    ( ~ spl0_119
    | spl0_106
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1954,f1780,f1763,f1956]) ).

fof(f1956,plain,
    ( spl0_119
  <=> subclass(unordered_pair(unordered_pair(u,unordered_pair(null_class,null_class)),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1954,plain,
    ( ~ subclass(unordered_pair(unordered_pair(u,unordered_pair(null_class,null_class)),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_106
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f1937,f108]) ).

fof(f1937,plain,
    ( ~ subclass(unordered_pair(unordered_pair(unordered_pair(null_class,null_class),u),unordered_pair(unordered_pair(null_class,null_class),u)),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_106
    | ~ spl0_109 ),
    inference(backward_demodulation,[],[f1764,f1781]) ).

fof(f1764,plain,
    ( ~ subclass(unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_106 ),
    inference(avatar_component_clause,[],[f1763]) ).

fof(f1953,plain,
    ( ~ spl0_118
    | spl0_103
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1934,f1780,f1746,f1950]) ).

fof(f1950,plain,
    ( spl0_118
  <=> u = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1934,plain,
    ( u != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_103
    | ~ spl0_109 ),
    inference(backward_demodulation,[],[f1748,f1781]) ).

fof(f1748,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_103 ),
    inference(avatar_component_clause,[],[f1746]) ).

fof(f1948,plain,
    ( spl0_117
    | ~ spl0_109
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1939,f1847,f1780,f1945]) ).

fof(f1939,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))))
    | ~ spl0_109
    | ~ spl0_114 ),
    inference(backward_demodulation,[],[f1849,f1781]) ).

fof(f1931,plain,
    ( spl0_116
    | spl0_109
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1924,f1847,f1116,f1780,f1929]) ).

fof(f1929,plain,
    ( spl0_116
  <=> ! [X4] : unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1924,plain,
    ( ! [X4] :
        ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
        | unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) )
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(superposition,[],[f1525,f1849]) ).

fof(f1525,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | u = X0 )
    | ~ spl0_70 ),
    inference(resolution,[],[f1118,f256]) ).

fof(f256,plain,
    ! [X0,X1,X6,X4] :
      ( ~ member(X6,universal_class)
      | X1 = X6
      | unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X0,X0))) ),
    inference(definition_unfolding,[],[f151,f164,f164]) ).

fof(f151,axiom,
    ! [X0,X1,X6,X4] :
      ( X1 = X6
      | ~ member(X6,universal_class)
      | ordered_pair(X1,X4) != ordered_pair(X6,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components1) ).

fof(f1882,plain,
    ( spl0_112
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1873,f1847,f1798]) ).

fof(f1798,plain,
    ( spl0_112
  <=> subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1873,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_114 ),
    inference(superposition,[],[f223,f1849]) ).

fof(f223,plain,
    ! [X0,X1] : subclass(unordered_pair(X0,X0),unordered_pair(X0,X1)),
    inference(definition_unfolding,[],[f109,f12]) ).

fof(f109,axiom,
    ! [X0,X1] : subclass(singleton(X0),unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_in_unordered_pair1) ).

fof(f1881,plain,
    ( spl0_115
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1874,f1847,f1878]) ).

fof(f1874,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_114 ),
    inference(superposition,[],[f175,f1849]) ).

fof(f1876,plain,
    ( spl0_100
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1872,f1847,f1731]) ).

fof(f1731,plain,
    ( spl0_100
  <=> member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1872,plain,
    ( member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_114 ),
    inference(superposition,[],[f252,f1849]) ).

fof(f252,plain,
    ! [X0,X1] : member(unordered_pair(X0,X0),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),
    inference(definition_unfolding,[],[f146,f12,f164]) ).

fof(f146,axiom,
    ! [X0,X1] : member(singleton(X0),ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_member_of_ordered_pair) ).

fof(f1855,plain,
    ( spl0_48
    | spl0_43 ),
    inference(avatar_split_clause,[],[f1854,f802,f920]) ).

fof(f920,plain,
    ( spl0_48
  <=> null_class = unordered_pair(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f802,plain,
    ( spl0_43
  <=> member(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1854,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | spl0_43 ),
    inference(resolution,[],[f804,f207]) ).

fof(f804,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f1850,plain,
    ( spl0_114
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1845,f1785,f1847]) ).

fof(f1845,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_110 ),
    inference(resolution,[],[f1787,f239]) ).

fof(f239,plain,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ),
    inference(definition_unfolding,[],[f17,f164]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | ordered_pair(first(X4),second(X4)) = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f1831,plain,
    ( spl0_113
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1822,f1785,f1828]) ).

fof(f1822,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_110 ),
    inference(resolution,[],[f1786,f307]) ).

fof(f1786,plain,
    ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
    | spl0_110 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f1826,plain,
    ( ~ spl0_70
    | ~ spl0_7
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1824,f1785,f291,f1116]) ).

fof(f1824,plain,
    ( ~ member(null_class,universal_class)
    | ~ member(u,universal_class)
    | spl0_110 ),
    inference(resolution,[],[f1786,f215]) ).

fof(f1825,plain,
    ( spl0_103
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1823,f1785,f1746]) ).

fof(f1823,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_110 ),
    inference(resolution,[],[f1786,f296]) ).

fof(f1801,plain,
    ( spl0_112
    | ~ spl0_24
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1707,f1700,f614,f1798]) ).

fof(f614,plain,
    ( spl0_24
  <=> subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1700,plain,
    ( spl0_99
  <=> null_class = v ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1707,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_24
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f616,f1702]) ).

fof(f1702,plain,
    ( null_class = v
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f616,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f1793,plain,
    ( ~ spl0_111
    | spl0_91
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1722,f1700,f1592,f1790]) ).

fof(f1790,plain,
    ( spl0_111
  <=> subclass(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1592,plain,
    ( spl0_91
  <=> subclass(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1722,plain,
    ( ~ subclass(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_91
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1593,f1702]) ).

fof(f1593,plain,
    ( ~ subclass(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | spl0_91 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1788,plain,
    ( spl0_110
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1704,f1700,f286,f1785]) ).

fof(f286,plain,
    ( spl0_6
  <=> member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1704,plain,
    ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f288,f1702]) ).

fof(f288,plain,
    ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,universal_class))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1783,plain,
    ( ~ spl0_109
    | spl0_9
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1705,f1700,f303,f1780]) ).

fof(f1705,plain,
    ( u != first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_9
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f305,f1702]) ).

fof(f305,plain,
    ( u != first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f1778,plain,
    ( ~ spl0_108
    | spl0_94
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1726,f1700,f1610,f1775]) ).

fof(f1775,plain,
    ( spl0_108
  <=> null_class = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1610,plain,
    ( spl0_94
  <=> v = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1726,plain,
    ( null_class != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_94
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1611,f1702]) ).

fof(f1611,plain,
    ( v != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | spl0_94 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1771,plain,
    ( ~ spl0_107
    | spl0_92
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1723,f1700,f1597,f1768]) ).

fof(f1768,plain,
    ( spl0_107
  <=> member(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1597,plain,
    ( spl0_92
  <=> member(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1723,plain,
    ( ~ member(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | spl0_92
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1598,f1702]) ).

fof(f1598,plain,
    ( ~ member(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | spl0_92 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1766,plain,
    ( spl0_106
    | ~ spl0_90
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1721,f1700,f1580,f1763]) ).

fof(f1580,plain,
    ( spl0_90
  <=> subclass(unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1721,plain,
    ( subclass(unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_90
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1582,f1702]) ).

fof(f1582,plain,
    ( subclass(unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f1580]) ).

fof(f1761,plain,
    ( spl0_105
    | ~ spl0_66
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1713,f1700,f1094,f1758]) ).

fof(f1713,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),universal_class)
    | ~ spl0_66
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1096,f1702]) ).

fof(f1754,plain,
    ( spl0_104
    | ~ spl0_89
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1720,f1700,f1574,f1751]) ).

fof(f1574,plain,
    ( spl0_89
  <=> unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1720,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_89
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1576,f1702]) ).

fof(f1576,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1749,plain,
    ( ~ spl0_103
    | spl0_68
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1714,f1700,f1103,f1746]) ).

fof(f1103,plain,
    ( spl0_68
  <=> first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1714,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | spl0_68
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1104,f1702]) ).

fof(f1104,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | spl0_68 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1744,plain,
    ( spl0_102
    | ~ spl0_85
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1716,f1700,f1482,f1741]) ).

fof(f1716,plain,
    ( null_class = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_85
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1484,f1702]) ).

fof(f1739,plain,
    ( spl0_101
    | ~ spl0_95
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1729,f1700,f1627,f1736]) ).

fof(f1627,plain,
    ( spl0_95
  <=> unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1729,plain,
    ( unordered_pair(unordered_pair(unordered_pair(null_class,null_class),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))
    | ~ spl0_95
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1629,f1702]) ).

fof(f1629,plain,
    ( unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f1734,plain,
    ( spl0_100
    | ~ spl0_25
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1708,f1700,f619,f1731]) ).

fof(f619,plain,
    ( spl0_25
  <=> member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1708,plain,
    ( member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(null_class,null_class))))
    | ~ spl0_25
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f621,f1702]) ).

