%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 May 31 12:35:52 EDT 2023

% Result   : Theorem 0.13s 0.52s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   34 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   32 (  13   ~;   9   |;   7   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (;  15   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [A,B] :
      ( A = B
    <=> ( subset(A,B)
        & subset(B,A) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,lemma,
    ! [A] : subset(empty_set,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [A] :
      ( subset(A,empty_set)
     => A = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [A] :
        ( subset(A,empty_set)
       => A = empty_set ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f28,plain,
    ! [A,B] :
      ( ( A != B
        | ( subset(A,B)
          & subset(B,A) ) )
      & ( A = B
        | ~ subset(A,B)
        | ~ subset(B,A) ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f29,plain,
    ( ! [A,B] :
        ( A != B
        | ( subset(A,B)
          & subset(B,A) ) )
    & ! [A,B] :
        ( A = B
        | ~ subset(A,B)
        | ~ subset(B,A) ) ),
    inference(miniscoping,[status(esa)],[f28]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f72,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f79,plain,
    ? [A] :
      ( subset(A,empty_set)
      & A != empty_set ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f80,plain,
    ( subset(sk0_6,empty_set)
    & sk0_6 != empty_set ),
    inference(skolemization,[status(esa)],[f79]) ).

fof(f81,plain,
    subset(sk0_6,empty_set),
    inference(cnf_transformation,[status(esa)],[f80]) ).

fof(f82,plain,
    sk0_6 != empty_set,
    inference(cnf_transformation,[status(esa)],[f80]) ).

fof(f110,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ subset(X0,empty_set) ),
    inference(resolution,[status(thm)],[f72,f32]) ).

fof(f111,plain,
    sk0_6 = empty_set,
    inference(resolution,[status(thm)],[f110,f81]) ).

fof(f112,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f111,f82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n009.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 09:09:16 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.13/0.52  % Refutation found
% 0.13/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.52  % Elapsed time: 0.012006 seconds
% 0.13/0.52  % CPU time: 0.010893 seconds
% 0.13/0.52  % Memory used: 3.631 MB
%------------------------------------------------------------------------------