%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 : Tue Apr 30 20:41:02 EDT 2024

% Result   : Theorem 0.20s 0.36s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [A,B] :
      ( element(B,finite_subsets(A))
     => finite(B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,conjecture,
    ! [A,B] :
      ( element(B,finite_subsets(A))
     => finite(B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ~ ! [A,B] :
        ( element(B,finite_subsets(A))
       => finite(B) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f83,plain,
    ! [A,B] :
      ( ~ element(B,finite_subsets(A))
      | finite(B) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f84,plain,
    ! [B] :
      ( ! [A] : ~ element(B,finite_subsets(A))
      | finite(B) ),
    inference(miniscoping,[status(esa)],[f83]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ element(X0,finite_subsets(X1))
      | finite(X0) ),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f127,plain,
    ? [A,B] :
      ( element(B,finite_subsets(A))
      & ~ finite(B) ),
    inference(pre_NNF_transformation,[status(esa)],[f32]) ).

fof(f128,plain,
    ? [B] :
      ( ? [A] : element(B,finite_subsets(A))
      & ~ finite(B) ),
    inference(miniscoping,[status(esa)],[f127]) ).

fof(f129,plain,
    ( element(sk0_10,finite_subsets(sk0_11))
    & ~ finite(sk0_10) ),
    inference(skolemization,[status(esa)],[f128]) ).

fof(f130,plain,
    element(sk0_10,finite_subsets(sk0_11)),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f131,plain,
    ~ finite(sk0_10),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f132,plain,
    finite(sk0_10),
    inference(resolution,[status(thm)],[f85,f130]) ).

fof(f133,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f132,f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n004.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 19:39:03 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.6.0
% 0.20/0.36  % Refutation found
% 0.20/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.032009 seconds
% 0.20/0.39  % CPU time: 0.017772 seconds
% 0.20/0.39  % Total memory used: 1.604 MB
% 0.20/0.39  % Net memory used: 1.602 MB
%------------------------------------------------------------------------------