%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET021-7 : 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 18:23:12 EDT 2022

% Result   : Unsatisfiable 10.07s 1.73s
% Output   : Refutation 10.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  172
% Syntax   : Number of formulae    :  541 (  57 unt;   0 def)
%            Number of atoms       : 1276 ( 320 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1237 ( 502   ~; 616   |;   0   &)
%                                         ( 119 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :  125 ( 123 usr; 120 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  10 con; 0-3 aty)
%            Number of variables   :  378 ( 378   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2166,plain,
    $false,
    inference(avatar_smt_refutation,[],[f264,f269,f274,f279,f284,f290,f295,f303,f311,f316,f342,f348,f353,f378,f410,f462,f475,f481,f657,f662,f667,f676,f681,f689,f693,f698,f709,f714,f718,f723,f765,f772,f779,f846,f860,f867,f877,f885,f937,f949,f950,f1018,f1044,f1061,f1098,f1102,f1111,f1118,f1123,f1125,f1147,f1152,f1157,f1189,f1227,f1276,f1418,f1427,f1458,f1462,f1486,f1490,f1510,f1520,f1539,f1543,f1552,f1559,f1570,f1596,f1637,f1642,f1646,f1651,f1695,f1728,f1735,f1754,f1755,f1756,f1757,f1773,f1774,f1817,f1818,f1823,f1828,f1829,f1834,f1835,f1840,f1878,f1883,f1888,f1889,f1894,f1895,f1896,f1897,f1898,f1901,f1902,f1916,f1917,f1918,f1946,f1951,f1956,f1961,f1966,f1971,f1976,f2020,f2024,f2025,f2029,f2058,f2062,f2071,f2076,f2095,f2096,f2097,f2098,f2165]) ).

fof(f2165,plain,
    ( spl0_14
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2162,f2055,f350]) ).

fof(f350,plain,
    ( spl0_14
  <=> v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2055,plain,
    ( spl0_115
  <=> 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_115])]) ).

fof(f2162,plain,
    ( v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_115 ),
    inference(resolution,[],[f2057,f202]) ).

fof(f202,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/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(X1,singleton(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f2057,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(v,v))
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f2055]) ).

fof(f2098,plain,
    ( spl0_108
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2088,f1568,f1958]) ).

fof(f1958,plain,
    ( spl0_108
  <=> null_class = unordered_pair(u,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1568,plain,
    ( spl0_83
  <=> ! [X1] : ~ member(u,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2088,plain,
    ( null_class = unordered_pair(u,u)
    | ~ spl0_83 ),
    inference(resolution,[],[f1569,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( member(X0,universal_class)
      | unordered_pair(X0,X0) = null_class ),
    inference(definition_unfolding,[],[f126,f12]) ).

fof(f126,axiom,
    ! [X0] :
      ( member(X0,universal_class)
      | singleton(X0) = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).

fof(f1569,plain,
    ( ! [X1] : ~ member(u,X1)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f2097,plain,
    ( spl0_114
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2087,f1568,f2027]) ).

fof(f2027,plain,
    ( spl0_114
  <=> ! [X3] : unordered_pair(null_class,unordered_pair(u,unordered_pair(X3,X3))) = second(unordered_pair(null_class,unordered_pair(u,unordered_pair(X3,X3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2087,plain,
    ( ! [X1] : unordered_pair(null_class,unordered_pair(u,unordered_pair(X1,X1))) = second(unordered_pair(null_class,unordered_pair(u,unordered_pair(X1,X1))))
    | ~ spl0_83 ),
    inference(resolution,[],[f1569,f719]) ).

fof(f719,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | unordered_pair(null_class,unordered_pair(X0,unordered_pair(X1,X1))) = second(unordered_pair(null_class,unordered_pair(X0,unordered_pair(X1,X1)))) ),
    inference(forward_subsumption_demodulation,[],[f358,f219]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))))
      | member(X0,universal_class) ),
    inference(resolution,[],[f242,f343]) ).

fof(f343,plain,
    ! [X0] :
      ( member(X0,cross_product(universal_class,universal_class))
      | second(X0) = X0 ),
    inference(forward_subsumption_demodulation,[],[f238,f205]) ).

fof(f205,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(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/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).

fof(f157,axiom,
    ! [X0] :
      ( second(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5) ).

fof(f238,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/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).

fof(f242,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(X2,X0)
      | ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).

fof(f2096,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(resolution,[],[f1569,f680]) ).

fof(f680,plain,
    ( member(u,universal_class)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl0_27
  <=> member(u,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2095,plain,
    ( ~ spl0_83
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2084,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_111 ),
    inference(resolution,[],[f1569,f1975]) ).

fof(f1975,plain,
    ( member(u,unordered_pair(u,u))
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f1973,plain,
    ( spl0_111
  <=> member(u,unordered_pair(u,u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2076,plain,
    ( spl0_117
    | spl0_119
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2050,f1565,f2073,f2064]) ).

fof(f2064,plain,
    ( spl0_117
  <=> 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_117])]) ).

fof(f2073,plain,
    ( spl0_119
  <=> v = first(v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1565,plain,
    ( spl0_82
  <=> ! [X0] :
        ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(v,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2050,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_82 ),
    inference(resolution,[],[f1566,f384]) ).

fof(f384,plain,
    ! [X1] :
      ( member(X1,cross_product(universal_class,universal_class))
      | first(X1) = X1 ),
    inference(duplicate_literal_removal,[],[f383]) ).

fof(f383,plain,
    ! [X1] :
      ( first(X1) = X1
      | first(X1) = X1
      | member(X1,cross_product(universal_class,universal_class)) ),
    inference(superposition,[],[f179,f196]) ).

fof(f196,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] :
      ( ordered_pair(first(X0),second(X0)) = X0
      | first(X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).

fof(f179,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] :
      ( first(X0) = X0
      | member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).

fof(f1566,plain,
    ( ! [X0] :
        ( ~ member(v,X0)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f1565]) ).

fof(f2071,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2051,f1565,f2068,f2064]) ).

fof(f2068,plain,
    ( spl0_118
  <=> v = second(v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2051,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_82 ),
    inference(resolution,[],[f1566,f343]) ).

fof(f2062,plain,
    ( ~ spl0_34
    | spl0_116
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2053,f1565,f2060,f711]) ).

fof(f711,plain,
    ( spl0_34
  <=> member(v,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2060,plain,
    ( spl0_116
  <=> ! [X3] :
        ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X3))
        | null_class = intersection(cross_product(unordered_pair(v,v),universal_class),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2053,plain,
    ( ! [X3] :
        ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X3))
        | null_class = intersection(cross_product(unordered_pair(v,v),universal_class),X3)
        | ~ member(v,universal_class) )
    | ~ spl0_82 ),
    inference(resolution,[],[f1566,f175]) ).

fof(f175,plain,
    ! [X0,X4] :
      ( member(X4,domain_of(X0))
      | null_class = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0)
      | ~ member(X4,universal_class) ),
    inference(definition_unfolding,[],[f31,f29,f12]) ).

fof(f29,axiom,
    ! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).

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/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f2058,plain,
    ( ~ spl0_34
    | spl0_115
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2049,f1565,f2055,f711]) ).

fof(f2049,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_82 ),
    inference(resolution,[],[f1566,f182]) ).

fof(f182,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/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

fof(f2029,plain,
    ( spl0_112
    | spl0_114
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2009,f1273,f375,f2027,f2018]) ).

fof(f2018,plain,
    ( spl0_112
  <=> ! [X4] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,X4))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f375,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(f1273,plain,
    ( spl0_62
  <=> u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2009,plain,
    ( ! [X2,X3] :
        ( unordered_pair(null_class,unordered_pair(u,unordered_pair(X3,X3))) = second(unordered_pair(null_class,unordered_pair(u,unordered_pair(X3,X3))))
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,X2))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X2) )
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(resolution,[],[f1921,f719]) ).

fof(f1921,plain,
    ( ! [X0,X1] :
        ( ~ member(u,X0)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X0,X1))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1) )
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(backward_demodulation,[],[f1135,f1275]) ).

fof(f1275,plain,
    ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f1273]) ).

fof(f1135,plain,
    ( ! [X0,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)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1) )
    | ~ spl0_15 ),
    inference(superposition,[],[f232,f377]) ).

fof(f377,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,[],[f375]) ).

fof(f232,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)
      | ~ member(X3,X1) ),
    inference(definition_unfolding,[],[f16,f164]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,X0)
      | member(ordered_pair(X2,X3),cross_product(X0,X1))
      | ~ member(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).

fof(f2025,plain,
    ( spl0_112
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2007,f1273,f678,f375,f2018]) ).

fof(f2007,plain,
    ( ! [X0] :
        ( ~ member(second(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(universal_class,X0)) )
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_62 ),
    inference(resolution,[],[f1921,f680]) ).

fof(f2024,plain,
    ( ~ spl0_27
    | spl0_113
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2016,f1273,f375,f2022,f678]) ).

fof(f2022,plain,
    ( spl0_113
  <=> ! [X13,X12] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X13)
        | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),X12)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(domain_of(X12),X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2016,plain,
    ( ! [X12,X13] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X13)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(domain_of(X12),X13))
        | ~ member(u,universal_class)
        | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),X12) )
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(resolution,[],[f1921,f175]) ).

fof(f2020,plain,
    ( spl0_108
    | spl0_112
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2010,f1273,f375,f2018,f1958]) ).

fof(f2010,plain,
    ( ! [X4] :
        ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,X4))
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X4)
        | null_class = unordered_pair(u,u) )
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(resolution,[],[f1921,f219]) ).

fof(f1976,plain,
    ( spl0_111
    | ~ spl0_62
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1934,f1639,f1273,f1973]) ).

fof(f1639,plain,
    ( spl0_87
  <=> 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_87])]) ).

fof(f1934,plain,
    ( member(u,unordered_pair(u,u))
    | ~ spl0_62
    | ~ spl0_87 ),
    inference(backward_demodulation,[],[f1641,f1275]) ).

fof(f1641,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(u,u))
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f1971,plain,
    ( spl0_110
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1923,f1273,f1144,f1968]) ).

fof(f1968,plain,
    ( spl0_110
  <=> subclass(unordered_pair(unordered_pair(u,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(u,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_110])]) ).

fof(f1144,plain,
    ( spl0_56
  <=> 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_56])]) ).

fof(f1923,plain,
    ( subclass(unordered_pair(unordered_pair(u,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(u,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_56
    | ~ spl0_62 ),
    inference(backward_demodulation,[],[f1146,f1275]) ).

fof(f1146,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_56 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1966,plain,
    ( spl0_109
    | ~ spl0_15
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1919,f1273,f375,f1963]) ).

fof(f1963,plain,
    ( spl0_109
  <=> unordered_pair(unordered_pair(u,u),unordered_pair(u,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_109])]) ).

fof(f1919,plain,
    ( unordered_pair(unordered_pair(u,u),unordered_pair(u,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
    | ~ spl0_62 ),
    inference(backward_demodulation,[],[f377,f1275]) ).