fof(f621,plain,
    ( member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1703,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1679,f984,f1700,f1696]) ).

fof(f1679,plain,
    ( null_class = v
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(v,v),universal_class)),universal_class))))))),v)
    | ~ spl0_52 ),
    inference(resolution,[],[f194,f985]) ).

fof(f1694,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1678,f1116,f1691,f1687]) ).

fof(f1687,plain,
    ( spl0_96
  <=> null_class = u ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1691,plain,
    ( spl0_97
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(u,u),universal_class)),universal_class))))))),u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1678,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(u,u),universal_class)),universal_class))))))),u)
    | null_class = u
    | ~ spl0_70 ),
    inference(resolution,[],[f194,f1118]) ).

fof(f1633,plain,
    ( spl0_95
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1624,f1574,f1627]) ).

fof(f1624,plain,
    ( unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_89 ),
    inference(superposition,[],[f108,f1576]) ).

fof(f1632,plain,
    ( spl0_95
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1619,f1574,f1627]) ).

fof(f1619,plain,
    ( unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_89 ),
    inference(superposition,[],[f1576,f108]) ).

fof(f1631,plain,
    ( spl0_95
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1623,f1574,f1627]) ).

fof(f1623,plain,
    ( unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_89 ),
    inference(superposition,[],[f108,f1576]) ).

fof(f1630,plain,
    ( spl0_95
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1620,f1574,f1627]) ).

fof(f1620,plain,
    ( unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_89 ),
    inference(superposition,[],[f1576,f108]) ).

fof(f1615,plain,
    ( ~ spl0_94
    | spl0_69
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1614,f1482,f1108,f1610]) ).

fof(f1108,plain,
    ( spl0_69
  <=> second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1614,plain,
    ( v != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | spl0_69
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1109,f1484]) ).

fof(f1109,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | spl0_69 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1613,plain,
    ( spl0_94
    | ~ spl0_69
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1608,f1482,f1108,f1610]) ).

fof(f1608,plain,
    ( v = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_69
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1110,f1484]) ).

fof(f1110,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1607,plain,
    ( spl0_93
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1602,f1482,f988,f1604]) ).

fof(f988,plain,
    ( spl0_53
  <=> member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1602,plain,
    ( member(v,unordered_pair(v,v))
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f990,f1484]) ).

fof(f990,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v))
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1600,plain,
    ( spl0_92
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1586,f1103,f619,f1597]) ).

fof(f1586,plain,
    ( member(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f621,f1105]) ).

fof(f1105,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1595,plain,
    ( spl0_91
    | ~ spl0_24
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1585,f1103,f614,f1592]) ).

fof(f1585,plain,
    ( subclass(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_24
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f616,f1105]) ).

fof(f1583,plain,
    ( spl0_90
    | ~ spl0_26
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1578,f1482,f624,f1580]) ).

fof(f624,plain,
    ( spl0_26
  <=> subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1578,plain,
    ( subclass(unordered_pair(unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_26
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1562,f108]) ).

fof(f1562,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v)),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_26
    | ~ spl0_85 ),
    inference(backward_demodulation,[],[f626,f1484]) ).

fof(f626,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f1577,plain,
    ( spl0_89
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1572,f1482,f358,f1574]) ).

fof(f1572,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(v,v),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1559,f108]) ).

fof(f1559,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v)))
    | ~ spl0_15
    | ~ spl0_85 ),
    inference(backward_demodulation,[],[f360,f1484]) ).

fof(f1571,plain,
    ( spl0_88
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1565,f1482,f993,f1568]) ).

fof(f1568,plain,
    ( spl0_88
  <=> member(v,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f993,plain,
    ( spl0_54
  <=> member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1565,plain,
    ( member(v,cross_product(universal_class,universal_class))
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(backward_demodulation,[],[f995,f1484]) ).

fof(f995,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f1558,plain,
    ( spl0_87
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1548,f975,f1555]) ).

fof(f1548,plain,
    ( null_class = unordered_pair(u,u)
    | ~ spl0_51 ),
    inference(resolution,[],[f976,f207]) ).

fof(f976,plain,
    ( ! [X1] : ~ member(u,X1)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1553,plain,
    ( ~ spl0_51
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(resolution,[],[f976,f1118]) ).

fof(f1529,plain,
    ( spl0_76
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1527,f291,f1331]) ).

fof(f1331,plain,
    ( spl0_76
  <=> ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1527,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) )
    | ~ spl0_7 ),
    inference(resolution,[],[f293,f256]) ).

fof(f1490,plain,
    ( spl0_28
    | spl0_86
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1357,f802,f1487,f645]) ).

fof(f645,plain,
    ( spl0_28
  <=> universal_class = null_class ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1487,plain,
    ( spl0_86
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1357,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))))),universal_class)
    | universal_class = null_class
    | ~ spl0_43 ),
    inference(resolution,[],[f194,f803]) ).

fof(f803,plain,
    ( member(universal_class,universal_class)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f1485,plain,
    ( spl0_85
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1475,f988,f1482]) ).

fof(f1475,plain,
    ( v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_53 ),
    inference(resolution,[],[f990,f213]) ).

fof(f1480,plain,
    ( spl0_84
    | spl0_68
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1473,f988,f1103,f1477]) ).

fof(f1477,plain,
    ( spl0_84
  <=> ! [X1] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X1,unordered_pair(v,v))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1473,plain,
    ( ! [X0] :
        ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X0,unordered_pair(v,v))) )
    | ~ spl0_53 ),
    inference(resolution,[],[f990,f349]) ).

fof(f1479,plain,
    ( spl0_69
    | spl0_84
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1474,f988,f1477,f1108]) ).

fof(f1474,plain,
    ( ! [X1] :
        ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1)
        | second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X1,unordered_pair(v,v))) )
    | ~ spl0_53 ),
    inference(resolution,[],[f990,f345]) ).

fof(f1407,plain,
    ( spl0_76
    | ~ spl0_12
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1406,f1373,f321,f1331]) ).

fof(f321,plain,
    ( spl0_12
  <=> member(omega,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1373,plain,
    ( spl0_79
  <=> null_class = omega ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1406,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | null_class = X0 )
    | ~ spl0_12
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f1383,f1375]) ).

fof(f1375,plain,
    ( null_class = omega
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1383,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | omega = X0 )
    | ~ spl0_12
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f1340,f1375]) ).

fof(f1340,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(omega,omega),unordered_pair(omega,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | omega = X0 )
    | ~ spl0_12 ),
    inference(resolution,[],[f323,f256]) ).

fof(f323,plain,
    ( member(omega,universal_class)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1404,plain,
    ( spl0_83
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1380,f1373,f370,f1401]) ).

fof(f1401,plain,
    ( spl0_83
  <=> member(null_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1380,plain,
    ( member(null_class,null_class)
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f372,f1375]) ).

fof(f1399,plain,
    ( spl0_82
    | ~ spl0_19
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1381,f1373,f535,f1396]) ).

fof(f1396,plain,
    ( spl0_82
  <=> subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(null_class,universal_class)),universal_class)))),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f535,plain,
    ( spl0_19
  <=> subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))),omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1381,plain,
    ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(null_class,universal_class)),universal_class)))),null_class)
    | ~ spl0_19
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f537,f1375]) ).

fof(f537,plain,
    ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))),omega)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1394,plain,
    ( spl0_81
    | ~ spl0_36
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1382,f1373,f736,f1391]) ).

fof(f1391,plain,
    ( spl0_81
  <=> member(universal_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f736,plain,
    ( spl0_36
  <=> member(universal_class,omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1382,plain,
    ( member(universal_class,null_class)
    | ~ spl0_36
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f738,f1375]) ).

fof(f738,plain,
    ( member(universal_class,omega)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f1389,plain,
    ( spl0_80
    | ~ spl0_4
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1378,f1373,f275,f1386]) ).

fof(f1386,plain,
    ( spl0_80
  <=> inductive(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f275,plain,
    ( spl0_4
  <=> inductive(omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1378,plain,
    ( inductive(null_class)
    | ~ spl0_4
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f277,f1375]) ).

fof(f277,plain,
    ( inductive(omega)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f1376,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1361,f321,f1373,f1369]) ).

fof(f1369,plain,
    ( spl0_78
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(omega,omega),universal_class)),universal_class))))))),omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1361,plain,
    ( null_class = omega
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(omega,omega),universal_class)),universal_class))))))),omega)
    | ~ spl0_12 ),
    inference(resolution,[],[f194,f323]) ).

fof(f1339,plain,
    ( spl0_28
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1313,f1337,f645]) ).

fof(f1337,plain,
    ( spl0_77
  <=> ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),unordered_pair(not_subclass_element(universal_class,null_class),unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | not_subclass_element(universal_class,null_class) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1313,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),unordered_pair(not_subclass_element(universal_class,null_class),unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
      | not_subclass_element(universal_class,null_class) = X0
      | universal_class = null_class ),
    inference(resolution,[],[f106,f256]) ).

fof(f106,axiom,
    ! [X4] :
      ( member(not_subclass_element(X4,null_class),X4)
      | null_class = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).

