%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU295+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:41:51 EDT 2024

% Result   : Theorem 0.09s 0.29s
% Output   : CNFRefutation 0.09s
% 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 :   18 (   9   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [A,B] :
      ( finite(A)
     => finite(set_intersection2(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,conjecture,
    ! [A,B] :
      ( finite(A)
     => finite(set_intersection2(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,negated_conjecture,
    ~ ! [A,B] :
        ( finite(A)
       => finite(set_intersection2(A,B)) ),
    inference(negated_conjecture,[status(cth)],[f52]) ).

fof(f107,plain,
    ! [A,B] :
      ( ~ finite(A)
      | finite(set_intersection2(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f108,plain,
    ! [A] :
      ( ~ finite(A)
      | ! [B] : finite(set_intersection2(A,B)) ),
    inference(miniscoping,[status(esa)],[f107]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | finite(set_intersection2(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f108]) ).

fof(f247,plain,
    ? [A,B] :
      ( finite(A)
      & ~ finite(set_intersection2(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f248,plain,
    ? [A] :
      ( finite(A)
      & ? [B] : ~ finite(set_intersection2(A,B)) ),
    inference(miniscoping,[status(esa)],[f247]) ).

fof(f249,plain,
    ( finite(sk0_26)
    & ~ finite(set_intersection2(sk0_26,sk0_27)) ),
    inference(skolemization,[status(esa)],[f248]) ).

fof(f250,plain,
    finite(sk0_26),
    inference(cnf_transformation,[status(esa)],[f249]) ).

fof(f251,plain,
    ~ finite(set_intersection2(sk0_26,sk0_27)),
    inference(cnf_transformation,[status(esa)],[f249]) ).

fof(f297,plain,
    ~ finite(sk0_26),
    inference(resolution,[status(thm)],[f109,f251]) ).

fof(f298,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f297,f250]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU295+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Mon Apr 29 19:53:35 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.09/0.29  % Drodi V3.6.0
% 0.09/0.29  % Refutation found
% 0.09/0.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.30  % Elapsed time: 0.016406 seconds
% 0.09/0.30  % CPU time: 0.024413 seconds
% 0.09/0.30  % Total memory used: 13.534 MB
% 0.09/0.30  % Net memory used: 13.523 MB
%------------------------------------------------------------------------------