fof(f1961,plain,
    ( ~ spl0_108
    | ~ spl0_62
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1940,f1891,f1273,f1958]) ).

fof(f1891,plain,
    ( spl0_103
  <=> null_class = 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))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1940,plain,
    ( null_class != unordered_pair(u,u)
    | ~ spl0_62
    | spl0_103 ),
    inference(backward_demodulation,[],[f1892,f1275]) ).

fof(f1892,plain,
    ( null_class != 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)))))
    | spl0_103 ),
    inference(avatar_component_clause,[],[f1891]) ).

fof(f1956,plain,
    ( ~ spl0_107
    | ~ spl0_62
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1933,f1634,f1273,f1953]) ).

fof(f1953,plain,
    ( spl0_107
  <=> member(u,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1634,plain,
    ( spl0_86
  <=> member(first(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_86])]) ).

fof(f1933,plain,
    ( ~ member(u,cross_product(universal_class,universal_class))
    | ~ spl0_62
    | spl0_86 ),
    inference(backward_demodulation,[],[f1635,f1275]) ).

fof(f1635,plain,
    ( ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | spl0_86 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f1951,plain,
    ( ~ spl0_106
    | ~ spl0_62
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1936,f1688,f1273,f1948]) ).

fof(f1948,plain,
    ( spl0_106
  <=> member(u,second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1688,plain,
    ( spl0_90
  <=> member(first(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))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1936,plain,
    ( ~ member(u,second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | ~ spl0_62
    | spl0_90 ),
    inference(backward_demodulation,[],[f1689,f1275]) ).

fof(f1689,plain,
    ( ~ member(first(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)))))
    | spl0_90 ),
    inference(avatar_component_clause,[],[f1688]) ).

fof(f1946,plain,
    ( ~ spl0_105
    | spl0_25
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1920,f1273,f669,f1943]) ).

fof(f1943,plain,
    ( spl0_105
  <=> u = unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f669,plain,
    ( spl0_25
  <=> 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(f1920,plain,
    ( u != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
    | spl0_25
    | ~ spl0_62 ),
    inference(backward_demodulation,[],[f670,f1275]) ).

fof(f670,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_25 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1918,plain,
    ( spl0_62
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1910,f1639,f1273]) ).

fof(f1910,plain,
    ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
    | ~ spl0_87 ),
    inference(resolution,[],[f1641,f202]) ).

fof(f1917,plain,
    ( spl0_25
    | spl0_104
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1909,f1639,f1914,f669]) ).

fof(f1914,plain,
    ( spl0_104
  <=> ! [X0] :
        ( ~ member(second(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(unordered_pair(u,u),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1909,plain,
    ( ! [X1] :
        ( ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X1)
        | 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(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(unordered_pair(u,u),X1)) )
    | ~ spl0_87 ),
    inference(resolution,[],[f1641,f361]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( ~ member(first(X0),X1)
      | member(X0,cross_product(X1,X2))
      | ~ member(second(X0),X2)
      | first(X0) = X0 ),
    inference(superposition,[],[f232,f196]) ).

fof(f1916,plain,
    ( spl0_104
    | spl0_98
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1908,f1639,f1825,f1914]) ).

fof(f1825,plain,
    ( spl0_98
  <=> 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_98])]) ).

fof(f1908,plain,
    ( ! [X0] :
        ( 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)))),X0)
        | member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(unordered_pair(u,u),X0)) )
    | ~ spl0_87 ),
    inference(resolution,[],[f1641,f366]) ).

fof(f366,plain,
    ! [X2,X3,X1] :
      ( ~ member(first(X1),X2)
      | ~ member(second(X1),X3)
      | second(X1) = X1
      | member(X1,cross_product(X2,X3)) ),
    inference(superposition,[],[f232,f205]) ).

fof(f1902,plain,
    ( spl0_102
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1900,f1634,f1885]) ).

fof(f1885,plain,
    ( spl0_102
  <=> first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = second(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1900,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = second(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | spl0_86 ),
    inference(resolution,[],[f1635,f343]) ).

fof(f1901,plain,
    ( spl0_101
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1899,f1634,f1880]) ).

fof(f1880,plain,
    ( spl0_101
  <=> first(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)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1899,plain,
    ( first(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))))
    | spl0_86 ),
    inference(resolution,[],[f1635,f384]) ).

fof(f1898,plain,
    ( spl0_25
    | spl0_98
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1866,f1730,f1825,f669]) ).

fof(f1730,plain,
    ( spl0_94
  <=> ! [X6] : ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1866,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)))
    | 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_94 ),
    inference(resolution,[],[f1731,f604]) ).

fof(f604,plain,
    ! [X1] :
      ( member(first(X1),universal_class)
      | first(X1) = X1
      | second(X1) = X1 ),
    inference(resolution,[],[f362,f343]) ).

fof(f362,plain,
    ! [X3,X4,X5] :
      ( ~ member(X3,cross_product(X4,X5))
      | first(X3) = X3
      | member(first(X3),X4) ),
    inference(superposition,[],[f242,f196]) ).

fof(f1731,plain,
    ( ! [X6] : ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X6)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1897,plain,
    ( spl0_102
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1869,f1730,f1885]) ).

fof(f1869,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = second(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f434]) ).

fof(f434,plain,
    ! [X0] :
      ( member(X0,universal_class)
      | second(X0) = X0 ),
    inference(superposition,[],[f11,f205]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f1896,plain,
    ( spl0_101
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1872,f1730,f1880]) ).

fof(f1872,plain,
    ( first(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))))
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f365]) ).

fof(f365,plain,
    ! [X10] :
      ( member(X10,universal_class)
      | first(X10) = X10 ),
    inference(superposition,[],[f229,f196]) ).

fof(f229,plain,
    ! [X0,X1] : member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class),
    inference(definition_unfolding,[],[f145,f164]) ).

fof(f145,axiom,
    ! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_is_set) ).

fof(f1895,plain,
    ( spl0_25
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1867,f1730,f669]) ).

fof(f1867,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_94 ),
    inference(resolution,[],[f1731,f701]) ).

fof(f701,plain,
    ! [X17] :
      ( member(first(X17),universal_class)
      | first(X17) = X17 ),
    inference(duplicate_literal_removal,[],[f700]) ).

fof(f700,plain,
    ! [X17] :
      ( member(first(X17),universal_class)
      | first(X17) = X17
      | first(X17) = X17 ),
    inference(forward_subsumption_demodulation,[],[f699,f196]) ).

fof(f699,plain,
    ! [X17] :
      ( unordered_pair(unordered_pair(first(X17),first(X17)),unordered_pair(first(X17),unordered_pair(second(X17),second(X17)))) = first(unordered_pair(unordered_pair(first(X17),first(X17)),unordered_pair(first(X17),unordered_pair(second(X17),second(X17)))))
      | member(first(X17),universal_class)
      | first(X17) = X17 ),
    inference(forward_subsumption_demodulation,[],[f611,f196]) ).

fof(f611,plain,
    ! [X17] :
      ( member(first(unordered_pair(unordered_pair(first(X17),first(X17)),unordered_pair(first(X17),unordered_pair(second(X17),second(X17))))),universal_class)
      | unordered_pair(unordered_pair(first(X17),first(X17)),unordered_pair(first(X17),unordered_pair(second(X17),second(X17)))) = first(unordered_pair(unordered_pair(first(X17),first(X17)),unordered_pair(first(X17),unordered_pair(second(X17),second(X17)))))
      | first(X17) = X17 ),
    inference(resolution,[],[f362,f179]) ).

fof(f1894,plain,
    ( spl0_103
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1871,f1730,f1891]) ).

fof(f1871,plain,
    ( null_class = 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)))))
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f219]) ).

fof(f1889,plain,
    ( spl0_98
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1868,f1730,f1825]) ).

fof(f1868,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_94 ),
    inference(resolution,[],[f1731,f641]) ).

fof(f641,plain,
    ! [X1] :
      ( member(first(X1),universal_class)
      | second(X1) = X1 ),
    inference(duplicate_literal_removal,[],[f630]) ).

fof(f630,plain,
    ! [X1] :
      ( member(first(X1),universal_class)
      | second(X1) = X1
      | second(X1) = X1 ),
    inference(resolution,[],[f367,f343]) ).

fof(f367,plain,
    ! [X6,X4,X5] :
      ( ~ member(X4,cross_product(X5,X6))
      | member(first(X4),X5)
      | second(X4) = X4 ),
    inference(superposition,[],[f242,f205]) ).

fof(f1888,plain,
    ( spl0_102
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1875,f1730,f1885]) ).

fof(f1875,plain,
    ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = second(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f343]) ).

fof(f1883,plain,
    ( spl0_101
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1874,f1730,f1880]) ).

fof(f1874,plain,
    ( first(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))))
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f384]) ).

fof(f1878,plain,
    ( ~ spl0_79
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_94 ),
    inference(resolution,[],[f1731,f1551]) ).

fof(f1551,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f1549]) ).

fof(f1549,plain,
    ( spl0_79
  <=> member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1840,plain,
    ( spl0_100
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1810,f1723,f1837]) ).

fof(f1837,plain,
    ( spl0_100
  <=> null_class = 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))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1723,plain,
    ( spl0_92
  <=> ! [X5] : ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1810,plain,
    ( null_class = 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)))))
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f219]) ).

fof(f1724,plain,
    ( ! [X5] : ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X5)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f1723]) ).

fof(f1835,plain,
    ( spl0_99
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1808,f1723,f1831]) ).

fof(f1831,plain,
    ( spl0_99
  <=> second(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)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1808,plain,
    ( second(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))))
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f434]) ).

fof(f1834,plain,
    ( spl0_99
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1814,f1723,f1831]) ).

fof(f1814,plain,
    ( second(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))))
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f343]) ).

fof(f1829,plain,
    ( spl0_97
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1811,f1723,f1820]) ).

fof(f1820,plain,
    ( spl0_97
  <=> second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = first(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1811,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = first(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f365]) ).

fof(f1828,plain,
    ( spl0_98
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1806,f1723,f1825]) ).

fof(f1806,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_92 ),
    inference(resolution,[],[f1724,f1011]) ).

fof(f1011,plain,
    ! [X1] :
      ( member(second(X1),universal_class)
      | second(X1) = X1 ),
    inference(duplicate_literal_removal,[],[f1002]) ).

fof(f1002,plain,
    ! [X1] :
      ( member(second(X1),universal_class)
      | second(X1) = X1
      | second(X1) = X1 ),
    inference(resolution,[],[f368,f343]) ).

fof(f368,plain,
    ! [X8,X9,X7] :
      ( ~ member(X7,cross_product(X8,X9))
      | member(second(X7),X9)
      | second(X7) = X7 ),
    inference(superposition,[],[f178,f205]) ).

fof(f178,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(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).

fof(f1823,plain,
    ( spl0_97
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1813,f1723,f1820]) ).

fof(f1813,plain,
    ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = first(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))))
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f384]) ).

fof(f1818,plain,
    ( spl0_25
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1807,f1723,f669]) ).

fof(f1807,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_92 ),
    inference(resolution,[],[f1724,f628]) ).