fof(f1333,plain,
    ( spl0_76
    | spl0_28
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1329,f654,f645,f1331]) ).

fof(f654,plain,
    ( spl0_30
  <=> null_class = not_subclass_element(universal_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1329,plain,
    ( ! [X2,X0,X1] :
        ( universal_class = null_class
        | unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | null_class = X0 )
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f1328,f656]) ).

fof(f656,plain,
    ( null_class = not_subclass_element(universal_class,null_class)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f1328,plain,
    ( ! [X2,X0,X1] :
        ( universal_class = null_class
        | unordered_pair(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),unordered_pair(not_subclass_element(universal_class,null_class),unordered_pair(X2,X2))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
        | null_class = X0 )
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f1313,f656]) ).

fof(f1293,plain,
    ( ~ spl0_75
    | ~ spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f1288,f658,f654,f1290]) ).

fof(f1290,plain,
    ( spl0_75
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(null_class,null_class),universal_class)),universal_class))))))),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f658,plain,
    ( spl0_31
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),universal_class)),universal_class))))))),not_subclass_element(universal_class,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1288,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(null_class,null_class),universal_class)),universal_class))))))),null_class)
    | ~ spl0_30
    | spl0_31 ),
    inference(backward_demodulation,[],[f659,f656]) ).

fof(f659,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),universal_class)),universal_class))))))),not_subclass_element(universal_class,null_class))
    | spl0_31 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1287,plain,
    ~ spl0_28,
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1279,plain,
    ( $false
    | ~ spl0_28 ),
    inference(resolution,[],[f1159,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f1159,plain,
    ( ! [X4] : ~ member(X4,universal_class)
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f103,f647]) ).

fof(f647,plain,
    ( universal_class = null_class
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f103,axiom,
    ! [X4] : ~ member(X4,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(f1240,plain,
    ( spl0_36
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1180,f645,f370,f736]) ).

fof(f1180,plain,
    ( member(universal_class,omega)
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f372,f647]) ).

fof(f1155,plain,
    ( spl0_28
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1147,f1153,f645]) ).

fof(f1153,plain,
    ( spl0_74
  <=> ! [X34,X36,X35] :
        ( regular(universal_class) = X34
        | unordered_pair(unordered_pair(X36,X36),unordered_pair(X36,unordered_pair(regular(universal_class),regular(universal_class)))) != unordered_pair(unordered_pair(X35,X35),unordered_pair(X35,unordered_pair(X34,X34))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1147,plain,
    ! [X36,X34,X35] :
      ( regular(universal_class) = X34
      | universal_class = null_class
      | unordered_pair(unordered_pair(X36,X36),unordered_pair(X36,unordered_pair(regular(universal_class),regular(universal_class)))) != unordered_pair(unordered_pair(X35,X35),unordered_pair(X35,unordered_pair(X34,X34))) ),
    inference(resolution,[],[f236,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).

fof(f1151,plain,
    ( spl0_73
    | spl0_28 ),
    inference(avatar_split_clause,[],[f1144,f645,f1149]) ).

fof(f1149,plain,
    ( spl0_73
  <=> ! [X25,X27,X26] :
        ( not_subclass_element(universal_class,null_class) = X25
        | unordered_pair(unordered_pair(X27,X27),unordered_pair(X27,unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)))) != unordered_pair(unordered_pair(X26,X26),unordered_pair(X26,unordered_pair(X25,X25))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1144,plain,
    ! [X26,X27,X25] :
      ( universal_class = null_class
      | not_subclass_element(universal_class,null_class) = X25
      | unordered_pair(unordered_pair(X27,X27),unordered_pair(X27,unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)))) != unordered_pair(unordered_pair(X26,X26),unordered_pair(X26,unordered_pair(X25,X25))) ),
    inference(resolution,[],[f236,f106]) ).

fof(f1133,plain,
    ( spl0_67
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f967,f358,f286,f1099]) ).

fof(f1099,plain,
    ( spl0_67
  <=> member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f967,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f607,f288]) ).

fof(f607,plain,
    ( ! [X2,X3] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X2,X3))
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X3) )
    | ~ spl0_15 ),
    inference(superposition,[],[f195,f360]) ).

fof(f1131,plain,
    ( spl0_2
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1127,f1129,f266]) ).

fof(f266,plain,
    ( spl0_2
  <=> ! [X1] : member(X1,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1129,plain,
    ( spl0_72
  <=> ! [X3] : first(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,null_class))) = unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1127,plain,
    ! [X2,X3] :
      ( first(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,null_class))) = unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,null_class))
      | member(X2,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f342,f207]) ).

fof(f342,plain,
    ! [X2,X3] :
      ( unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))) = first(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))))
      | member(X2,universal_class) ),
    inference(resolution,[],[f195,f296]) ).

fof(f1126,plain,
    ( spl0_71
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1122,f266,f1124]) ).

fof(f1124,plain,
    ( spl0_71
  <=> ! [X1] : unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)) = second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1122,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)) = second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class))) ),
    inference(backward_subsumption_demodulation,[],[f341,f207]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))
      | member(X0,universal_class) ),
    inference(resolution,[],[f195,f307]) ).

fof(f1120,plain,
    ( spl0_7
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f878,f587,f291]) ).

fof(f587,plain,
    ( spl0_23
  <=> inductive(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f878,plain,
    ( member(null_class,universal_class)
    | ~ spl0_23 ),
    inference(resolution,[],[f47,f589]) ).

fof(f589,plain,
    ( inductive(universal_class)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ inductive(X0)
      | member(null_class,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive1) ).

fof(f1119,plain,
    ( spl0_70
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f337,f286,f1116]) ).

fof(f337,plain,
    ( member(u,universal_class)
    | ~ spl0_6 ),
    inference(resolution,[],[f176,f288]) ).

fof(f1114,plain,
    ( spl0_67
    | spl0_68
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f491,f286,f1103,f1099]) ).

fof(f491,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_6 ),
    inference(resolution,[],[f350,f288]) ).

fof(f1113,plain,
    ( spl0_52
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f340,f286,f984]) ).

fof(f340,plain,
    ( member(v,universal_class)
    | ~ spl0_6 ),
    inference(resolution,[],[f195,f288]) ).

fof(f1112,plain,
    ( spl0_69
    | spl0_66
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1011,f358,f1094,f1108]) ).

fof(f1011,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_15 ),
    inference(resolution,[],[f608,f307]) ).

fof(f1111,plain,
    ( spl0_67
    | spl0_69
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f968,f358,f1108,f1099]) ).

fof(f968,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_15 ),
    inference(resolution,[],[f607,f307]) ).

fof(f1106,plain,
    ( spl0_67
    | spl0_68
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f969,f358,f1103,f1099]) ).

fof(f969,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_15 ),
    inference(resolution,[],[f607,f296]) ).

fof(f1097,plain,
    ( spl0_66
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1010,f358,f286,f1094]) ).

fof(f1010,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f608,f288]) ).

fof(f1092,plain,
    ( spl0_55
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1087,f1079,f997]) ).

fof(f997,plain,
    ( spl0_55
  <=> v = second(v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1087,plain,
    ( v = second(v)
    | ~ spl0_64 ),
    inference(resolution,[],[f1080,f307]) ).

fof(f1091,plain,
    ( spl0_57
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1088,f1079,f1006]) ).

fof(f1006,plain,
    ( spl0_57
  <=> v = first(v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1088,plain,
    ( v = first(v)
    | ~ spl0_64 ),
    inference(resolution,[],[f1080,f296]) ).

fof(f1090,plain,
    ( ~ spl0_2
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_64 ),
    inference(resolution,[],[f1080,f267]) ).

fof(f267,plain,
    ( ! [X1] : member(X1,universal_class)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1084,plain,
    ( spl0_64
    | spl0_65
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1013,f358,f1082,f1079]) ).

fof(f1013,plain,
    ( ! [X0,X1] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(v,X1)
        | ~ member(u,X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f608,f215]) ).

fof(f1077,plain,
    ( spl0_63
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1065,f975,f1074]) ).

fof(f1074,plain,
    ( spl0_63
  <=> u = first(u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1065,plain,
    ( u = first(u)
    | ~ spl0_51 ),
    inference(resolution,[],[f976,f296]) ).

fof(f1072,plain,
    ( spl0_62
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1064,f975,f1069]) ).

fof(f1069,plain,
    ( spl0_62
  <=> u = second(u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1064,plain,
    ( u = second(u)
    | ~ spl0_51 ),
    inference(resolution,[],[f976,f307]) ).

fof(f1067,plain,
    ( ~ spl0_2
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1062,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_51 ),
    inference(resolution,[],[f976,f267]) ).

fof(f1051,plain,
    ( ~ spl0_60
    | spl0_61
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1032,f315,f1048,f1044]) ).

fof(f1044,plain,
    ( spl0_60
  <=> subclass(cross_product(universal_class,universal_class),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1048,plain,
    ( spl0_61
  <=> cross_product(universal_class,universal_class) = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f315,plain,
    ( spl0_11
  <=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1032,plain,
    ( cross_product(universal_class,universal_class) = successor_relation
    | ~ subclass(cross_product(universal_class,universal_class),successor_relation)
    | ~ spl0_11 ),
    inference(resolution,[],[f7,f317]) ).

