%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 12:29:42 EDT 2023

% Result   : Theorem 0.22s 0.63s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   57 (   9 equ)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :   66 (  20   ~;  12   |;  27   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (;  11   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,conjecture,
    ( ( aSet0(sdtlbdtrb0(xF,xy))
      & ! [W0] :
          ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        <=> ( aElementOf0(W0,szDzozmdt0(xF))
            & sdtlpdtrp0(xF,W0) = xy ) ) )
   => ( ! [W0] :
          ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
         => aElementOf0(W0,szDzozmdt0(xF)) )
      | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f69,negated_conjecture,
    ~ ( ( aSet0(sdtlbdtrb0(xF,xy))
        & ! [W0] :
            ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
          <=> ( aElementOf0(W0,szDzozmdt0(xF))
              & sdtlpdtrp0(xF,W0) = xy ) ) )
     => ( ! [W0] :
            ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
           => aElementOf0(W0,szDzozmdt0(xF)) )
        | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    inference(negated_conjecture,[status(cth)],[f68]) ).

fof(f295,plain,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
      <=> ( aElementOf0(W0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,W0) = xy ) )
    & ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        & ~ aElementOf0(W0,szDzozmdt0(xF)) )
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(pre_NNF_transformation,[status(esa)],[f69]) ).

fof(f296,plain,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [W0] :
        ( ( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
          | ( aElementOf0(W0,szDzozmdt0(xF))
            & sdtlpdtrp0(xF,W0) = xy ) )
        & ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
          | ~ aElementOf0(W0,szDzozmdt0(xF))
          | sdtlpdtrp0(xF,W0) != xy ) )
    & ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        & ~ aElementOf0(W0,szDzozmdt0(xF)) )
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(NNF_transformation,[status(esa)],[f295]) ).

fof(f297,plain,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [W0] :
        ( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
        | ( aElementOf0(W0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,W0) = xy ) )
    & ! [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        | ~ aElementOf0(W0,szDzozmdt0(xF))
        | sdtlpdtrp0(xF,W0) != xy )
    & ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        & ~ aElementOf0(W0,szDzozmdt0(xF)) )
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(miniscoping,[status(esa)],[f296]) ).

fof(f298,plain,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [W0] :
        ( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
        | ( aElementOf0(W0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,W0) = xy ) )
    & ! [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xF,xy))
        | ~ aElementOf0(W0,szDzozmdt0(xF))
        | sdtlpdtrp0(xF,W0) != xy )
    & aElementOf0(sk0_13,sdtlbdtrb0(xF,xy))
    & ~ aElementOf0(sk0_13,szDzozmdt0(xF))
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(skolemization,[status(esa)],[f297]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlbdtrb0(xF,xy))
      | aElementOf0(X0,szDzozmdt0(xF)) ),
    inference(cnf_transformation,[status(esa)],[f298]) ).

fof(f303,plain,
    aElementOf0(sk0_13,sdtlbdtrb0(xF,xy)),
    inference(cnf_transformation,[status(esa)],[f298]) ).

fof(f304,plain,
    ~ aElementOf0(sk0_13,szDzozmdt0(xF)),
    inference(cnf_transformation,[status(esa)],[f298]) ).

fof(f344,plain,
    aElementOf0(sk0_13,szDzozmdt0(xF)),
    inference(resolution,[status(thm)],[f300,f303]) ).

fof(f345,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f344,f304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:47:16 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.22/0.63  % Refutation found
% 0.22/0.63  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.63  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.63  % Elapsed time: 0.066340 seconds
% 0.22/0.63  % CPU time: 0.031274 seconds
% 0.22/0.63  % Memory used: 3.904 MB
%------------------------------------------------------------------------------