fof(f628,plain,
    ! [X0] :
      ( member(second(X0),universal_class)
      | first(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f616]) ).

fof(f616,plain,
    ! [X0] :
      ( first(X0) = X0
      | first(X0) = X0
      | member(second(X0),universal_class) ),
    inference(resolution,[],[f363,f384]) ).

fof(f363,plain,
    ! [X8,X6,X7] :
      ( ~ member(X6,cross_product(X7,X8))
      | member(second(X6),X8)
      | first(X6) = X6 ),
    inference(superposition,[],[f178,f196]) ).

fof(f1817,plain,
    ( ~ spl0_26
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1805]) ).

fof(f1805,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_92 ),
    inference(resolution,[],[f1724,f675]) ).

fof(f675,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f673,plain,
    ( spl0_26
  <=> member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1774,plain,
    ( spl0_96
    | ~ spl0_31
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1736,f1108,f696,f1751]) ).

fof(f1751,plain,
    ( spl0_96
  <=> first(unordered_pair(null_class,unordered_pair(universal_class,null_class))) = unordered_pair(null_class,unordered_pair(universal_class,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f696,plain,
    ( spl0_31
  <=> ! [X7] : unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class)) = first(unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1108,plain,
    ( spl0_53
  <=> null_class = unordered_pair(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1736,plain,
    ( first(unordered_pair(null_class,unordered_pair(universal_class,null_class))) = unordered_pair(null_class,unordered_pair(universal_class,null_class))
    | ~ spl0_31
    | ~ spl0_53 ),
    inference(superposition,[],[f697,f1110]) ).

fof(f1110,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f697,plain,
    ( ! [X7] : unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class)) = first(unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class)))
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1773,plain,
    ( ~ spl0_9
    | spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1769]) ).

fof(f1769,plain,
    ( $false
    | ~ spl0_9
    | spl0_40 ),
    inference(resolution,[],[f302,f844]) ).

fof(f844,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_40
  <=> member(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f302,plain,
    ( ! [X3] : member(X3,universal_class)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl0_9
  <=> ! [X3] : member(X3,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1757,plain,
    ( spl0_31
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f986,f298,f696]) ).

fof(f298,plain,
    ( spl0_8
  <=> ! [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_8])]) ).

fof(f986,plain,
    ( ! [X11] : first(unordered_pair(unordered_pair(X11,X11),unordered_pair(X11,null_class))) = unordered_pair(unordered_pair(X11,X11),unordered_pair(X11,null_class))
    | ~ spl0_8 ),
    inference(resolution,[],[f384,f299]) ).

fof(f299,plain,
    ( ! [X2,X0,X1] : ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,null_class)),cross_product(X0,X1))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1756,plain,
    ( spl0_24
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f917,f298,f665]) ).

fof(f665,plain,
    ( spl0_24
  <=> ! [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_24])]) ).

fof(f917,plain,
    ( ! [X0] : unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)))
    | ~ spl0_8 ),
    inference(resolution,[],[f299,f343]) ).

fof(f1755,plain,
    ( spl0_9
    | spl0_24 ),
    inference(avatar_split_clause,[],[f914,f665,f301]) ).

fof(f914,plain,
    ! [X6,X7] :
      ( second(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,null_class))) = unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,null_class))
      | member(X7,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f908,f219]) ).

fof(f908,plain,
    ! [X6,X7] :
      ( unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X7,X7))) = second(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X7,X7))))
      | member(X7,universal_class) ),
    inference(resolution,[],[f343,f178]) ).

fof(f1754,plain,
    ( spl0_96
    | ~ spl0_31
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1736,f1108,f696,f1751]) ).

fof(f1735,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1714,f375,f1733,f1730]) ).

fof(f1733,plain,
    ( spl0_95
  <=> ! [X7] :
        ( member(v,X7)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1714,plain,
    ( ! [X6,X7] :
        ( member(v,X7)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X6)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X7) )
    | ~ spl0_15 ),
    inference(resolution,[],[f1135,f178]) ).

fof(f1728,plain,
    ( spl0_92
    | spl0_93
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1713,f375,f1726,f1723]) ).

fof(f1726,plain,
    ( spl0_93
  <=> ! [X4] :
        ( member(u,X4)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1713,plain,
    ( ! [X4,X5] :
        ( member(u,X4)
        | ~ member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X4)
        | ~ member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X5) )
    | ~ spl0_15 ),
    inference(resolution,[],[f1135,f242]) ).

fof(f1695,plain,
    ( spl0_90
    | ~ spl0_91
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1684,f375,f1692,f1688]) ).

fof(f1692,plain,
    ( spl0_91
  <=> member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1684,plain,
    ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),element_relation)
    | member(first(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)))))
    | ~ spl0_15 ),
    inference(superposition,[],[f252,f377]) ).

fof(f252,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(f19,axiom,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(ordered_pair(X0,X1),element_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).

fof(f1651,plain,
    ( spl0_89
    | spl0_86
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1626,f1557,f1634,f1648]) ).

fof(f1648,plain,
    ( spl0_89
  <=> u = second(u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1557,plain,
    ( spl0_81
  <=> ! [X0] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1626,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | u = second(u)
    | ~ spl0_81 ),
    inference(resolution,[],[f1558,f343]) ).

fof(f1558,plain,
    ( ! [X0] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1646,plain,
    ( ~ spl0_27
    | spl0_88
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1628,f1557,f1644,f678]) ).

fof(f1644,plain,
    ( spl0_88
  <=> ! [X3] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X3))
        | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1628,plain,
    ( ! [X3] :
        ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),domain_of(X3))
        | ~ member(u,universal_class)
        | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),X3) )
    | ~ spl0_81 ),
    inference(resolution,[],[f1558,f175]) ).

fof(f1642,plain,
    ( ~ spl0_27
    | spl0_87
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1624,f1557,f1639,f678]) ).

fof(f1624,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),unordered_pair(u,u))
    | ~ member(u,universal_class)
    | ~ spl0_81 ),
    inference(resolution,[],[f1558,f182]) ).

fof(f1637,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1625,f1557,f1634,f1630]) ).

fof(f1630,plain,
    ( spl0_85
  <=> u = first(u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1625,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),cross_product(universal_class,universal_class))
    | u = first(u)
    | ~ spl0_81 ),
    inference(resolution,[],[f1558,f384]) ).

fof(f1596,plain,
    ( spl0_21
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1591,f1593,f650]) ).

fof(f650,plain,
    ( spl0_21
  <=> universal_class = cross_product(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1593,plain,
    ( spl0_84
  <=> function(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1591,plain,
    ( ~ function(universal_class)
    | universal_class = cross_product(universal_class,universal_class) ),
    inference(resolution,[],[f1400,f62]) ).

fof(f62,axiom,
    ! [X8] :
      ( subclass(X8,cross_product(universal_class,universal_class))
      | ~ function(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function1) ).

fof(f1400,plain,
    ! [X0] :
      ( ~ subclass(universal_class,X0)
      | universal_class = X0 ),
    inference(resolution,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f1570,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1561,f375,f1568,f1565]) ).

fof(f1561,plain,
    ( ! [X0,X1] :
        ( ~ member(u,X1)
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(v,X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f1137,f232]) ).

fof(f1137,plain,
    ( ! [X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X4,X5))
        | member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X5) )
    | ~ spl0_15 ),
    inference(superposition,[],[f178,f377]) ).

fof(f1559,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1545,f375,f1557,f1554]) ).

fof(f1554,plain,
    ( spl0_80
  <=> ! [X1] : ~ member(v,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1545,plain,
    ( ! [X0,X1] :
        ( ~ member(u,X0)
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X0)
        | ~ member(v,X1) )
    | ~ spl0_15 ),
    inference(resolution,[],[f1136,f232]) ).

fof(f1136,plain,
    ( ! [X2,X3] :
        ( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(X2,X3))
        | member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),X2) )
    | ~ spl0_15 ),
    inference(superposition,[],[f242,f377]) ).

fof(f1552,plain,
    ( spl0_79
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1544,f375,f266,f1549]) ).

fof(f266,plain,
    ( spl0_2
  <=> 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_2])]) ).

fof(f1544,plain,
    ( member(first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(resolution,[],[f1136,f268]) ).

fof(f268,plain,
    ( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,universal_class))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1543,plain,
    ( spl0_78
    | spl0_14
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1532,f711,f375,f350,f1541]) ).

fof(f1541,plain,
    ( spl0_78
  <=> ! [X4] : unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(v,v))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1532,plain,
    ( ! [X4] :
        ( v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
        | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(v,v))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(superposition,[],[f891,f377]) ).

fof(f891,plain,
    ( ! [X3,X4,X5] :
        ( unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(v,v))) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))
        | v = X3 )
    | ~ spl0_34 ),
    inference(resolution,[],[f713,f240]) ).

fof(f240,plain,
    ! [X0,X1,X6,X4] :
      ( ~ member(X0,universal_class)
      | X0 = X4
      | 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,[],[f152,f164,f164]) ).

fof(f152,axiom,
    ! [X0,X1,X6,X4] :
      ( X0 = X4
      | ordered_pair(X1,X4) != ordered_pair(X6,X0)
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

fof(f713,plain,
    ( member(v,universal_class)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f1539,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1527,f1108,f711,f1537,f1517]) ).

fof(f1517,plain,
    ( spl0_76
  <=> universal_class = v ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1537,plain,
    ( spl0_77
  <=> ! [X6,X7] : unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(v,v))) != unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1527,plain,
    ( ! [X6,X7] :
        ( unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(v,v))) != unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class))
        | universal_class = v )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(superposition,[],[f891,f1110]) ).

fof(f1520,plain,
    ( spl0_75
    | spl0_76
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1491,f1108,f711,f1517,f1514]) ).

fof(f1514,plain,
    ( spl0_75
  <=> ! [X6,X7] : unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X7,X7))) != unordered_pair(null_class,unordered_pair(universal_class,unordered_pair(X6,X6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1491,plain,
    ( ! [X6,X7] :
        ( universal_class = v
        | unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X7,X7))) != unordered_pair(null_class,unordered_pair(universal_class,unordered_pair(X6,X6))) )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(superposition,[],[f890,f1110]) ).

fof(f890,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X2,X2)))
        | v = X0 )
    | ~ spl0_34 ),
    inference(resolution,[],[f713,f255]) ).

fof(f255,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] :
      ( ~ member(X6,universal_class)
      | ordered_pair(X1,X4) != ordered_pair(X6,X0)
      | X1 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components1) ).

fof(f1510,plain,
    ( spl0_73
    | spl0_74
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1502,f711,f678,f375,f1507,f1504]) ).

fof(f1504,plain,
    ( spl0_73
  <=> ! [X4] : unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1507,plain,
    ( spl0_74
  <=> u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(u,u)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1502,plain,
    ( ! [X4] :
        ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(u,u))))
        | unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_34 ),
    inference(forward_subsumption_demodulation,[],[f1497,f888]) ).

fof(f888,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X2,X2)))
        | u = X0 )
    | ~ spl0_27 ),
    inference(resolution,[],[f680,f255]) ).