fof(f317,plain,
    ( subclass(successor_relation,cross_product(universal_class,universal_class))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f1042,plain,
    ( spl0_58
    | ~ spl0_59
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1030,f298,f1039,f1035]) ).

fof(f1035,plain,
    ( spl0_58
  <=> element_relation = cross_product(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1039,plain,
    ( spl0_59
  <=> subclass(cross_product(universal_class,universal_class),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f298,plain,
    ( spl0_8
  <=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1030,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),element_relation)
    | element_relation = cross_product(universal_class,universal_class)
    | ~ spl0_8 ),
    inference(resolution,[],[f7,f300]) ).

fof(f300,plain,
    ( subclass(element_relation,cross_product(universal_class,universal_class))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1009,plain,
    ( spl0_54
    | spl0_57
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f981,f972,f1006,f993]) ).

fof(f972,plain,
    ( spl0_50
  <=> ! [X0] :
        ( ~ member(v,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f981,plain,
    ( v = first(v)
    | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | ~ spl0_50 ),
    inference(resolution,[],[f973,f296]) ).

fof(f973,plain,
    ( ! [X0] :
        ( ~ member(v,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f1004,plain,
    ( spl0_56
    | ~ spl0_52
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f982,f972,f984,f1002]) ).

fof(f982,plain,
    ( ! [X0] :
        ( ~ member(v,universal_class)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X0))
        | null_class = intersection(X0,cross_product(unordered_pair(v,v),universal_class)) )
    | ~ spl0_50 ),
    inference(resolution,[],[f973,f171]) ).

fof(f1000,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f980,f972,f997,f993]) ).

fof(f980,plain,
    ( v = second(v)
    | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | ~ spl0_50 ),
    inference(resolution,[],[f973,f307]) ).

fof(f991,plain,
    ( ~ spl0_52
    | spl0_53
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f979,f972,f988,f984]) ).

fof(f979,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v))
    | ~ member(v,universal_class)
    | ~ spl0_50 ),
    inference(resolution,[],[f973,f247]) ).

fof(f977,plain,
    ( spl0_50
    | spl0_51
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f970,f358,f975,f972]) ).

fof(f970,plain,
    ( ! [X0,X1] :
        ( ~ member(u,X1)
        | ~ member(v,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f607,f215]) ).

fof(f928,plain,
    ( ~ spl0_49
    | ~ spl0_37
    | spl0_40 ),
    inference(avatar_split_clause,[],[f908,f776,f760,f925]) ).

fof(f925,plain,
    ( spl0_49
  <=> universal_class = unordered_pair(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f760,plain,
    ( spl0_37
  <=> universal_class = first(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f776,plain,
    ( spl0_40
  <=> universal_class = unordered_pair(first(universal_class),first(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f908,plain,
    ( universal_class != unordered_pair(universal_class,universal_class)
    | ~ spl0_37
    | spl0_40 ),
    inference(backward_demodulation,[],[f778,f762]) ).

fof(f762,plain,
    ( universal_class = first(universal_class)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f778,plain,
    ( universal_class != unordered_pair(first(universal_class),first(universal_class))
    | spl0_40 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f923,plain,
    ( ~ spl0_48
    | spl0_32
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f907,f760,f663,f920]) ).

fof(f663,plain,
    ( spl0_32
  <=> null_class = unordered_pair(first(universal_class),first(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f907,plain,
    ( null_class != unordered_pair(universal_class,universal_class)
    | spl0_32
    | ~ spl0_37 ),
    inference(backward_demodulation,[],[f664,f762]) ).

fof(f664,plain,
    ( null_class != unordered_pair(first(universal_class),first(universal_class))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f918,plain,
    ( spl0_47
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f905,f760,f667,f915]) ).

fof(f915,plain,
    ( spl0_47
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,universal_class)),universal_class)),universal_class))))))),unordered_pair(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f667,plain,
    ( spl0_33
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),first(universal_class))),universal_class)),universal_class))))))),unordered_pair(first(universal_class),first(universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f905,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,universal_class)),universal_class)),universal_class))))))),unordered_pair(universal_class,universal_class))
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(backward_demodulation,[],[f669,f762]) ).

fof(f669,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),first(universal_class))),universal_class)),universal_class))))))),unordered_pair(first(universal_class),first(universal_class)))
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f913,plain,
    ( ~ spl0_46
    | ~ spl0_37
    | spl0_44 ),
    inference(avatar_split_clause,[],[f906,f842,f760,f910]) ).

fof(f910,plain,
    ( spl0_46
  <=> universal_class = unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f842,plain,
    ( spl0_44
  <=> universal_class = unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),unordered_pair(universal_class,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f906,plain,
    ( universal_class != unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class)))
    | ~ spl0_37
    | spl0_44 ),
    inference(backward_demodulation,[],[f843,f762]) ).

fof(f843,plain,
    ( universal_class != unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),unordered_pair(universal_class,universal_class)))
    | spl0_44 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f904,plain,
    ( spl0_37
    | spl0_39 ),
    inference(avatar_split_clause,[],[f902,f770,f760]) ).

fof(f770,plain,
    ( spl0_39
  <=> member(universal_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f902,plain,
    ( universal_class = first(universal_class)
    | spl0_39 ),
    inference(resolution,[],[f772,f296]) ).

fof(f772,plain,
    ( ~ member(universal_class,cross_product(universal_class,universal_class))
    | spl0_39 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f903,plain,
    ( spl0_34
    | spl0_39 ),
    inference(avatar_split_clause,[],[f901,f770,f671]) ).

fof(f671,plain,
    ( spl0_34
  <=> universal_class = second(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f901,plain,
    ( universal_class = second(universal_class)
    | spl0_39 ),
    inference(resolution,[],[f772,f307]) ).

fof(f849,plain,
    ( spl0_37
    | spl0_45
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f837,f671,f847,f760]) ).

fof(f847,plain,
    ( spl0_45
  <=> ! [X0,X1] :
        ( ~ member(first(universal_class),X1)
        | ~ member(universal_class,X0)
        | member(universal_class,cross_product(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f837,plain,
    ( ! [X0,X1] :
        ( ~ member(first(universal_class),X1)
        | member(universal_class,cross_product(X1,X0))
        | ~ member(universal_class,X0)
        | universal_class = first(universal_class) )
    | ~ spl0_34 ),
    inference(superposition,[],[f349,f673]) ).

fof(f673,plain,
    ( universal_class = second(universal_class)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f845,plain,
    ( spl0_37
    | spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f839,f671,f842,f760]) ).

fof(f839,plain,
    ( universal_class = unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),unordered_pair(universal_class,universal_class)))
    | universal_class = first(universal_class)
    | ~ spl0_34 ),
    inference(superposition,[],[f253,f673]) ).

fof(f807,plain,
    ( ~ spl0_2
    | spl0_43 ),
    inference(avatar_contradiction_clause,[],[f806]) ).

fof(f806,plain,
    ( $false
    | ~ spl0_2
    | spl0_43 ),
    inference(resolution,[],[f804,f267]) ).

fof(f805,plain,
    ( ~ spl0_43
    | spl0_38 ),
    inference(avatar_split_clause,[],[f800,f765,f802]) ).

fof(f765,plain,
    ( spl0_38
  <=> member(universal_class,unordered_pair(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f800,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_38 ),
    inference(resolution,[],[f766,f247]) ).

fof(f766,plain,
    ( ~ member(universal_class,unordered_pair(universal_class,universal_class))
    | spl0_38 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f791,plain,
    ( ~ spl0_42
    | spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f786,f645,f641,f788]) ).

fof(f788,plain,
    ( spl0_42
  <=> universal_class = regular(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f641,plain,
    ( spl0_27
  <=> null_class = regular(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f786,plain,
    ( universal_class != regular(universal_class)
    | spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f642,f647]) ).

fof(f642,plain,
    ( null_class != regular(universal_class)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f785,plain,
    ( ~ spl0_41
    | ~ spl0_28
    | spl0_30 ),
    inference(avatar_split_clause,[],[f780,f654,f645,f782]) ).

fof(f782,plain,
    ( spl0_41
  <=> universal_class = not_subclass_element(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f780,plain,
    ( universal_class != not_subclass_element(universal_class,universal_class)
    | ~ spl0_28
    | spl0_30 ),
    inference(forward_demodulation,[],[f655,f647]) ).

fof(f655,plain,
    ( null_class != not_subclass_element(universal_class,null_class)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f779,plain,
    ( ~ spl0_40
    | ~ spl0_28
    | spl0_32 ),
    inference(avatar_split_clause,[],[f774,f663,f645,f776]) ).

fof(f774,plain,
    ( universal_class != unordered_pair(first(universal_class),first(universal_class))
    | ~ spl0_28
    | spl0_32 ),
    inference(forward_demodulation,[],[f664,f647]) ).

fof(f773,plain,
    ( ~ spl0_39
    | spl0_20
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f722,f645,f574,f770]) ).

