%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:36:00 EDT 2023

% Result   : Theorem 0.17s 0.59s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   31 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  13   ~;   7   |;   4   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (;  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,conjecture,
    ! [A,B] :
      ( in(A,B)
     => set_union2(singleton(A),B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => set_union2(singleton(A),B) = B ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f33,lemma,
    ! [A,B] :
      ( subset(singleton(A),B)
    <=> in(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,lemma,
    ! [A,B] :
      ( subset(A,B)
     => set_union2(A,B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f174,plain,
    ? [A,B] :
      ( in(A,B)
      & set_union2(singleton(A),B) != B ),
    inference(pre_NNF_transformation,[status(esa)],[f32]) ).

fof(f175,plain,
    ( in(sk0_8,sk0_9)
    & set_union2(singleton(sk0_8),sk0_9) != sk0_9 ),
    inference(skolemization,[status(esa)],[f174]) ).

fof(f176,plain,
    in(sk0_8,sk0_9),
    inference(cnf_transformation,[status(esa)],[f175]) ).

fof(f177,plain,
    set_union2(singleton(sk0_8),sk0_9) != sk0_9,
    inference(cnf_transformation,[status(esa)],[f175]) ).

fof(f178,plain,
    ! [A,B] :
      ( ( ~ subset(singleton(A),B)
        | in(A,B) )
      & ( subset(singleton(A),B)
        | ~ in(A,B) ) ),
    inference(NNF_transformation,[status(esa)],[f33]) ).

fof(f179,plain,
    ( ! [A,B] :
        ( ~ subset(singleton(A),B)
        | in(A,B) )
    & ! [A,B] :
        ( subset(singleton(A),B)
        | ~ in(A,B) ) ),
    inference(miniscoping,[status(esa)],[f178]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f179]) ).

fof(f205,plain,
    ! [A,B] :
      ( ~ subset(A,B)
      | set_union2(A,B) = B ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_union2(X0,X1) = X1 ),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f337,plain,
    ~ subset(singleton(sk0_8),sk0_9),
    inference(resolution,[status(thm)],[f206,f177]) ).

fof(f391,plain,
    ~ in(sk0_8,sk0_9),
    inference(resolution,[status(thm)],[f181,f337]) ).

fof(f392,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f391,f176]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.35  % Computer : n021.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8042.1875MB
% 0.10/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Tue May 30 09:12:22 EDT 2023
% 0.10/0.35  % CPUTime  : 
% 0.10/0.36  % Drodi V3.5.1
% 0.17/0.59  % Refutation found
% 0.17/0.59  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.59  % Elapsed time: 0.017789 seconds
% 0.17/0.59  % CPU time: 0.018188 seconds
% 0.17/0.59  % Memory used: 3.895 MB
%------------------------------------------------------------------------------