fof(f1497,plain,
    ( ! [X4] :
        ( unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))
        | v = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) )
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(superposition,[],[f890,f377]) ).

fof(f1490,plain,
    ( spl0_68
    | spl0_72
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1464,f1108,f678,f1488,f1455]) ).

fof(f1455,plain,
    ( spl0_68
  <=> universal_class = u ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1488,plain,
    ( spl0_72
  <=> ! [X6,X7] : unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(u,u))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1464,plain,
    ( ! [X6,X7] :
        ( unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(u,u))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,null_class))
        | universal_class = u )
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(superposition,[],[f889,f1110]) ).

fof(f889,plain,
    ( ! [X3,X4,X5] :
        ( unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(u,u)))
        | u = X3 )
    | ~ spl0_27 ),
    inference(resolution,[],[f680,f240]) ).

fof(f1486,plain,
    ( spl0_70
    | spl0_71
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1478,f711,f678,f375,f1483,f1480]) ).

fof(f1480,plain,
    ( spl0_70
  <=> ! [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(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1483,plain,
    ( spl0_71
  <=> u = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(u,u)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1478,plain,
    ( ! [X4] :
        ( u = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(u,u))))
        | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(u,u))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15
    | ~ spl0_27
    | ~ spl0_34 ),
    inference(forward_subsumption_demodulation,[],[f1469,f891]) ).

fof(f1469,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(v,v)))
        | u = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) )
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(superposition,[],[f889,f377]) ).

fof(f1462,plain,
    ( spl0_69
    | spl0_62
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1444,f678,f375,f1273,f1460]) ).

fof(f1460,plain,
    ( spl0_69
  <=> ! [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(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1444,plain,
    ( ! [X4] :
        ( u = 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(X4,X4))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(superposition,[],[f888,f377]) ).

fof(f1458,plain,
    ( spl0_67
    | spl0_68
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1438,f1108,f678,f1455,f1452]) ).

fof(f1452,plain,
    ( spl0_67
  <=> ! [X6,X7] : unordered_pair(null_class,unordered_pair(universal_class,unordered_pair(X6,X6))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X7,X7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1438,plain,
    ( ! [X6,X7] :
        ( universal_class = u
        | unordered_pair(null_class,unordered_pair(universal_class,unordered_pair(X6,X6))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(X7,X7))) )
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(superposition,[],[f888,f1110]) ).

fof(f1427,plain,
    ( ~ spl0_65
    | spl0_66
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1408,f271,f1424,f1420]) ).

fof(f1420,plain,
    ( spl0_65
  <=> subclass(cross_product(universal_class,universal_class),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1424,plain,
    ( spl0_66
  <=> cross_product(universal_class,universal_class) = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f271,plain,
    ( spl0_3
  <=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1408,plain,
    ( cross_product(universal_class,universal_class) = successor_relation
    | ~ subclass(cross_product(universal_class,universal_class),successor_relation)
    | ~ spl0_3 ),
    inference(resolution,[],[f7,f273]) ).

fof(f273,plain,
    ( subclass(successor_relation,cross_product(universal_class,universal_class))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f1418,plain,
    ( spl0_63
    | ~ spl0_64
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1406,f281,f1415,f1411]) ).

fof(f1411,plain,
    ( spl0_63
  <=> element_relation = cross_product(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1415,plain,
    ( spl0_64
  <=> subclass(cross_product(universal_class,universal_class),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f281,plain,
    ( spl0_5
  <=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1406,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),element_relation)
    | element_relation = cross_product(universal_class,universal_class)
    | ~ spl0_5 ),
    inference(resolution,[],[f7,f283]) ).

fof(f283,plain,
    ( subclass(element_relation,cross_product(universal_class,universal_class))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1276,plain,
    ( spl0_61
    | spl0_62
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1268,f375,f1273,f1270]) ).

fof(f1270,plain,
    ( spl0_61
  <=> ! [X9,X8,X10] : unordered_pair(unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9)))),unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(X10,X10))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1268,plain,
    ( ! [X10,X8,X9] :
        ( u = first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
        | unordered_pair(unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9)))),unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(X10,X10))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15 ),
    inference(forward_subsumption_demodulation,[],[f1263,f391]) ).

fof(f391,plain,
    ! [X8,X6,X7,X4,X5] :
      ( unordered_pair(unordered_pair(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X6,X6))),unordered_pair(X8,X8))) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X7,X7)))
      | unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X6,X6))) = X4 ),
    inference(resolution,[],[f255,f229]) ).

fof(f1263,plain,
    ( ! [X10,X8,X9] :
        ( first(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9)))
        | unordered_pair(unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9)))),unordered_pair(unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(X9,X9))),unordered_pair(X10,X10))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15 ),
    inference(superposition,[],[f391,f377]) ).

fof(f1227,plain,
    ( spl0_60
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1223,f375,f350,f1225]) ).

fof(f1225,plain,
    ( spl0_60
  <=> ! [X9,X8,X10] : unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10))),unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10)))))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1223,plain,
    ( ! [X10,X8,X9] :
        ( v = second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))))
        | unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10))),unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10)))))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15 ),
    inference(forward_subsumption_demodulation,[],[f1219,f387]) ).

fof(f387,plain,
    ! [X8,X6,X7,X4,X5] :
      ( unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5)))))) != unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(X6,X6)))
      | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))) = X6 ),
    inference(resolution,[],[f240,f229]) ).

fof(f1219,plain,
    ( ! [X10,X8,X9] :
        ( second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))) = unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10)))
        | unordered_pair(unordered_pair(X8,X8),unordered_pair(X8,unordered_pair(unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10))),unordered_pair(unordered_pair(X9,X9),unordered_pair(X9,unordered_pair(X10,X10)))))) != unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))) )
    | ~ spl0_15 ),
    inference(superposition,[],[f387,f377]) ).

fof(f1189,plain,
    ( spl0_59
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1180,f1108,f665,f1186]) ).

fof(f1186,plain,
    ( spl0_59
  <=> unordered_pair(null_class,unordered_pair(universal_class,null_class)) = second(unordered_pair(null_class,unordered_pair(universal_class,null_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1180,plain,
    ( unordered_pair(null_class,unordered_pair(universal_class,null_class)) = second(unordered_pair(null_class,unordered_pair(universal_class,null_class)))
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(superposition,[],[f666,f1110]) ).

fof(f666,plain,
    ( ! [X1] : unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)) = second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1157,plain,
    ( spl0_58
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1141,f375,f1154]) ).

fof(f1154,plain,
    ( spl0_58
  <=> 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_58])]) ).

fof(f1141,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,[],[f186,f377]) ).

fof(f186,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/sandbox2/benchmark/theBenchmark.p',singleton_in_unordered_pair1) ).

fof(f1152,plain,
    ( spl0_57
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1138,f375,f1149]) ).

fof(f1149,plain,
    ( spl0_57
  <=> 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_57])]) ).

fof(f1138,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,[],[f172,f377]) ).

fof(f172,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/sandbox2/benchmark/theBenchmark.p',singleton_member_of_ordered_pair) ).

fof(f1147,plain,
    ( spl0_56
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1140,f375,f1144]) ).

fof(f1140,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,[],[f197,f377]) ).

fof(f197,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/sandbox2/benchmark/theBenchmark.p',singleton_in_unordered_pair2) ).

fof(f1125,plain,
    ~ spl0_55,
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl0_55 ),
    inference(resolution,[],[f1122,f103]) ).

fof(f103,axiom,
    ! [X4] : ~ member(X4,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(f1122,plain,
    ( member(universal_class,null_class)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1120,plain,
    ( spl0_55
  <=> member(universal_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1123,plain,
    ( spl0_55
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1112,f1108,f857,f1120]) ).

fof(f857,plain,
    ( spl0_41
  <=> member(universal_class,unordered_pair(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1112,plain,
    ( member(universal_class,null_class)
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(backward_demodulation,[],[f859,f1110]) ).

fof(f859,plain,
    ( member(universal_class,unordered_pair(universal_class,universal_class))
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1118,plain,
    ( ~ spl0_54
    | spl0_44
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1113,f1108,f882,f1115]) ).

fof(f1115,plain,
    ( spl0_54
  <=> universal_class = unordered_pair(null_class,unordered_pair(universal_class,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f882,plain,
    ( spl0_44
  <=> 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_44])]) ).

fof(f1113,plain,
    ( universal_class != unordered_pair(null_class,unordered_pair(universal_class,null_class))
    | spl0_44
    | ~ spl0_53 ),
    inference(backward_demodulation,[],[f884,f1110]) ).

fof(f884,plain,
    ( universal_class != unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class)))
    | spl0_44 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f1111,plain,
    ( spl0_53
    | spl0_40 ),
    inference(avatar_split_clause,[],[f1105,f843,f1108]) ).

fof(f1105,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | spl0_40 ),
    inference(resolution,[],[f844,f219]) ).

fof(f1102,plain,
    ( spl0_29
    | ~ spl0_40
    | spl0_52 ),
    inference(avatar_split_clause,[],[f1084,f1100,f843,f686]) ).

fof(f686,plain,
    ( spl0_29
  <=> universal_class = null_class ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1100,plain,
    ( spl0_52
  <=> ! [X4,X5,X3] :
        ( unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(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))))))),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)))))))))) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))
        | 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))))))) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1084,plain,
    ! [X3,X4,X5] :
      ( unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(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))))))),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)))))))))) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))
      | ~ member(universal_class,universal_class)
      | 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))))))) = X3
      | universal_class = null_class ),
    inference(resolution,[],[f337,f240]) ).

fof(f337,plain,
    ! [X1] :
      ( 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)
      | ~ member(X1,universal_class)
      | null_class = X1 ),
    inference(forward_demodulation,[],[f336,f225]) ).

fof(f225,plain,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
    inference(definition_unfolding,[],[f28,f29]) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).

fof(f336,plain,
    ! [X1] :
      ( null_class = X1
      | ~ member(X1,universal_class)
      | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),choice),universal_class))))))),X1) ),
    inference(forward_demodulation,[],[f245,f225]) ).

fof(f245,plain,
    ! [X1] :
      ( member(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),choice),universal_class))))),element_relation)),X1)
      | ~ member(X1,universal_class)
      | null_class = X1 ),
    inference(definition_unfolding,[],[f70,f163]) ).

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

fof(f162,plain,
    ! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X5),universal_class)))),
    inference(definition_unfolding,[],[f42,f161,f29]) ).

