TSTP Solution File: SET156-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET156-6 : 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 : n015.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 18:23:59 EDT 2022

% Result   : Unsatisfiable 1.47s 0.58s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   66 (  17 unt;   0 def)
%            Number of atoms       :  133 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  140 (  73   ~;  67   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f337,plain,
    $false,
    inference(subsumption_resolution,[],[f336,f305]) ).

fof(f305,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class),
    inference(resolution,[],[f303,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

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

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f303,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))),
    inference(subsumption_resolution,[],[f301,f263]) ).

fof(f263,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x)
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f261,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f261,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(subsumption_resolution,[],[f259,f237]) ).

fof(f237,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f193,f228]) ).

fof(f228,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f224,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f224,plain,
    ( ~ subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f207,f2]) ).

fof(f207,plain,
    ( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y)))
    | ~ subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(extensionality_resolution,[],[f7,f148]) ).

fof(f148,plain,
    complement(intersection(x,y)) != complement(intersection(complement(complement(x)),complement(complement(y)))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    complement(intersection(x,y)) != union(complement(x),complement(y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_demorgans_law2_1) ).

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

fof(f259,plain,
    ( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y)) ),
    inference(resolution,[],[f25,f226]) ).

fof(f226,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(x,y)))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f223,f2]) ).

fof(f223,plain,
    ( ~ subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(x,y))) ),
    inference(resolution,[],[f207,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | ~ member(X4,universal_class)
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f301,plain,
    ( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x) ),
    inference(resolution,[],[f300,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f300,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(subsumption_resolution,[],[f299,f237]) ).

fof(f299,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f296,f25]) ).

fof(f296,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(subsumption_resolution,[],[f294,f262]) ).

fof(f262,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f261,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f294,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f293,f24]) ).

fof(f293,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x))) ),
    inference(subsumption_resolution,[],[f292,f237]) ).

fof(f292,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f289,f25]) ).

fof(f289,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(y)))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x))) ),
    inference(resolution,[],[f23,f229]) ).

fof(f229,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(complement(complement(x)),complement(complement(y))))
    | member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y))) ),
    inference(resolution,[],[f228,f24]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X1)
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f336,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class),
    inference(subsumption_resolution,[],[f335,f331]) ).

fof(f331,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x),
    inference(resolution,[],[f330,f309]) ).

fof(f309,plain,
    ( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x) ),
    inference(resolution,[],[f304,f23]) ).

fof(f304,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(x,y)),
    inference(resolution,[],[f303,f24]) ).

fof(f330,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y),
    inference(subsumption_resolution,[],[f329,f305]) ).

fof(f329,plain,
    ( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class) ),
    inference(resolution,[],[f327,f25]) ).

fof(f327,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(y)),
    inference(resolution,[],[f324,f24]) ).

fof(f324,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(complement(y))),
    inference(resolution,[],[f323,f22]) ).

fof(f323,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(complement(complement(x)),complement(complement(y)))),
    inference(subsumption_resolution,[],[f322,f305]) ).

fof(f322,plain,
    ( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(complement(complement(x)),complement(complement(y))))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class) ),
    inference(resolution,[],[f321,f25]) ).

fof(f321,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))),
    inference(subsumption_resolution,[],[f319,f266]) ).

fof(f266,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f260,f21]) ).

fof(f260,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(subsumption_resolution,[],[f258,f236]) ).

fof(f236,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f193,f227]) ).

fof(f227,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f224,f3]) ).

fof(f258,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class) ),
    inference(resolution,[],[f25,f225]) ).

fof(f225,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f223,f3]) ).

fof(f319,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f318,f24]) ).

fof(f318,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(subsumption_resolution,[],[f317,f236]) ).

fof(f317,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f314,f25]) ).

fof(f314,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(subsumption_resolution,[],[f312,f265]) ).

fof(f265,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f260,f22]) ).

fof(f312,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x))) ),
    inference(resolution,[],[f298,f24]) ).

fof(f298,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(subsumption_resolution,[],[f297,f236]) ).

fof(f297,plain,
    ( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class) ),
    inference(resolution,[],[f288,f25]) ).

fof(f288,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(y)))
    | ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f23,f230]) ).

fof(f230,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(complement(complement(x)),complement(complement(y))))
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
    inference(resolution,[],[f227,f24]) ).

fof(f335,plain,
    ( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x)
    | ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class) ),
    inference(resolution,[],[f333,f25]) ).

fof(f333,plain,
    ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(x)),
    inference(resolution,[],[f325,f24]) ).

fof(f325,plain,
    member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(complement(x))),
    inference(resolution,[],[f323,f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET156-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 13:35:06 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.27/0.54  % (4629)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)
% 1.27/0.54  % (4630)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.54  % (4646)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)
% 1.27/0.55  % (4647)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.27/0.55  % (4631)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.55  % (4631)Instruction limit reached!
% 1.27/0.55  % (4631)------------------------------
% 1.27/0.55  % (4631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.55  % (4631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.55  % (4631)Termination reason: Unknown
% 1.27/0.55  % (4631)Termination phase: Function definition elimination
% 1.27/0.55  
% 1.27/0.55  % (4631)Memory used [KB]: 1023
% 1.27/0.55  % (4631)Time elapsed: 0.002 s
% 1.27/0.55  % (4631)Instructions burned: 2 (million)
% 1.27/0.55  % (4631)------------------------------
% 1.27/0.55  % (4631)------------------------------
% 1.27/0.55  % (4645)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)
% 1.27/0.55  % (4638)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)
% 1.47/0.56  % (4637)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)
% 1.47/0.56  % (4630)Instruction limit reached!
% 1.47/0.56  % (4630)------------------------------
% 1.47/0.56  % (4630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (4630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (4630)Termination reason: Unknown
% 1.47/0.56  % (4630)Termination phase: Saturation
% 1.47/0.56  
% 1.47/0.56  % (4630)Memory used [KB]: 5500
% 1.47/0.56  % (4630)Time elapsed: 0.122 s
% 1.47/0.56  % (4630)Instructions burned: 7 (million)
% 1.47/0.56  % (4630)------------------------------
% 1.47/0.56  % (4630)------------------------------
% 1.47/0.56  % (4625)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)
% 1.47/0.56  % (4626)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)
% 1.47/0.56  % (4628)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)
% 1.47/0.56  % (4624)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)
% 1.47/0.57  % (4639)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)
% 1.47/0.57  % (4627)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.57  % (4651)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.57  % (4636)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.57  % (4634)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)
% 1.47/0.57  % (4641)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.57  % (4645)First to succeed.
% 1.47/0.57  % (4644)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.57  % (4643)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)
% 1.47/0.58  % (4650)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)
% 1.47/0.58  % (4645)Refutation found. Thanks to Tanya!
% 1.47/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.58  % (4645)------------------------------
% 1.47/0.58  % (4645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (4645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (4645)Termination reason: Refutation
% 1.47/0.58  
% 1.47/0.58  % (4645)Memory used [KB]: 1279
% 1.47/0.58  % (4645)Time elapsed: 0.132 s
% 1.47/0.58  % (4645)Instructions burned: 19 (million)
% 1.47/0.58  % (4645)------------------------------
% 1.47/0.58  % (4645)------------------------------
% 1.47/0.58  % (4622)Success in time 0.219 s
%------------------------------------------------------------------------------