%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 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 20:38:49 EDT 2024

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   38 (  17   ~;  13   |;   7   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   24 (  19   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Z] :
    ? [Y] :
    ! [X] :
      ( element(X,Y)
    <=> ( element(X,Z)
        & ~ element(X,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,conjecture,
    ~ ? [Z] :
      ! [X] : element(X,Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ ~ ? [Z] :
        ! [X] : element(X,Z),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,plain,
    ! [Z] :
    ? [Y] :
    ! [X] :
      ( ( ~ element(X,Y)
        | ( element(X,Z)
          & ~ element(X,X) ) )
      & ( element(X,Y)
        | ~ element(X,Z)
        | element(X,X) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [Z] :
    ? [Y] :
      ( ! [X] :
          ( ~ element(X,Y)
          | ( element(X,Z)
            & ~ element(X,X) ) )
      & ! [X] :
          ( element(X,Y)
          | ~ element(X,Z)
          | element(X,X) ) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [Z] :
      ( ! [X] :
          ( ~ element(X,sk0_0(Z))
          | ( element(X,Z)
            & ~ element(X,X) ) )
      & ! [X] :
          ( element(X,sk0_0(Z))
          | ~ element(X,Z)
          | element(X,X) ) ),
    inference(skolemization,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ element(X0,sk0_0(X1))
      | ~ element(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( element(X0,sk0_0(X1))
      | ~ element(X0,X1)
      | element(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f10,plain,
    ! [X] : element(X,sk0_1),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0] : element(X0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f12,plain,
    ! [X0] :
      ( element(X0,sk0_0(sk0_1))
      | element(X0,X0) ),
    inference(resolution,[status(thm)],[f9,f11]) ).

fof(f13,plain,
    ~ element(sk0_0(sk0_1),sk0_0(sk0_1)),
    inference(resolution,[status(thm)],[f12,f8]) ).

fof(f31,plain,
    $false,
    inference(resolution,[status(thm)],[f13,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n004.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 21:26:18 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.010624 seconds
% 0.07/0.28  % CPU time: 0.020932 seconds
% 0.07/0.28  % Total memory used: 1.910 MB
% 0.07/0.28  % Net memory used: 1.840 MB
%------------------------------------------------------------------------------