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/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f39,axiom,
    ! [X4] : domain_of(inverse(X4)) = range_of(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).

fof(f42,axiom,
    ! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).

fof(f160,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(cross_product(universal_class,X0),element_relation)),
    inference(definition_unfolding,[],[f53,f29]) ).

fof(f53,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).

fof(f68,axiom,
    ! [X1,X8] : sum_class(image(X8,singleton(X1))) = apply(X8,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply) ).

fof(f70,axiom,
    ! [X1] :
      ( null_class = X1
      | member(apply(choice,X1),X1)
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice2) ).

fof(f1098,plain,
    ( ~ spl0_40
    | spl0_29
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1083,f1096,f686,f843]) ).

fof(f1096,plain,
    ( spl0_51
  <=> ! [X2,X0,X1] :
        ( 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))))))) = X0
        | unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(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))))))),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)))))))),unordered_pair(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))))))),unordered_pair(X2,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1083,plain,
    ! [X2,X0,X1] :
      ( 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))))))) = X0
      | universal_class = null_class
      | ~ member(universal_class,universal_class)
      | unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(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))))))),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)))))))),unordered_pair(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))))))),unordered_pair(X2,X2))) ),
    inference(resolution,[],[f337,f255]) ).

fof(f1061,plain,
    ( spl0_48
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1048,f1058,f1054,f1050]) ).

fof(f1050,plain,
    ( spl0_48
  <=> inductive(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1054,plain,
    ( spl0_49
  <=> member(null_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1058,plain,
    ( spl0_50
  <=> 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_50])]) ).

fof(f1048,plain,
    ( ~ function(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class)))))
    | ~ member(null_class,cross_product(universal_class,universal_class))
    | inductive(cross_product(universal_class,universal_class)) ),
    inference(resolution,[],[f62,f322]) ).

fof(f322,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(backward_demodulation,[],[f180,f225]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ member(null_class,X0)
      | inductive(X0)
      | ~ subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),successor_relation),universal_class)))),X0) ),
    inference(definition_unfolding,[],[f49,f162]) ).

fof(f49,axiom,
    ! [X0] :
      ( ~ member(null_class,X0)
      | ~ subclass(image(successor_relation,X0),X0)
      | inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive3) ).

fof(f1044,plain,
    ( ~ spl0_13
    | spl0_47 ),
    inference(avatar_split_clause,[],[f1039,f1041,f345]) ).

fof(f345,plain,
    ( spl0_13
  <=> member(null_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1041,plain,
    ( spl0_47
  <=> inductive(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1039,plain,
    ( inductive(universal_class)
    | ~ member(null_class,universal_class) ),
    inference(resolution,[],[f322,f4]) ).

fof(f1018,plain,
    ( spl0_46
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1013,f339,f1015]) ).

fof(f1015,plain,
    ( spl0_46
  <=> 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_46])]) ).

fof(f339,plain,
    ( spl0_12
  <=> inductive(omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1013,plain,
    ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))),omega)
    | ~ spl0_12 ),
    inference(resolution,[],[f321,f341]) ).

fof(f341,plain,
    ( inductive(omega)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f321,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0) ),
    inference(backward_demodulation,[],[f250,f225]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),successor_relation),universal_class)))),X0) ),
    inference(definition_unfolding,[],[f48,f162]) ).

fof(f48,axiom,
    ! [X0] :
      ( subclass(image(successor_relation,X0),X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive2) ).

fof(f950,plain,
    ( ~ spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f939,f857,f843]) ).

fof(f939,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_41 ),
    inference(resolution,[],[f858,f182]) ).

fof(f858,plain,
    ( ~ member(universal_class,unordered_pair(universal_class,universal_class))
    | spl0_41 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f949,plain,
    ( spl0_33
    | spl0_40 ),
    inference(avatar_split_clause,[],[f948,f843,f706]) ).

fof(f706,plain,
    ( spl0_33
  <=> universal_class = first(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f948,plain,
    ( universal_class = first(universal_class)
    | spl0_40 ),
    inference(resolution,[],[f365,f844]) ).

fof(f937,plain,
    ( spl0_45
    | spl0_43
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f931,f706,f874,f934]) ).

fof(f934,plain,
    ( spl0_45
  <=> universal_class = unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(second(universal_class),second(universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f874,plain,
    ( spl0_43
  <=> universal_class = second(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f931,plain,
    ( universal_class = second(universal_class)
    | universal_class = unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(second(universal_class),second(universal_class))))
    | ~ spl0_33 ),
    inference(superposition,[],[f205,f708]) ).

fof(f708,plain,
    ( universal_class = first(universal_class)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f885,plain,
    ( ~ spl0_44
    | spl0_20
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f817,f686,f478,f882]) ).

fof(f478,plain,
    ( spl0_20
  <=> 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_20])]) ).

fof(f817,plain,
    ( universal_class != unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(universal_class,universal_class)))
    | spl0_20
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f480,f688]) ).

fof(f688,plain,
    ( universal_class = null_class
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f480,plain,
    ( null_class != unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f877,plain,
    ( spl0_43
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f816,f686,f472,f874]) ).

fof(f472,plain,
    ( spl0_19
  <=> null_class = second(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f816,plain,
    ( universal_class = second(universal_class)
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f474,f688]) ).

fof(f474,plain,
    ( null_class = second(null_class)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f867,plain,
    ( spl0_42
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f807,f686,f407,f864]) ).

fof(f864,plain,
    ( spl0_42
  <=> member(universal_class,omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f407,plain,
    ( spl0_16
  <=> member(null_class,omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f807,plain,
    ( member(universal_class,omega)
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f409,f688]) ).

fof(f409,plain,
    ( member(null_class,omega)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f860,plain,
    ( spl0_41
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f799,f686,f276,f857]) ).

fof(f276,plain,
    ( spl0_4
  <=> member(null_class,unordered_pair(null_class,null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f799,plain,
    ( member(universal_class,unordered_pair(universal_class,universal_class))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f278,f688]) ).

fof(f278,plain,
    ( member(null_class,unordered_pair(null_class,null_class))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f846,plain,
    ( spl0_40
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f804,f686,f345,f843]) ).

fof(f804,plain,
    ( member(universal_class,universal_class)
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f347,f688]) ).

fof(f347,plain,
    ( member(null_class,universal_class)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f779,plain,
    ( ~ spl0_39
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f752,f659,f650,f776]) ).

fof(f776,plain,
    ( spl0_39
  <=> second(not_subclass_element(universal_class,universal_class)) = not_subclass_element(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f659,plain,
    ( spl0_23
  <=> second(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) = not_subclass_element(universal_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f752,plain,
    ( second(not_subclass_element(universal_class,universal_class)) != not_subclass_element(universal_class,universal_class)
    | ~ spl0_21
    | spl0_23 ),
    inference(backward_demodulation,[],[f660,f652]) ).

fof(f652,plain,
    ( universal_class = cross_product(universal_class,universal_class)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f660,plain,
    ( second(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) != not_subclass_element(universal_class,cross_product(universal_class,universal_class))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f772,plain,
    ( spl0_38
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f742,f650,f292,f769]) ).

fof(f769,plain,
    ( spl0_38
  <=> subset_relation = intersection(universal_class,intersection(universal_class,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f292,plain,
    ( spl0_7
  <=> 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_7])]) ).

fof(f742,plain,
    ( subset_relation = intersection(universal_class,intersection(universal_class,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f294,f652]) ).

fof(f294,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)))))))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f765,plain,
    ( ~ spl0_37
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f751,f654,f650,f762]) ).

fof(f762,plain,
    ( spl0_37
  <=> not_subclass_element(universal_class,universal_class) = first(not_subclass_element(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f654,plain,
    ( spl0_22
  <=> first(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) = not_subclass_element(universal_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f751,plain,
    ( not_subclass_element(universal_class,universal_class) != first(not_subclass_element(universal_class,universal_class))
    | ~ spl0_21
    | spl0_22 ),
    inference(backward_demodulation,[],[f655,f652]) ).

fof(f655,plain,
    ( first(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) != not_subclass_element(universal_class,cross_product(universal_class,universal_class))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f723,plain,
    ( spl0_36
    | spl0_29 ),
    inference(avatar_split_clause,[],[f568,f686,f721]) ).

fof(f721,plain,
    ( spl0_36
  <=> ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(regular(universal_class),regular(universal_class)),unordered_pair(regular(universal_class),unordered_pair(X2,X2)))
        | regular(universal_class) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f568,plain,
    ! [X2,X0,X1] :
      ( universal_class = null_class
      | unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(regular(universal_class),regular(universal_class)),unordered_pair(regular(universal_class),unordered_pair(X2,X2)))
      | regular(universal_class) = X0 ),
    inference(resolution,[],[f66,f255]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f718,plain,
    ( spl0_35
    | spl0_29 ),
    inference(avatar_split_clause,[],[f569,f686,f716]) ).

fof(f716,plain,
    ( spl0_35
  <=> ! [X4,X5,X3] :
        ( unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(regular(universal_class),regular(universal_class))))
        | regular(universal_class) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f569,plain,
    ! [X3,X4,X5] :
      ( universal_class = null_class
      | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(regular(universal_class),regular(universal_class))))
      | regular(universal_class) = X3 ),
    inference(resolution,[],[f66,f240]) ).

fof(f714,plain,
    ( spl0_34
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f355,f266,f711]) ).

fof(f355,plain,
    ( member(v,universal_class)
    | ~ spl0_2 ),
    inference(resolution,[],[f178,f268]) ).

fof(f709,plain,
    ( spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f454,f706,f703]) ).

fof(f703,plain,
    ( spl0_32
  <=> ! [X4,X5,X3] :
        ( unordered_pair(first(universal_class),first(universal_class)) = X3
        | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),first(universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f454,plain,
    ! [X3,X4,X5] :
      ( universal_class = first(universal_class)
      | unordered_pair(first(universal_class),first(universal_class)) = X3
      | unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))) != unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(unordered_pair(first(universal_class),first(universal_class)),unordered_pair(first(universal_class),first(universal_class))))) ),
    inference(resolution,[],[f364,f240]) ).

fof(f364,plain,
    ! [X9] :
      ( member(unordered_pair(first(X9),first(X9)),X9)
      | first(X9) = X9 ),
    inference(superposition,[],[f172,f196]) ).

fof(f698,plain,
    ( spl0_31
    | spl0_9 ),
    inference(avatar_split_clause,[],[f694,f301,f696]) ).

fof(f694,plain,
    ! [X8,X7] :
      ( member(X8,universal_class)
      | unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class)) = first(unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,null_class))) ),
    inference(forward_subsumption_demodulation,[],[f443,f219]) ).

fof(f443,plain,
    ! [X8,X7] :
      ( member(X8,universal_class)
      | first(unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(X8,X8)))) = unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(X8,X8))) ),
    inference(resolution,[],[f384,f178]) ).

fof(f693,plain,
    ( spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f424,f691,f686]) ).

fof(f691,plain,
    ( spl0_30
  <=> ! [X2,X3,X4] :
        ( not_subclass_element(universal_class,null_class) = X2
        | unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))) != 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(X4,X4))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f424,plain,
    ! [X2,X3,X4] :
      ( not_subclass_element(universal_class,null_class) = X2
      | universal_class = null_class
      | unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))) != 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(X4,X4))) ),
    inference(resolution,[],[f106,f255]) ).

fof(f106,axiom,
    ! [X4] :
      ( member(not_subclass_element(X4,null_class),X4)
      | null_class = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).

fof(f689,plain,
    ( spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f425,f686,f683]) ).