fof(f574,plain,
    ( spl0_20
  <=> member(null_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f722,plain,
    ( ~ member(universal_class,cross_product(universal_class,universal_class))
    | spl0_20
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f576,f647]) ).

fof(f576,plain,
    ( ~ member(null_class,cross_product(universal_class,universal_class))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f768,plain,
    ( spl0_38
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f695,f645,f309,f765]) ).

fof(f695,plain,
    ( member(universal_class,unordered_pair(universal_class,universal_class))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f311,f647]) ).

fof(f763,plain,
    ( spl0_37
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f701,f645,f403,f760]) ).

fof(f403,plain,
    ( spl0_18
  <=> null_class = first(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f701,plain,
    ( universal_class = first(universal_class)
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f405,f647]) ).

fof(f405,plain,
    ( null_class = first(null_class)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f756,plain,
    ( spl0_34
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f700,f645,f395,f671]) ).

fof(f395,plain,
    ( spl0_17
  <=> null_class = second(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f700,plain,
    ( universal_class = second(universal_class)
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f397,f647]) ).

fof(f397,plain,
    ( null_class = second(null_class)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f739,plain,
    ( spl0_36
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f697,f645,f370,f736]) ).

fof(f697,plain,
    ( member(universal_class,omega)
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f372,f647]) ).

fof(f731,plain,
    ( ~ spl0_35
    | ~ spl0_28
    | spl0_31 ),
    inference(avatar_split_clause,[],[f726,f658,f645,f728]) ).

fof(f728,plain,
    ( spl0_35
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(not_subclass_element(universal_class,universal_class),not_subclass_element(universal_class,universal_class)),universal_class)),universal_class))))))),not_subclass_element(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f726,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(not_subclass_element(universal_class,universal_class),not_subclass_element(universal_class,universal_class)),universal_class)),universal_class))))))),not_subclass_element(universal_class,universal_class))
    | ~ spl0_28
    | spl0_31 ),
    inference(backward_demodulation,[],[f659,f647]) ).

fof(f674,plain,
    ( spl0_32
    | spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f638,f671,f667,f663]) ).

fof(f638,plain,
    ( universal_class = second(universal_class)
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),first(universal_class))),universal_class)),universal_class))))))),unordered_pair(first(universal_class),first(universal_class)))
    | null_class = unordered_pair(first(universal_class),first(universal_class)) ),
    inference(resolution,[],[f194,f348]) ).

fof(f348,plain,
    ! [X9] :
      ( member(unordered_pair(first(X9),first(X9)),X9)
      | second(X9) = X9 ),
    inference(superposition,[],[f252,f182]) ).

fof(f661,plain,
    ( spl0_28
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f636,f658,f654,f645]) ).

fof(f636,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)),universal_class)),universal_class))))))),not_subclass_element(universal_class,null_class))
    | null_class = not_subclass_element(universal_class,null_class)
    | universal_class = null_class ),
    inference(resolution,[],[f194,f106]) ).

fof(f652,plain,
    ( spl0_27
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f639,f649,f645,f641]) ).

fof(f649,plain,
    ( spl0_29
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(universal_class),regular(universal_class)),universal_class)),universal_class))))))),regular(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f639,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(universal_class),regular(universal_class)),universal_class)),universal_class))))))),regular(universal_class))
    | universal_class = null_class
    | null_class = regular(universal_class) ),
    inference(resolution,[],[f194,f66]) ).

fof(f627,plain,
    ( spl0_26
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f611,f358,f624]) ).

fof(f611,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_15 ),
    inference(superposition,[],[f175,f360]) ).

fof(f622,plain,
    ( spl0_25
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f609,f358,f619]) ).

fof(f609,plain,
    ( member(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_15 ),
    inference(superposition,[],[f252,f360]) ).

fof(f617,plain,
    ( spl0_24
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f610,f358,f614]) ).

fof(f610,plain,
    ( subclass(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))),unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_15 ),
    inference(superposition,[],[f223,f360]) ).

fof(f590,plain,
    ( spl0_23
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f571,f291,f587]) ).

fof(f571,plain,
    ( ~ member(null_class,universal_class)
    | inductive(universal_class) ),
    inference(resolution,[],[f197,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f197,plain,
    ! [X0] :
      ( ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
      | inductive(X0)
      | ~ member(null_class,X0) ),
    inference(definition_unfolding,[],[f49,f162]) ).

fof(f49,axiom,
    ! [X0] :
      ( inductive(X0)
      | ~ member(null_class,X0)
      | ~ subclass(image(successor_relation,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive3) ).

fof(f585,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f572,f582,f578,f574]) ).

fof(f578,plain,
    ( spl0_21
  <=> inductive(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f582,plain,
    ( spl0_22
  <=> function(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f572,plain,
    ( ~ function(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class)))))
    | inductive(cross_product(universal_class,universal_class))
    | ~ member(null_class,cross_product(universal_class,universal_class)) ),
    inference(resolution,[],[f197,f62]) ).

fof(f62,axiom,
    ! [X8] :
      ( subclass(X8,cross_product(universal_class,universal_class))
      | ~ function(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',function1) ).

fof(f538,plain,
    ( spl0_19
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f533,f275,f535]) ).

fof(f533,plain,
    ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))),omega)
    | ~ spl0_4 ),
    inference(resolution,[],[f237,f277]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0) ),
    inference(definition_unfolding,[],[f48,f162]) ).

fof(f48,axiom,
    ! [X0] :
      ( subclass(image(successor_relation,X0),X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive2) ).

fof(f406,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f399,f403]) ).

fof(f399,plain,
    null_class = first(null_class),
    inference(resolution,[],[f352,f103]) ).

fof(f352,plain,
    ! [X10] :
      ( member(unordered_pair(first(X10),first(X10)),X10)
      | first(X10) = X10 ),
    inference(superposition,[],[f252,f253]) ).

fof(f398,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f391,f395]) ).

fof(f391,plain,
    null_class = second(null_class),
    inference(resolution,[],[f348,f103]) ).

fof(f373,plain,
    ( spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f368,f275,f370]) ).

fof(f368,plain,
    ( member(null_class,omega)
    | ~ spl0_4 ),
    inference(resolution,[],[f47,f277]) ).

fof(f361,plain,
    ( spl0_15
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f353,f286,f358]) ).

fof(f353,plain,
    ( unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))),unordered_pair(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))))) = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | ~ spl0_6 ),
    inference(resolution,[],[f239,f288]) ).

fof(f334,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f69,f331]) ).

fof(f331,plain,
    ( spl0_14
  <=> function(choice) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f69,axiom,
    function(choice),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',choice1) ).

fof(f329,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f177,f326]) ).

fof(f326,plain,
    ( spl0_13
  <=> identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f177,plain,
    identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation),
    inference(definition_unfolding,[],[f75,f38]) ).

fof(f75,axiom,
    identity_relation = intersection(inverse(subset_relation),subset_relation),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_relation) ).

fof(f324,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f52,f321]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).

fof(f318,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f44,f315]) ).

fof(f44,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_relation1) ).

fof(f312,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f243,f309]) ).

fof(f243,plain,
    member(null_class,unordered_pair(null_class,null_class)),
    inference(definition_unfolding,[],[f124,f12]) ).

fof(f124,axiom,
    member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_in_its_singleton) ).

fof(f306,plain,
    ~ spl0_9,
    inference(avatar_split_clause,[],[f173,f303]) ).

fof(f173,plain,
    u != first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),
    inference(definition_unfolding,[],[f159,f164]) ).

fof(f159,axiom,
    u != first(ordered_pair(u,v)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_2) ).

fof(f301,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f18,f298]) ).

fof(f18,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation1) ).

fof(f294,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f107,f291]) ).

fof(f107,axiom,
    member(null_class,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_a_set) ).

fof(f289,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f184,f286]) ).

fof(f184,plain,
    member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,universal_class)),
    inference(definition_unfolding,[],[f158,f164]) ).

fof(f158,axiom,
    member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_1) ).

fof(f284,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f280,f266,f282]) ).

fof(f282,plain,
    ( spl0_5
  <=> ! [X2,X0,X1] : ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,null_class)),cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1] :
      ( member(X3,universal_class)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,null_class)),cross_product(X0,X1)) ),
    inference(forward_subsumption_demodulation,[],[f218,f207]) ).

fof(f218,plain,
    ! [X2,X3,X0,X1] :
      ( member(X3,universal_class)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f95,f164]) ).

fof(f95,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product) ).

fof(f278,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f50,f275]) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive1) ).

fof(f273,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f174,f270]) ).

fof(f270,plain,
    ( spl0_3
  <=> subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f174,plain,
    subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),
    inference(definition_unfolding,[],[f74,f38]) ).

fof(f74,axiom,
    intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_relation) ).

fof(f268,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f261,f266,f263]) ).

