%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:36:03 EDT 2023

% Result   : Theorem 0.16s 0.57s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   7   ~;   2   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (;  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,lemma,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f76,conjecture,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f77,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => set_union2(singleton(A),B) = B ),
    inference(negated_conjecture,[status(cth)],[f76]) ).

fof(f210,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | set_union2(singleton(A),B) = B ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | set_union2(singleton(X0),X1) = X1 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f310,plain,
    ? [A,B] :
      ( in(A,B)
      & set_union2(singleton(A),B) != B ),
    inference(pre_NNF_transformation,[status(esa)],[f77]) ).

fof(f311,plain,
    ( in(sk0_20,sk0_21)
    & set_union2(singleton(sk0_20),sk0_21) != sk0_21 ),
    inference(skolemization,[status(esa)],[f310]) ).

fof(f312,plain,
    in(sk0_20,sk0_21),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f313,plain,
    set_union2(singleton(sk0_20),sk0_21) != sk0_21,
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f443,plain,
    ~ in(sk0_20,sk0_21),
    inference(resolution,[status(thm)],[f211,f313]) ).

fof(f444,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f443,f312]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33  % Computer : n027.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Tue May 30 09:34:47 EDT 2023
% 0.09/0.33  % CPUTime  : 
% 0.09/0.34  % Drodi V3.5.1
% 0.16/0.57  % Refutation found
% 0.16/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57  % Elapsed time: 0.018091 seconds
% 0.16/0.57  % CPU time: 0.016574 seconds
% 0.16/0.57  % Memory used: 3.961 MB
%------------------------------------------------------------------------------