fof(f683,plain,
    ( spl0_28
  <=> ! [X6,X5,X7] :
        ( unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X5,X5)))
        | not_subclass_element(universal_class,null_class) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f425,plain,
    ! [X6,X7,X5] :
      ( universal_class = null_class
      | unordered_pair(unordered_pair(X7,X7),unordered_pair(X7,unordered_pair(not_subclass_element(universal_class,null_class),not_subclass_element(universal_class,null_class)))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X5,X5)))
      | not_subclass_element(universal_class,null_class) = X5 ),
    inference(resolution,[],[f106,f240]) ).

fof(f681,plain,
    ( spl0_27
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f357,f266,f678]) ).

fof(f357,plain,
    ( member(u,universal_class)
    | ~ spl0_2 ),
    inference(resolution,[],[f242,f268]) ).

fof(f676,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f622,f266,f673,f669]) ).

fof(f622,plain,
    ( member(second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),universal_class)
    | 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_2 ),
    inference(resolution,[],[f363,f268]) ).

fof(f667,plain,
    ( spl0_9
    | spl0_24 ),
    inference(avatar_split_clause,[],[f663,f665,f301]) ).

fof(f663,plain,
    ! [X0,X1] :
      ( unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)) = second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class)))
      | member(X0,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f356,f219]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))) = second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))) ),
    inference(resolution,[],[f178,f343]) ).

fof(f662,plain,
    ( spl0_23
    | spl0_21
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f648,f301,f650,f659]) ).

fof(f648,plain,
    ( universal_class = cross_product(universal_class,universal_class)
    | second(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) = not_subclass_element(universal_class,cross_product(universal_class,universal_class))
    | ~ spl0_9 ),
    inference(resolution,[],[f564,f343]) ).

fof(f564,plain,
    ( ! [X4] :
        ( ~ member(not_subclass_element(universal_class,X4),X4)
        | universal_class = X4 )
    | ~ spl0_9 ),
    inference(resolution,[],[f101,f302]) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | ~ member(not_subclass_element(X1,X0),X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4) ).

fof(f657,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f647,f301,f654,f650]) ).

fof(f647,plain,
    ( first(not_subclass_element(universal_class,cross_product(universal_class,universal_class))) = not_subclass_element(universal_class,cross_product(universal_class,universal_class))
    | universal_class = cross_product(universal_class,universal_class)
    | ~ spl0_9 ),
    inference(resolution,[],[f564,f384]) ).

fof(f481,plain,
    ( ~ spl0_20
    | spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f476,f472,f468,f478]) ).

fof(f468,plain,
    ( spl0_18
  <=> null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(second(null_class),second(null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f476,plain,
    ( null_class != unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(null_class,null_class)))
    | spl0_18
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f469,f474]) ).

fof(f469,plain,
    ( null_class != unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(second(null_class),second(null_class))))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f475,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f465,f459,f472,f468]) ).

fof(f459,plain,
    ( spl0_17
  <=> null_class = first(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f465,plain,
    ( null_class = second(null_class)
    | null_class = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(second(null_class),second(null_class))))
    | ~ spl0_17 ),
    inference(superposition,[],[f205,f461]) ).

fof(f461,plain,
    ( null_class = first(null_class)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f462,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f457,f459]) ).

fof(f457,plain,
    null_class = first(null_class),
    inference(resolution,[],[f364,f103]) ).

fof(f410,plain,
    ( spl0_16
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f405,f339,f407]) ).

fof(f405,plain,
    ( member(null_class,omega)
    | ~ spl0_12 ),
    inference(resolution,[],[f47,f341]) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ inductive(X0)
      | member(null_class,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).

fof(f378,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f372,f266,f375]) ).

fof(f372,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_2 ),
    inference(resolution,[],[f227,f268]) ).

fof(f227,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] :
      ( ordered_pair(first(X4),second(X4)) = X4
      | ~ member(X4,cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f353,plain,
    ~ spl0_14,
    inference(avatar_split_clause,[],[f188,f350]) ).

fof(f188,plain,
    v != second(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v)))),
    inference(definition_unfolding,[],[f159,f164]) ).

fof(f159,axiom,
    v != second(ordered_pair(u,v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_2) ).

fof(f348,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f107,f345]) ).

fof(f107,axiom,
    member(null_class,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_a_set) ).

fof(f342,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f50,f339]) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).

fof(f316,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f69,f313]) ).

fof(f313,plain,
    ( spl0_11
  <=> function(choice) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f69,axiom,
    function(choice),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice1) ).

fof(f311,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f307,f309,f301]) ).

fof(f309,plain,
    ( spl0_10
  <=> ! [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_10])]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( unordered_pair(null_class,unordered_pair(null_class,null_class)) = unordered_pair(null_class,unordered_pair(X0,null_class))
      | member(X1,universal_class)
      | member(X0,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f306,f219]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | unordered_pair(null_class,unordered_pair(X0,unordered_pair(X1,X1))) = unordered_pair(null_class,unordered_pair(null_class,null_class))
      | member(X1,universal_class) ),
    inference(forward_subsumption_demodulation,[],[f249,f219]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) = unordered_pair(null_class,unordered_pair(null_class,null_class))
      | member(X1,universal_class)
      | member(X0,universal_class) ),
    inference(definition_unfolding,[],[f150,f164,f12]) ).

fof(f150,axiom,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | member(X0,universal_class)
      | ordered_pair(X0,X1) = unordered_pair(null_class,singleton(null_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_3_of_ordered_pair) ).

fof(f303,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f296,f301,f298]) ).

fof(f296,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,[],[f190,f219]) ).

fof(f190,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(X3,universal_class)
      | ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_cartesian_product) ).

fof(f295,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f215,f292]) ).

fof(f215,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/sandbox2/benchmark/theBenchmark.p',subset_relation) ).

fof(f290,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f208,f287]) ).

fof(f287,plain,
    ( spl0_6
  <=> identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f208,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/sandbox2/benchmark/theBenchmark.p',identity_relation) ).

fof(f284,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f18,f281]) ).

fof(f18,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation1) ).

fof(f279,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f234,f276]) ).

fof(f234,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/sandbox2/benchmark/theBenchmark.p',null_class_in_its_singleton) ).

fof(f274,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f44,f271]) ).

fof(f44,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation1) ).

fof(f269,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f239,f266]) ).

fof(f239,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/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_1) ).

fof(f264,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f52,f261]) ).