fof(f263,plain,
    ( spl0_1
  <=> ! [X0] :
        ( unordered_pair(null_class,unordered_pair(null_class,null_class)) = unordered_pair(null_class,unordered_pair(X0,null_class))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | unordered_pair(null_class,unordered_pair(null_class,null_class)) = unordered_pair(null_class,unordered_pair(X0,null_class))
      | member(X0,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f260,f207]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)) = unordered_pair(null_class,unordered_pair(null_class,null_class))
      | member(X1,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f204,f207]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( unordered_pair(null_class,unordered_pair(null_class,null_class)) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
      | member(X0,universal_class)
      | member(X1,universal_class) ),
    inference(definition_unfolding,[],[f150,f164,f12]) ).

fof(f150,axiom,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | member(X1,universal_class)
      | ordered_pair(X0,X1) = unordered_pair(null_class,singleton(null_class)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_3_of_ordered_pair) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET020-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 13:04:57 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.45  % (23023)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48  % (23047)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.48  % (23039)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48  % (23031)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49  % (23024)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (23043)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50  % (23029)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (23031)Instruction limit reached!
% 0.20/0.50  % (23031)------------------------------
% 0.20/0.50  % (23031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23031)Termination reason: Unknown
% 0.20/0.50  % (23031)Termination phase: Property scanning
% 0.20/0.50  
% 0.20/0.50  % (23031)Memory used [KB]: 1023
% 0.20/0.50  % (23031)Time elapsed: 0.005 s
% 0.20/0.50  % (23031)Instructions burned: 4 (million)
% 0.20/0.50  % (23031)------------------------------
% 0.20/0.50  % (23031)------------------------------
% 0.20/0.51  % (23036)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (23035)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (23037)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (23033)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (23034)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (23046)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (23032)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (23026)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (23025)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (23038)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (23041)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (23028)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (23045)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (23048)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (23027)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (23030)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (23040)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (23030)Instruction limit reached!
% 0.20/0.54  % (23030)------------------------------
% 0.20/0.54  % (23030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23044)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (23049)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (23050)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (23052)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  % (23051)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.55  % (23030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55  % (23030)Termination reason: Unknown
% 1.52/0.55  % (23030)Termination phase: Saturation
% 1.52/0.55  
% 1.52/0.55  % (23030)Memory used [KB]: 5500
% 1.52/0.55  % (23030)Time elapsed: 0.006 s
% 1.52/0.55  % (23030)Instructions burned: 7 (million)
% 1.52/0.55  % (23030)------------------------------
% 1.52/0.55  % (23030)------------------------------
% 1.52/0.55  % (23042)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56  % (23025)Instruction limit reached!
% 1.52/0.56  % (23025)------------------------------
% 1.52/0.56  % (23025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57  % (23025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (23025)Termination reason: Unknown
% 1.71/0.57  % (23025)Termination phase: Saturation
% 1.71/0.57  
% 1.71/0.57  % (23025)Memory used [KB]: 1663
% 1.71/0.57  % (23025)Time elapsed: 0.164 s
% 1.71/0.57  % (23025)Instructions burned: 37 (million)
% 1.71/0.57  % (23025)------------------------------
% 1.71/0.57  % (23025)------------------------------
% 1.71/0.58  % (23033)Instruction limit reached!
% 1.71/0.58  % (23033)------------------------------
% 1.71/0.58  % (23033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (23029)Instruction limit reached!
% 1.71/0.59  % (23029)------------------------------
% 1.71/0.59  % (23029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (23029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (23029)Termination reason: Unknown
% 1.71/0.59  % (23029)Termination phase: Finite model building preprocessing
% 1.71/0.59  
% 1.71/0.59  % (23029)Memory used [KB]: 1918
% 1.71/0.59  % (23029)Time elapsed: 0.023 s
% 1.71/0.59  % (23029)Instructions burned: 51 (million)
% 1.71/0.59  % (23029)------------------------------
% 1.71/0.59  % (23029)------------------------------
% 1.71/0.59  % (23033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (23033)Termination reason: Unknown
% 1.71/0.59  % (23033)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (23033)Memory used [KB]: 6396
% 1.71/0.59  % (23033)Time elapsed: 0.175 s
% 1.71/0.59  % (23033)Instructions burned: 51 (million)
% 1.71/0.59  % (23033)------------------------------
% 1.71/0.59  % (23033)------------------------------
% 1.71/0.59  % (23024)Instruction limit reached!
% 1.71/0.59  % (23024)------------------------------
% 1.71/0.59  % (23024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (23024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (23024)Termination reason: Unknown
% 1.71/0.59  % (23024)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (23024)Memory used [KB]: 6396
% 1.71/0.59  % (23024)Time elapsed: 0.175 s
% 1.71/0.59  % (23024)Instructions burned: 51 (million)
% 1.71/0.59  % (23024)------------------------------
% 1.71/0.59  % (23024)------------------------------
% 1.71/0.59  % (23028)Instruction limit reached!
% 1.71/0.59  % (23028)------------------------------
% 1.71/0.59  % (23028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (23032)Instruction limit reached!
% 1.71/0.60  % (23032)------------------------------
% 1.71/0.60  % (23032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (23027)Instruction limit reached!
% 1.71/0.60  % (23027)------------------------------
% 1.71/0.60  % (23027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (23026)Instruction limit reached!
% 1.71/0.60  % (23026)------------------------------
% 1.71/0.60  % (23026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (23032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (23032)Termination reason: Unknown
% 1.71/0.61  % (23032)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (23032)Memory used [KB]: 1791
% 1.71/0.61  % (23032)Time elapsed: 0.208 s
% 1.71/0.61  % (23032)Instructions burned: 51 (million)
% 1.71/0.61  % (23032)------------------------------
% 1.71/0.61  % (23032)------------------------------
% 1.71/0.61  % (23037)Instruction limit reached!
% 1.71/0.61  % (23037)------------------------------
% 1.71/0.61  % (23037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (23040)Instruction limit reached!
% 1.71/0.61  % (23040)------------------------------
% 1.71/0.61  % (23040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (23026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (23026)Termination reason: Unknown
% 1.71/0.61  % (23026)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (23026)Memory used [KB]: 6652
% 1.71/0.61  % (23026)Time elapsed: 0.191 s
% 1.71/0.61  % (23026)Instructions burned: 53 (million)
% 1.71/0.61  % (23026)------------------------------
% 1.71/0.61  % (23026)------------------------------
% 1.71/0.61  % (23027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (23027)Termination reason: Unknown
% 1.71/0.61  % (23027)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (23027)Memory used [KB]: 6140
% 1.71/0.61  % (23027)Time elapsed: 0.181 s
% 1.71/0.61  % (23027)Instructions burned: 51 (million)
% 1.71/0.61  % (23027)------------------------------
% 1.71/0.61  % (23027)------------------------------
% 1.71/0.62  % (23040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62  % (23040)Termination reason: Unknown
% 1.71/0.62  % (23040)Termination phase: Finite model building preprocessing
% 1.71/0.62  
% 1.71/0.62  % (23040)Memory used [KB]: 1791
% 1.71/0.62  % (23040)Time elapsed: 0.025 s
% 1.71/0.62  % (23040)Instructions burned: 59 (million)
% 1.71/0.62  % (23040)------------------------------
% 1.71/0.62  % (23040)------------------------------
% 1.71/0.62  % (23028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62  % (23028)Termination reason: Unknown
% 1.71/0.62  % (23028)Termination phase: Saturation
% 1.71/0.62  
% 1.71/0.62  % (23028)Memory used [KB]: 6140
% 1.71/0.62  % (23028)Time elapsed: 0.202 s
% 1.71/0.62  % (23028)Instructions burned: 49 (million)
% 1.71/0.62  % (23028)------------------------------
% 1.71/0.62  % (23028)------------------------------
% 1.71/0.62  % (23114)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.71/0.63  % (23037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.63  % (23037)Termination reason: Unknown
% 1.71/0.63  % (23037)Termination phase: Saturation
% 1.71/0.63  
% 1.71/0.63  % (23037)Memory used [KB]: 6780