fof(f261,plain,
    ( spl0_1
  <=> member(omega,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_in_universal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET021-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n029.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 13:05:27 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.18/0.46  % (25456)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (25449)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)
% 0.18/0.51  % (25446)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)
% 0.18/0.52  % (25451)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)
% 0.18/0.52  % (25460)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)
% 0.18/0.52  % (25468)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)
% 0.18/0.52  % (25458)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (25455)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)
% 0.18/0.53  % (25466)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)
% 0.18/0.53  % (25452)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)
% 0.18/0.53  % (25459)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (25462)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)
% 0.18/0.53  % (25471)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (25454)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (25454)Instruction limit reached!
% 0.18/0.53  % (25454)------------------------------
% 0.18/0.53  % (25454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25454)Termination reason: Unknown
% 0.18/0.53  % (25454)Termination phase: Function definition elimination
% 0.18/0.53  
% 0.18/0.53  % (25454)Memory used [KB]: 1023
% 0.18/0.53  % (25454)Time elapsed: 0.002 s
% 0.18/0.53  % (25454)Instructions burned: 2 (million)
% 0.18/0.53  % (25454)------------------------------
% 0.18/0.53  % (25454)------------------------------
% 0.18/0.54  % (25473)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)
% 0.18/0.54  % (25461)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)
% 0.18/0.54  % (25474)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.54  % (25463)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (25448)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)
% 0.18/0.54  % (25453)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (25450)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54  % (25445)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)
% 0.18/0.54  % (25472)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)
% 0.18/0.55  % (25465)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)
% 0.18/0.55  % (25457)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)
% 0.18/0.55  % (25469)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)
% 0.18/0.55  % (25470)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.55  % (25464)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.56  % (25475)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)
% 0.18/0.57  % (25453)Instruction limit reached!
% 0.18/0.57  % (25453)------------------------------
% 0.18/0.57  % (25453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (25453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (25453)Termination reason: Unknown
% 0.18/0.57  % (25453)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (25453)Memory used [KB]: 5500
% 0.18/0.57  % (25453)Time elapsed: 0.171 s
% 0.18/0.57  % (25453)Instructions burned: 8 (million)
% 0.18/0.57  % (25453)------------------------------
% 0.18/0.57  % (25453)------------------------------
% 0.18/0.57  % (25456)Instruction limit reached!
% 0.18/0.57  % (25456)------------------------------
% 0.18/0.57  % (25456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (25456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (25456)Termination reason: Unknown
% 0.18/0.57  % (25456)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (25456)Memory used [KB]: 6268
% 0.18/0.57  % (25456)Time elapsed: 0.178 s
% 0.18/0.57  % (25456)Instructions burned: 51 (million)
% 0.18/0.57  % (25456)------------------------------
% 0.18/0.57  % (25456)------------------------------
% 0.18/0.57  % (25467)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.58  % (25449)Instruction limit reached!
% 0.18/0.58  % (25449)------------------------------
% 0.18/0.58  % (25449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (25449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (25449)Termination reason: Unknown
% 0.18/0.59  % (25449)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (25449)Memory used [KB]: 6652
% 0.18/0.59  % (25449)Time elapsed: 0.184 s
% 0.18/0.59  % (25449)Instructions burned: 52 (million)
% 0.18/0.59  % (25449)------------------------------
% 0.18/0.59  % (25449)------------------------------
% 0.18/0.60  % (25448)Instruction limit reached!
% 0.18/0.60  % (25448)------------------------------
% 0.18/0.60  % (25448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (25448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.60  % (25448)Termination reason: Unknown
% 0.18/0.60  % (25448)Termination phase: Saturation
% 0.18/0.60  
% 0.18/0.60  % (25448)Memory used [KB]: 1535
% 0.18/0.60  % (25448)Time elapsed: 0.210 s
% 0.18/0.60  % (25448)Instructions burned: 37 (million)
% 0.18/0.60  % (25448)------------------------------
% 0.18/0.60  % (25448)------------------------------
% 0.18/0.61  % (25452)Instruction limit reached!
% 0.18/0.61  % (25452)------------------------------
% 0.18/0.61  % (25452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.61  % (25452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61  % (25452)Termination reason: Unknown
% 0.18/0.61  % (25452)Termination phase: Finite model building preprocessing
% 0.18/0.61  
% 0.18/0.61  % (25452)Memory used [KB]: 1535
% 0.18/0.61  % (25452)Time elapsed: 0.025 s
% 0.18/0.61  % (25452)Instructions burned: 52 (million)
% 0.18/0.61  % (25452)------------------------------
% 0.18/0.61  % (25452)------------------------------
% 2.08/0.62  % (25450)Instruction limit reached!
% 2.08/0.62  % (25450)------------------------------
% 2.08/0.62  % (25450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.62  % (25450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.62  % (25450)Termination reason: Unknown
% 2.08/0.62  % (25450)Termination phase: Saturation
% 2.08/0.62  
% 2.08/0.62  % (25450)Memory used [KB]: 6268
% 2.08/0.62  % (25450)Time elapsed: 0.191 s
% 2.08/0.62  % (25450)Instructions burned: 51 (million)
% 2.08/0.62  % (25450)------------------------------
% 2.08/0.62  % (25450)------------------------------
% 2.08/0.62  % (25451)Instruction limit reached!
% 2.08/0.62  % (25451)------------------------------
% 2.08/0.62  % (25451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.62  % (25451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.62  % (25451)Termination reason: Unknown
% 2.08/0.62  % (25451)Termination phase: Saturation
% 2.08/0.62  
% 2.08/0.62  % (25451)Memory used [KB]: 6140
% 2.08/0.62  % (25451)Time elapsed: 0.232 s
% 2.08/0.62  % (25451)Instructions burned: 49 (million)
% 2.08/0.62  % (25451)------------------------------
% 2.08/0.62  % (25451)------------------------------
% 2.29/0.63  % (25455)Instruction limit reached!
% 2.29/0.63  % (25455)------------------------------
% 2.29/0.63  % (25455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.63  % (25455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.63  % (25455)Termination reason: Unknown
% 2.29/0.63  % (25455)Termination phase: Saturation
% 2.29/0.63  
% 2.29/0.63  % (25455)Memory used [KB]: 1918
% 2.29/0.63  % (25455)Time elapsed: 0.221 s
% 2.29/0.63  % (25455)Instructions burned: 51 (million)
% 2.29/0.63  % (25455)------------------------------
% 2.29/0.63  % (25455)------------------------------
% 2.35/0.64  % (25463)Instruction limit reached!
% 2.35/0.64  % (25463)------------------------------
% 2.35/0.64  % (25463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.64  % (25463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.64  % (25463)Termination reason: Unknown
% 2.35/0.64  % (25463)Termination phase: Finite model building preprocessing
% 2.35/0.64  
% 2.35/0.64  % (25463)Memory used [KB]: 1791
% 2.35/0.64  % (25463)Time elapsed: 0.027 s
% 2.35/0.64  % (25463)Instructions burned: 59 (million)
% 2.35/0.64  % (25463)------------------------------
% 2.35/0.64  % (25463)------------------------------
% 2.35/0.64  % (25446)Instruction limit reached!
% 2.35/0.64  % (25446)------------------------------
% 2.35/0.64  % (25446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.64  % (25446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.64  % (25446)Termination reason: Unknown
% 2.35/0.64  % (25446)Termination phase: Saturation
% 2.35/0.64  
% 2.35/0.64  % (25446)Memory used [KB]: 6396
% 2.35/0.64  % (25446)Time elapsed: 0.225 s
% 2.35/0.64  % (25446)Instructions burned: 51 (million)
% 2.35/0.64  % (25446)------------------------------
% 2.35/0.64  % (25446)------------------------------
% 2.35/0.68  % (25460)Instruction limit reached!
% 2.35/0.68  % (25460)------------------------------
% 2.35/0.68  % (25460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68  % (25460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68  % (25460)Termination reason: Unknown
% 2.35/0.68  % (25460)Termination phase: Saturation
% 2.35/0.68  
% 2.35/0.68  % (25460)Memory used [KB]: 6908
% 2.35/0.68  % (25460)Time elapsed: 0.044 s
% 2.35/0.68  % (25460)Instructions burned: 69 (million)
% 2.35/0.68  % (25460)------------------------------
% 2.35/0.68  % (25460)------------------------------
% 2.35/0.68  % (25478)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 (2997ds/388Mi)
% 2.35/0.69  % (25461)Instruction limit reached!
% 2.35/0.69  % (25461)------------------------------
% 2.35/0.69  % (25461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69  % (25461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69  % (25461)Termination reason: Unknown
% 2.35/0.69  % (25461)Termination phase: Saturation
% 2.35/0.69  
% 2.35/0.69  % (25461)Memory used [KB]: 2046
% 2.35/0.69  % (25461)Time elapsed: 0.289 s
% 2.35/0.69  % (25461)Instructions burned: 75 (million)
% 2.35/0.69  % (25461)------------------------------
% 2.35/0.69  % (25461)------------------------------
% 2.35/0.70  % (25472)Instruction limit reached!
% 2.35/0.70  % (25472)------------------------------
% 2.35/0.70  % (25472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.70  % (25472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.70  % (25472)Termination reason: Unknown
% 2.35/0.70  % (25472)Termination phase: Saturation
% 2.35/0.70  
% 2.35/0.70  % (25472)Memory used [KB]: 6780
% 2.35/0.70  % (25472)Time elapsed: 0.038 s
% 2.35/0.70  % (25472)Instructions burned: 68 (million)
% 2.35/0.70  % (25472)------------------------------
% 2.35/0.70  % (25472)------------------------------
% 2.78/0.72  % (25459)Instruction limit reached!
% 2.78/0.72  % (25459)------------------------------
% 2.78/0.72  % (25459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.72  % (25459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.72  % (25459)Termination reason: Unknown
% 2.78/0.72  % (25459)Termination phase: Saturation
% 2.78/0.72  
% 2.78/0.72  % (25459)Memory used [KB]: 7164
% 2.78/0.72  % (25459)Time elapsed: 0.318 s
% 2.78/0.72  % (25459)Instructions burned: 100 (million)
% 2.78/0.72  % (25459)------------------------------
% 2.78/0.72  % (25459)------------------------------
% 2.78/0.73  % (25479)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)
% 2.78/0.73  % (25462)Instruction limit reached!
% 2.78/0.73  % (25462)------------------------------
% 2.78/0.73  % (25462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.73  % (25462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.73  % (25462)Termination reason: Unknown
% 2.78/0.73  % (25462)Termination phase: Saturation
% 2.78/0.73  
% 2.78/0.73  % (25462)Memory used [KB]: 6780
% 2.78/0.73  % (25462)Time elapsed: 0.327 s
% 2.78/0.73  % (25462)Instructions burned: 99 (million)
% 2.78/0.73  % (25462)------------------------------
% 2.78/0.73  % (25462)------------------------------
% 2.78/0.73  % (25464)Instruction limit reached!
% 2.78/0.73  % (25464)------------------------------
% 2.78/0.73  % (25464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.73  % (25464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.73  % (25464)Termination reason: Unknown
% 2.78/0.73  % (25464)Termination phase: Saturation
% 2.78/0.73  
% 2.78/0.73  % (25464)Memory used [KB]: 6780
% 2.78/0.73  % (25464)Time elapsed: 0.317 s
% 2.78/0.73  % (25464)Instructions burned: 100 (million)
% 2.78/0.73  % (25464)------------------------------
% 2.78/0.73  % (25464)------------------------------
% 2.78/0.74  % (25458)Instruction limit reached!
% 2.78/0.74  % (25458)------------------------------
% 2.78/0.74  % (25458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.74  % (25458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.74  % (25458)Termination reason: Unknown
% 2.78/0.74  % (25458)Termination phase: Saturation
% 2.78/0.74  
% 2.78/0.74  % (25458)Memory used [KB]: 7036
% 2.78/0.74  % (25458)Time elapsed: 0.340 s
% 2.78/0.74  % (25458)Instructions burned: 102 (million)
% 2.78/0.74  % (25458)------------------------------
% 2.78/0.74  % (25458)------------------------------
% 3.15/0.77  % (25457)Instruction limit reached!
% 3.15/0.77  % (25457)------------------------------
% 3.15/0.77  % (25457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.77  % (25457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.77  % (25457)Termination reason: Unknown
% 3.15/0.77  % (25457)Termination phase: Saturation
% 3.15/0.77  
% 3.15/0.77  % (25457)Memory used [KB]: 7547
% 3.15/0.77  % (25457)Time elapsed: 0.355 s
% 3.15/0.77  % (25457)Instructions burned: 101 (million)
% 3.15/0.77  % (25457)------------------------------
% 3.15/0.77  % (25457)------------------------------
% 3.15/0.77  % (25502)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)
% 3.15/0.78  % (25465)Instruction limit reached!
% 3.15/0.78  % (25465)------------------------------
% 3.15/0.78  % (25465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.78  % (25465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.78  % (25465)Termination reason: Unknown