% 1.71/0.63  % (23037)Time elapsed: 0.039 s
% 1.71/0.63  % (23037)Instructions burned: 69 (million)
% 1.71/0.63  % (23037)------------------------------
% 1.71/0.63  % (23037)------------------------------
% 2.20/0.66  % (23039)Instruction limit reached!
% 2.20/0.66  % (23039)------------------------------
% 2.20/0.66  % (23039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (23039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (23039)Termination reason: Unknown
% 2.20/0.66  % (23039)Termination phase: Saturation
% 2.20/0.66  
% 2.20/0.66  % (23039)Memory used [KB]: 6780
% 2.20/0.66  % (23039)Time elapsed: 0.278 s
% 2.20/0.66  % (23039)Instructions burned: 99 (million)
% 2.20/0.66  % (23039)------------------------------
% 2.20/0.66  % (23039)------------------------------
% 2.35/0.67  % (23038)Instruction limit reached!
% 2.35/0.67  % (23038)------------------------------
% 2.35/0.67  % (23038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.67  % (23038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.67  % (23038)Termination reason: Unknown
% 2.35/0.67  % (23038)Termination phase: Saturation
% 2.35/0.67  
% 2.35/0.67  % (23038)Memory used [KB]: 2046
% 2.35/0.67  % (23038)Time elapsed: 0.227 s
% 2.35/0.67  % (23038)Instructions burned: 75 (million)
% 2.35/0.67  % (23038)------------------------------
% 2.35/0.67  % (23038)------------------------------
% 2.35/0.68  % (23152)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.35/0.68  % (23041)Instruction limit reached!
% 2.35/0.68  % (23041)------------------------------
% 2.35/0.68  % (23041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68  % (23041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68  % (23041)Termination reason: Unknown
% 2.35/0.68  % (23041)Termination phase: Saturation
% 2.35/0.68  
% 2.35/0.68  % (23041)Memory used [KB]: 6780
% 2.35/0.68  % (23041)Time elapsed: 0.267 s
% 2.35/0.68  % (23041)Instructions burned: 101 (million)
% 2.35/0.68  % (23041)------------------------------
% 2.35/0.68  % (23041)------------------------------
% 2.35/0.68  % (23036)Instruction limit reached!
% 2.35/0.68  % (23036)------------------------------
% 2.35/0.68  % (23036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68  % (23036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68  % (23036)Termination reason: Unknown
% 2.35/0.68  % (23036)Termination phase: Saturation
% 2.35/0.68  
% 2.35/0.68  % (23036)Memory used [KB]: 7164
% 2.35/0.68  % (23036)Time elapsed: 0.287 s
% 2.35/0.68  % (23036)Instructions burned: 99 (million)
% 2.35/0.68  % (23036)------------------------------
% 2.35/0.68  % (23036)------------------------------
% 2.35/0.68  % (23049)Instruction limit reached!
% 2.35/0.68  % (23049)------------------------------
% 2.35/0.68  % (23049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68  % (23049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68  % (23049)Termination reason: Unknown
% 2.35/0.68  % (23049)Termination phase: Saturation
% 2.35/0.68  
% 2.35/0.68  % (23049)Memory used [KB]: 6908
% 2.35/0.68  % (23049)Time elapsed: 0.037 s
% 2.35/0.68  % (23049)Instructions burned: 69 (million)
% 2.35/0.68  % (23049)------------------------------
% 2.35/0.68  % (23049)------------------------------
% 2.35/0.69  % (23042)Instruction limit reached!
% 2.35/0.69  % (23042)------------------------------
% 2.35/0.69  % (23042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69  % (23042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69  % (23042)Termination reason: Unknown
% 2.35/0.69  % (23042)Termination phase: Saturation
% 2.35/0.69  
% 2.35/0.69  % (23042)Memory used [KB]: 2430
% 2.35/0.69  % (23042)Time elapsed: 0.272 s
% 2.35/0.69  % (23042)Instructions burned: 100 (million)
% 2.35/0.69  % (23042)------------------------------
% 2.35/0.69  % (23042)------------------------------
% 2.35/0.70  % (23170)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.35/0.71  % (23177)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.35/0.71  % (23034)Instruction limit reached!
% 2.35/0.71  % (23034)------------------------------
% 2.35/0.71  % (23034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.71  % (23034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.71  % (23034)Termination reason: Unknown
% 2.35/0.71  % (23034)Termination phase: Saturation
% 2.35/0.71  
% 2.35/0.71  % (23034)Memory used [KB]: 7291
% 2.35/0.71  % (23034)Time elapsed: 0.301 s
% 2.35/0.71  % (23034)Instructions burned: 101 (million)
% 2.35/0.71  % (23034)------------------------------
% 2.35/0.71  % (23034)------------------------------
% 2.35/0.71  % (23035)Instruction limit reached!
% 2.35/0.71  % (23035)------------------------------
% 2.35/0.71  % (23035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.71  % (23035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.71  % (23035)Termination reason: Unknown
% 2.35/0.71  % (23035)Termination phase: Saturation
% 2.35/0.71  
% 2.35/0.71  % (23035)Memory used [KB]: 7036
% 2.35/0.71  % (23035)Time elapsed: 0.315 s
% 2.35/0.71  % (23035)Instructions burned: 102 (million)
% 2.35/0.71  % (23035)------------------------------
% 2.35/0.71  % (23035)------------------------------
% 2.35/0.72  % (23196)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.35/0.72  % (23179)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.63/0.72  % (23175)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.63/0.74  % (23193)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.63/0.74  % (23189)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.63/0.74  % (23200)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.63/0.74  % (23044)Instruction limit reached!
% 2.63/0.74  % (23044)------------------------------
% 2.63/0.74  % (23044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74  % (23044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74  % (23044)Termination reason: Unknown
% 2.63/0.74  % (23044)Termination phase: Saturation
% 2.63/0.74  
% 2.63/0.74  % (23044)Memory used [KB]: 6908
% 2.63/0.74  % (23044)Time elapsed: 0.331 s
% 2.63/0.74  % (23044)Instructions burned: 139 (million)
% 2.63/0.74  % (23044)------------------------------
% 2.63/0.74  % (23044)------------------------------
% 2.63/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.63/0.75  % (23199)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.73/0.77  % (23205)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.73/0.77  % (23215)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.73/0.80  % (23220)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.73/0.80  % (23224)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.73/0.81  % (23223)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.73/0.81  % (23222)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.73/0.81  % (23043)Instruction limit reached!
% 2.73/0.81  % (23043)------------------------------
% 2.73/0.81  % (23043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.81  % (23043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.81  % (23043)Termination reason: Unknown
% 2.73/0.81  % (23043)Termination phase: Saturation
% 2.73/0.81  
% 2.73/0.81  % (23043)Memory used [KB]: 7291
% 2.73/0.81  % (23043)Time elapsed: 0.399 s
% 2.73/0.81  % (23043)Instructions burned: 176 (million)
% 2.73/0.81  % (23043)------------------------------
% 2.73/0.81  % (23043)------------------------------
% 2.73/0.82  % (23170)Instruction limit reached!
% 2.73/0.82  % (23170)------------------------------
% 2.73/0.82  % (23170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.82  % (23050)Instruction limit reached!
% 2.73/0.82  % (23050)------------------------------
% 2.73/0.82  % (23050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.82  % (23050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.82  % (23050)Termination reason: Unknown
% 2.73/0.82  % (23050)Termination phase: Saturation
% 2.73/0.82  
% 2.73/0.82  % (23050)Memory used [KB]: 3070
% 2.73/0.82  % (23050)Time elapsed: 0.422 s
% 2.73/0.82  % (23050)Instructions burned: 177 (million)
% 2.73/0.82  % (23050)------------------------------
% 2.73/0.82  % (23050)------------------------------
% 2.73/0.82  % (23170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.82  % (23170)Termination reason: Unknown
% 2.73/0.82  % (23170)Termination phase: Saturation
% 2.73/0.82  
% 2.73/0.82  % (23170)Memory used [KB]: 6780
% 2.73/0.82  % (23170)Time elapsed: 0.202 s
% 2.73/0.82  % (23170)Instructions burned: 91 (million)
% 2.73/0.82  % (23170)------------------------------
% 2.73/0.82  % (23170)------------------------------
% 2.73/0.83  % (23221)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.00/0.85  % (23234)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.00/0.85  % (23233)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.08/0.87  % (23193)Instruction limit reached!
% 3.08/0.87  % (23193)------------------------------
% 3.08/0.87  % (23193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.87  % (23193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.87  % (23193)Termination reason: Unknown
% 3.08/0.87  % (23193)Termination phase: Saturation
% 3.08/0.87  
% 3.08/0.87  % (23193)Memory used [KB]: 6780
% 3.08/0.87  % (23193)Time elapsed: 0.038 s
% 3.08/0.87  % (23193)Instructions burned: 70 (million)
% 3.08/0.87  % (23193)------------------------------
% 3.08/0.87  % (23193)------------------------------
% 3.08/0.87  % (23243)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.08/0.89  % (23224)Instruction limit reached!
% 3.08/0.89  % (23224)------------------------------
% 3.08/0.89  % (23224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.89  % (23224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.89  % (23224)Termination reason: Unknown
% 3.08/0.89  % (23224)Termination phase: Saturation
% 3.08/0.89  
% 3.08/0.89  % (23224)Memory used [KB]: 6780
% 3.08/0.89  % (23224)Time elapsed: 0.057 s
% 3.08/0.89  % (23224)Instructions burned: 68 (million)
% 3.08/0.89  % (23224)------------------------------
% 3.08/0.89  % (23224)------------------------------
% 3.08/0.90  % (23200)Instruction limit reached!
% 3.08/0.90  % (23200)------------------------------
% 3.08/0.90  % (23200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.90  % (23200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.90  % (23200)Termination reason: Unknown
% 3.08/0.90  % (23200)Termination phase: Saturation
% 3.08/0.90  
% 3.08/0.90  % (23200)Memory used [KB]: 6652
% 3.08/0.90  % (23200)Time elapsed: 0.244 s
% 3.08/0.90  % (23200)Instructions burned: 91 (million)
% 3.08/0.90  % (23200)------------------------------
% 3.08/0.90  % (23200)------------------------------
% 3.08/0.92  % (23294)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.08/0.93  % (23279)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.43/0.96  TRYING [1]
% 3.50/0.96  % (23273)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.50/0.98  TRYING [2]
% 3.50/1.00  % (23305)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.50/1.01  % (23304)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.62/1.02  % (23152)Instruction limit reached!
% 3.62/1.02  % (23152)------------------------------
% 3.62/1.02  % (23152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/1.02  % (23152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/1.02  % (23152)Termination reason: Unknown
% 3.62/1.02  % (23152)Termination phase: Saturation
% 3.62/1.02  
% 3.62/1.02  % (23152)Memory used [KB]: 2686
% 3.62/1.02  % (23152)Time elapsed: 0.420 s
% 3.62/1.02  % (23152)Instructions burned: 212 (million)
% 3.62/1.02  % (23152)------------------------------
% 3.62/1.02  % (23152)------------------------------
% 3.62/1.04  % (23306)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.62/1.05  % (23279)Instruction limit reached!
% 3.62/1.05  % (23279)------------------------------
% 3.62/1.05  % (23279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/1.06  % (23279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/1.06  % (23279)Termination reason: Unknown
% 3.62/1.06  % (23279)Termination phase: Saturation
% 3.62/1.06  
% 3.62/1.06  % (23279)Memory used [KB]: 6780
% 3.62/1.06  % (23279)Time elapsed: 0.179 s
% 3.62/1.06  % (23279)Instructions burned: 90 (million)
% 3.62/1.06  % (23279)------------------------------
% 3.62/1.06  % (23279)------------------------------
% 6.22/1.17  % (23308)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.22/1.17  % (23052)Instruction limit reached!
% 6.22/1.17  % (23052)------------------------------
% 6.22/1.17  % (23052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.22/1.18  % (23307)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 6.22/1.18  % (23052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.22/1.18  % (23052)Termination reason: Unknown
% 6.22/1.18  % (23052)Termination phase: Saturation
% 6.22/1.18  
% 6.22/1.18  % (23052)Memory used [KB]: 8571
% 6.22/1.18  % (23052)Time elapsed: 0.538 s
% 6.22/1.18  % (23052)Instructions burned: 356 (million)
% 6.22/1.18  % (23052)------------------------------
% 6.22/1.18  % (23052)------------------------------
% 6.54/1.20  % (23048)Instruction limit reached!
% 6.54/1.20  % (23048)------------------------------
% 6.54/1.20  % (23048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.20  % (23048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.20  % (23048)Termination reason: Unknown
% 6.54/1.20  % (23048)Termination phase: Saturation
% 6.54/1.20  
% 6.54/1.20  % (23048)Memory used [KB]: 11001
% 6.54/1.20  % (23048)Time elapsed: 0.787 s
% 6.54/1.20  % (23048)Instructions burned: 501 (million)
% 6.54/1.20  % (23048)------------------------------
% 6.54/1.20  % (23048)------------------------------
% 6.54/1.21  % (23051)Instruction limit reached!
% 6.54/1.21  % (23051)------------------------------
% 6.54/1.21  % (23051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.22  % (23051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.22  % (23051)Termination reason: Unknown
% 6.54/1.22  % (23051)Termination phase: Saturation
% 6.54/1.22  
% 6.54/1.22  % (23051)Memory used [KB]: 10874
% 6.54/1.22  % (23051)Time elapsed: 0.819 s
% 6.54/1.22  % (23051)Instructions burned: 440 (million)
% 6.54/1.22  % (23051)------------------------------
% 6.54/1.22  % (23051)------------------------------
% 7.00/1.24  % (23046)Instruction limit reached!
% 7.00/1.24  % (23046)------------------------------
% 7.00/1.24  % (23046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.24  % (23046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.24  % (23046)Termination reason: Unknown
% 7.00/1.24  % (23046)Termination phase: Saturation
% 7.00/1.24  
% 7.00/1.24  % (23046)Memory used [KB]: 13688
% 7.00/1.24  % (23046)Time elapsed: 0.800 s
% 7.00/1.24  % (23046)Instructions burned: 468 (million)
% 7.00/1.24  % (23046)------------------------------
% 7.00/1.24  % (23046)------------------------------
% 7.06/1.26  % (23045)Instruction limit reached!
% 7.06/1.26  % (23045)------------------------------
% 7.06/1.26  % (23045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.26  % (23045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.26  % (23045)Termination reason: Unknown
% 7.06/1.26  % (23045)Termination phase: Saturation
% 7.06/1.26  
% 7.06/1.26  % (23045)Memory used [KB]: 3070
% 7.06/1.26  % (23045)Time elapsed: 0.840 s
% 7.06/1.26  % (23045)Instructions burned: 499 (million)
% 7.06/1.26  % (23045)------------------------------
% 7.06/1.26  % (23045)------------------------------
% 7.06/1.26  % (23047)Instruction limit reached!
% 7.06/1.26  % (23047)------------------------------
% 7.06/1.26  % (23047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.26  % (23047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.26  % (23047)Termination reason: Unknown
% 7.06/1.26  % (23047)Termination phase: Saturation
% 7.06/1.26  
% 7.06/1.26  % (23047)Memory used [KB]: 8699
% 7.06/1.26  % (23047)Time elapsed: 0.883 s
% 7.06/1.26  % (23047)Instructions burned: 482 (million)
% 7.06/1.26  % (23047)------------------------------
% 7.06/1.26  % (23047)------------------------------
% 7.06/1.30  % (23309)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.48/1.32  TRYING [3]
% 7.48/1.33  % (23310)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.48/1.35  % (23114)Instruction limit reached!
% 7.48/1.35  % (23114)------------------------------
% 7.48/1.35  % (23114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.35  % (23114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.35  % (23114)Termination reason: Unknown
% 7.48/1.35  % (23114)Termination phase: Saturation
% 7.48/1.35  
% 7.48/1.35  % (23114)Memory used [KB]: 9210
% 7.48/1.35  % (23114)Time elapsed: 0.805 s
% 7.48/1.35  % (23114)Instructions burned: 388 (million)
% 7.48/1.35  % (23114)------------------------------
% 7.48/1.35  % (23114)------------------------------
% 7.48/1.35  % (23311)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.82/1.37  % (23312)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.82/1.37  % (23313)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 7.82/1.40  % (23314)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.57/1.49  % (23315)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 8.57/1.51  % (23311)Instruction limit reached!
% 8.57/1.51  % (23311)------------------------------
% 8.57/1.51  % (23311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.57/1.51  % (23311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.57/1.51  % (23311)Termination reason: Unknown
% 8.57/1.51  % (23311)Termination phase: Saturation
% 8.57/1.51  
% 8.57/1.51  % (23311)Memory used [KB]: 6524
% 8.57/1.51  % (23311)Time elapsed: 0.246 s
% 8.57/1.51  % (23311)Instructions burned: 91 (million)
% 8.57/1.51  % (23311)------------------------------
% 8.57/1.51  % (23311)------------------------------
% 9.07/1.62  % (23189)Instruction limit reached!
% 9.07/1.62  % (23189)------------------------------
% 9.07/1.62  % (23189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.07/1.62  % (23189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.07/1.62  % (23189)Termination reason: Unknown
% 9.07/1.62  % (23189)Termination phase: Saturation
% 9.07/1.62  
% 9.07/1.62  % (23189)Memory used [KB]: 3454
% 9.07/1.62  % (23189)Time elapsed: 0.983 s
% 9.07/1.62  % (23189)Instructions burned: 655 (million)
% 9.07/1.62  % (23189)------------------------------
% 9.07/1.62  % (23189)------------------------------
% 10.04/1.66  % (23316)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/37001Mi)
% 10.42/1.74  % (23317)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/10187Mi)
% 11.70/1.90  % (23233)First to succeed.
% 12.25/1.92  % (23177)Instruction limit reached!
% 12.25/1.92  % (23177)------------------------------
% 12.25/1.92  % (23177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.25/1.92  % (23177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.25/1.92  % (23177)Termination reason: Unknown
% 12.25/1.92  % (23177)Termination phase: Saturation
% 12.25/1.92  
% 12.25/1.92  % (23177)Memory used [KB]: 15479
% 12.25/1.92  % (23177)Time elapsed: 1.298 s
% 12.25/1.92  % (23177)Instructions burned: 934 (million)
% 12.25/1.92  % (23177)------------------------------
% 12.25/1.92  % (23177)------------------------------
% 12.25/1.93  % (23233)Refutation found. Thanks to Tanya!
% 12.25/1.93  % SZS status Unsatisfiable for theBenchmark
% 12.25/1.93  % SZS output start Proof for theBenchmark
% See solution above
% 12.25/1.94  % (23233)------------------------------
% 12.25/1.94  % (23233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.25/1.94  % (23233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.25/1.94  % (23233)Termination reason: Refutation
% 12.25/1.94  
% 12.25/1.94  % (23233)Memory used [KB]: 4349
% 12.25/1.94  % (23233)Time elapsed: 1.173 s
% 12.25/1.94  % (23233)Instructions burned: 756 (million)
% 12.25/1.94  % (23233)------------------------------
% 12.25/1.94  % (23233)------------------------------
% 12.25/1.94  % (23022)Success in time 1.587 s
%------------------------------------------------------------------------------