% 3.15/0.78  % (25465)Termination phase: Saturation
% 3.15/0.78  
% 3.15/0.78  % (25465)Memory used [KB]: 2302
% 3.15/0.78  % (25465)Time elapsed: 0.369 s
% 3.15/0.78  % (25465)Instructions burned: 102 (million)
% 3.15/0.78  % (25465)------------------------------
% 3.15/0.78  % (25465)------------------------------
% 3.15/0.78  % (25495)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.15/0.78  % (25480)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)
% 3.15/0.79  % (25501)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)
% 3.15/0.79  % (25487)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.15/0.80  % (25498)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)
% 3.15/0.80  % (25503)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)
% 3.15/0.81  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.15/0.81  % (25504)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)
% 3.15/0.82  % (25507)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.15/0.83  % (25467)Instruction limit reached!
% 3.15/0.83  % (25467)------------------------------
% 3.15/0.83  % (25467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.83  % (25467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.83  % (25467)Termination reason: Unknown
% 3.15/0.83  % (25467)Termination phase: Saturation
% 3.15/0.83  
% 3.15/0.83  % (25467)Memory used [KB]: 7036
% 3.15/0.83  % (25467)Time elapsed: 0.380 s
% 3.15/0.83  % (25467)Instructions burned: 139 (million)
% 3.15/0.83  % (25467)------------------------------
% 3.15/0.83  % (25467)------------------------------
% 3.15/0.83  % (25505)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 (2996ds/90Mi)
% 3.58/0.86  % (25506)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 (2996ds/2016Mi)
% 3.58/0.86  % (25515)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.58/0.87  % (25508)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)
% 3.58/0.89  % (25516)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)
% 3.70/0.89  % (25509)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)
% 3.70/0.91  % (25466)Instruction limit reached!
% 3.70/0.91  % (25466)------------------------------
% 3.70/0.91  % (25466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/0.91  % (25466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/0.91  % (25466)Termination reason: Unknown
% 3.70/0.91  % (25466)Termination phase: Saturation
% 3.70/0.91  
% 3.70/0.91  % (25466)Memory used [KB]: 7547
% 3.70/0.91  % (25466)Time elapsed: 0.472 s
% 3.70/0.91  % (25466)Instructions burned: 176 (million)
% 3.70/0.91  % (25466)------------------------------
% 3.70/0.91  % (25466)------------------------------
% 3.70/0.92  % (25502)Instruction limit reached!
% 3.70/0.92  % (25502)------------------------------
% 3.70/0.92  % (25502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/0.92  % (25502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/0.92  % (25502)Termination reason: Unknown
% 3.70/0.92  % (25502)Termination phase: Saturation
% 3.70/0.92  
% 3.70/0.92  % (25502)Memory used [KB]: 6908
% 3.70/0.92  % (25502)Time elapsed: 0.042 s
% 3.70/0.92  % (25502)Instructions burned: 69 (million)
% 3.70/0.92  % (25502)------------------------------
% 3.70/0.92  % (25502)------------------------------
% 3.88/0.93  % (25525)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 (2995ds/1824Mi)
% 3.90/0.94  % (25519)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 (2995ds/68Mi)
% 3.90/0.96  % (25530)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 (2995ds/2134Mi)
% 3.90/0.97  % (25473)Instruction limit reached!
% 3.90/0.97  % (25473)------------------------------
% 3.90/0.97  % (25473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.97  % (25473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.97  % (25473)Termination reason: Unknown
% 3.90/0.97  % (25473)Termination phase: Saturation
% 3.90/0.97  
% 3.90/0.97  % (25473)Memory used [KB]: 3070
% 3.90/0.97  % (25473)Time elapsed: 0.530 s
% 3.90/0.97  % (25473)Instructions burned: 178 (million)
% 3.90/0.97  % (25473)------------------------------
% 3.90/0.97  % (25473)------------------------------
% 3.90/0.97  % (25480)Instruction limit reached!
% 3.90/0.97  % (25480)------------------------------
% 3.90/0.97  % (25480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.97  % (25505)Instruction limit reached!
% 3.90/0.97  % (25505)------------------------------
% 3.90/0.97  % (25505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.97  % (25505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.97  % (25505)Termination reason: Unknown
% 3.90/0.98  % (25505)Termination phase: Saturation
% 3.90/0.98  
% 3.90/0.98  % (25505)Memory used [KB]: 6652
% 3.90/0.98  % (25505)Time elapsed: 0.295 s
% 3.90/0.98  % (25505)Instructions burned: 90 (million)
% 3.90/0.98  % (25505)------------------------------
% 3.90/0.98  % (25505)------------------------------
% 3.90/0.98  % (25480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.98  % (25480)Termination reason: Unknown
% 3.90/0.98  % (25480)Termination phase: Saturation
% 3.90/0.98  
% 3.90/0.98  % (25480)Memory used [KB]: 6524
% 3.90/0.98  % (25480)Time elapsed: 0.336 s
% 3.90/0.98  % (25480)Instructions burned: 91 (million)
% 3.90/0.98  % (25480)------------------------------
% 3.90/0.98  % (25480)------------------------------
% 3.90/0.99  % (25539)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 4.22/1.02  % (25479)Instruction limit reached!
% 4.22/1.02  % (25479)------------------------------
% 4.22/1.02  % (25479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.22/1.03  % (25546)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.22/1.04  % (25479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.22/1.04  % (25479)Termination reason: Unknown
% 4.22/1.04  % (25479)Termination phase: Saturation
% 4.22/1.04  
% 4.22/1.04  % (25479)Memory used [KB]: 2558
% 4.22/1.04  % (25479)Time elapsed: 0.383 s
% 4.22/1.04  % (25479)Instructions burned: 211 (million)
% 4.22/1.04  % (25479)------------------------------
% 4.22/1.04  % (25479)------------------------------
% 4.39/1.08  % (25548)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 (2994ds/90Mi)
% 4.39/1.09  % (25519)Instruction limit reached!
% 4.39/1.09  % (25519)------------------------------
% 4.39/1.09  % (25519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.09  % (25519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.09  % (25519)Termination reason: Unknown
% 4.39/1.09  % (25519)Termination phase: Saturation
% 4.39/1.09  
% 4.39/1.09  % (25519)Memory used [KB]: 6908
% 4.39/1.09  % (25519)Time elapsed: 0.038 s
% 4.39/1.09  % (25519)Instructions burned: 70 (million)
% 4.39/1.09  % (25519)------------------------------
% 4.39/1.09  % (25519)------------------------------
% 4.39/1.11  % (25561)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 4.39/1.14  % (25560)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 (2993ds/2016Mi)
% 4.39/1.16  TRYING [1]
% 6.56/1.18  % (25563)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 (2993ds/9965Mi)
% 6.56/1.19  % (25469)Instruction limit reached!
% 6.56/1.19  % (25469)------------------------------
% 6.56/1.19  % (25469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.56/1.19  % (25469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.56/1.19  % (25469)Termination reason: Unknown
% 6.56/1.19  % (25469)Termination phase: Saturation
% 6.56/1.19  
% 6.56/1.19  % (25469)Memory used [KB]: 12792
% 6.56/1.19  % (25469)Time elapsed: 0.791 s
% 6.56/1.19  % (25469)Instructions burned: 468 (million)
% 6.56/1.19  % (25469)------------------------------
% 6.56/1.19  % (25469)------------------------------
% 6.56/1.19  TRYING [2]
% 6.84/1.24  % (25567)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 7.15/1.25  % (25572)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 (2992ds/9902Mi)
% 7.15/1.26  % (25474)Instruction limit reached!
% 7.15/1.26  % (25474)------------------------------
% 7.15/1.26  % (25474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.26  % (25474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.26  % (25474)Termination reason: Unknown
% 7.15/1.26  % (25474)Termination phase: Saturation
% 7.15/1.26  
% 7.15/1.26  % (25474)Memory used [KB]: 11769
% 7.15/1.26  % (25474)Time elapsed: 0.826 s
% 7.15/1.26  % (25474)Instructions burned: 441 (million)
% 7.15/1.26  % (25474)------------------------------
% 7.15/1.26  % (25474)------------------------------
% 7.15/1.26  % (25548)Instruction limit reached!
% 7.15/1.26  % (25548)------------------------------
% 7.15/1.26  % (25548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.26  % (25548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.26  % (25548)Termination reason: Unknown
% 7.15/1.26  % (25548)Termination phase: Saturation
% 7.15/1.26  
% 7.15/1.26  % (25548)Memory used [KB]: 6524
% 7.15/1.26  % (25548)Time elapsed: 0.306 s
% 7.15/1.26  % (25548)Instructions burned: 92 (million)
% 7.15/1.26  % (25548)------------------------------
% 7.15/1.26  % (25548)------------------------------
% 7.15/1.33  % (25586)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 (2991ds/1824Mi)
% 7.83/1.35  % (25475)Instruction limit reached!
% 7.83/1.35  % (25475)------------------------------
% 7.83/1.35  % (25475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.83/1.35  % (25475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.83/1.35  % (25475)Termination reason: Unknown
% 7.83/1.35  % (25475)Termination phase: Saturation
% 7.83/1.35  
% 7.83/1.35  % (25475)Memory used [KB]: 9338
% 7.83/1.35  % (25475)Time elapsed: 0.918 s
% 7.83/1.35  % (25475)Instructions burned: 355 (million)
% 7.83/1.35  % (25475)------------------------------
% 7.83/1.35  % (25475)------------------------------
% 8.19/1.40  % (25619)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.19/1.41  % (25468)Instruction limit reached!
% 8.19/1.41  % (25468)------------------------------
% 8.19/1.41  % (25468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.19/1.41  % (25468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.19/1.41  % (25468)Termination reason: Unknown
% 8.19/1.41  % (25468)Termination phase: Saturation
% 8.19/1.41  
% 8.19/1.41  % (25468)Memory used [KB]: 2942
% 8.19/1.41  % (25468)Time elapsed: 0.942 s
% 8.19/1.41  % (25468)Instructions burned: 498 (million)
% 8.19/1.41  % (25468)------------------------------
% 8.19/1.41  % (25468)------------------------------
% 8.19/1.41  % (25617)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 8.68/1.46  % (25470)Instruction limit reached!
% 8.68/1.46  % (25470)------------------------------
% 8.68/1.46  % (25470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/1.46  % (25470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/1.46  % (25470)Termination reason: Unknown
% 8.68/1.46  % (25470)Termination phase: Saturation
% 8.68/1.46  
% 8.68/1.46  % (25470)Memory used [KB]: 10874
% 8.68/1.46  % (25470)Time elapsed: 1.071 s
% 8.68/1.46  % (25470)Instructions burned: 482 (million)
% 8.68/1.46  % (25470)------------------------------
% 8.68/1.46  % (25470)------------------------------
% 8.68/1.49  % (25478)Instruction limit reached!
% 8.68/1.49  % (25478)------------------------------
% 8.68/1.49  % (25478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/1.49  % (25478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/1.49  % (25478)Termination reason: Unknown
% 8.68/1.49  % (25478)Termination phase: Saturation
% 8.68/1.49  
% 8.68/1.49  % (25478)Memory used [KB]: 9466
% 8.68/1.49  % (25478)Time elapsed: 0.903 s
% 8.68/1.49  % (25478)Instructions burned: 389 (million)
% 8.68/1.49  % (25478)------------------------------
% 8.68/1.49  % (25478)------------------------------
% 9.01/1.51  % (25471)Instruction limit reached!
% 9.01/1.51  % (25471)------------------------------
% 9.01/1.51  % (25471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.01/1.51  % (25471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.01/1.51  % (25471)Termination reason: Unknown
% 9.01/1.51  % (25471)Termination phase: Saturation
% 9.01/1.51  
% 9.01/1.51  % (25471)Memory used [KB]: 10618
% 9.01/1.51  % (25471)Time elapsed: 1.085 s
% 9.01/1.51  % (25471)Instructions burned: 500 (million)
% 9.01/1.51  % (25471)------------------------------
% 9.01/1.51  % (25471)------------------------------
% 9.01/1.53  TRYING [3]
% 9.26/1.55  % (25701)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 (2989ds/44001Mi)
% 9.26/1.56  % (25659)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 (2989ds/90Mi)
% 9.26/1.59  % (25725)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 (2988ds/4958Mi)
% 9.26/1.63  % (25735)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 (2988ds/35256Mi)
% 9.77/1.66  % (25744)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 (2988ds/32293Mi)
% 10.07/1.70  % (25508)First to succeed.
% 10.07/1.70  % (25659)Instruction limit reached!
% 10.07/1.70  % (25659)------------------------------
% 10.07/1.70  % (25659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.07/1.70  % (25659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.07/1.70  % (25659)Termination reason: Unknown
% 10.07/1.70  % (25659)Termination phase: Saturation
% 10.07/1.70  
% 10.07/1.70  % (25659)Memory used [KB]: 6652
% 10.07/1.70  % (25659)Time elapsed: 0.212 s
% 10.07/1.70  % (25659)Instructions burned: 90 (million)
% 10.07/1.70  % (25659)------------------------------
% 10.07/1.70  % (25659)------------------------------
% 10.07/1.73  % (25508)Refutation found. Thanks to Tanya!
% 10.07/1.73  % SZS status Unsatisfiable for theBenchmark
% 10.07/1.73  % SZS output start Proof for theBenchmark
% See solution above
% 10.07/1.73  % (25508)------------------------------
% 10.07/1.73  % (25508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.07/1.73  % (25508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.07/1.73  % (25508)Termination reason: Refutation
% 10.07/1.73  
% 10.07/1.73  % (25508)Memory used [KB]: 3454
% 10.07/1.73  % (25508)Time elapsed: 0.957 s
% 10.07/1.73  % (25508)Instructions burned: 546 (million)
% 10.07/1.73  % (25508)------------------------------
% 10.07/1.73  % (25508)------------------------------
% 10.07/1.73  % (25444)Success in time 1.395 s
%------------------------------------------------------------------------------