%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM533+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:29:34 EDT 2023

% Result   : Theorem 0.15s 0.53s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   48 (  14   ~;   8   |;  18   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   13 (;  12   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,conjecture,
    ( ( ! [W0] :
          ( aElementOf0(W0,xA)
         => aElementOf0(W0,xB) )
      & aSubsetOf0(xA,xB)
      & ! [W0] :
          ( aElementOf0(W0,xB)
         => aElementOf0(W0,xC) )
      & aSubsetOf0(xB,xC) )
   => ( ! [W0] :
          ( aElementOf0(W0,xA)
         => aElementOf0(W0,xC) )
      | aSubsetOf0(xA,xC) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ ( ( ! [W0] :
            ( aElementOf0(W0,xA)
           => aElementOf0(W0,xB) )
        & aSubsetOf0(xA,xB)
        & ! [W0] :
            ( aElementOf0(W0,xB)
           => aElementOf0(W0,xC) )
        & aSubsetOf0(xB,xC) )
     => ( ! [W0] :
            ( aElementOf0(W0,xA)
           => aElementOf0(W0,xC) )
        | aSubsetOf0(xA,xC) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f58,plain,
    ( ! [W0] :
        ( ~ aElementOf0(W0,xA)
        | aElementOf0(W0,xB) )
    & aSubsetOf0(xA,xB)
    & ! [W0] :
        ( ~ aElementOf0(W0,xB)
        | aElementOf0(W0,xC) )
    & aSubsetOf0(xB,xC)
    & ? [W0] :
        ( aElementOf0(W0,xA)
        & ~ aElementOf0(W0,xC) )
    & ~ aSubsetOf0(xA,xC) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f59,plain,
    ( ! [W0] :
        ( ~ aElementOf0(W0,xA)
        | aElementOf0(W0,xB) )
    & aSubsetOf0(xA,xB)
    & ! [W0] :
        ( ~ aElementOf0(W0,xB)
        | aElementOf0(W0,xC) )
    & aSubsetOf0(xB,xC)
    & aElementOf0(sk0_2,xA)
    & ~ aElementOf0(sk0_2,xC)
    & ~ aSubsetOf0(xA,xC) ),
    inference(skolemization,[status(esa)],[f58]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xA)
      | aElementOf0(X0,xB) ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xB)
      | aElementOf0(X0,xC) ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f64,plain,
    aElementOf0(sk0_2,xA),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f65,plain,
    ~ aElementOf0(sk0_2,xC),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f90,plain,
    ~ aElementOf0(sk0_2,xB),
    inference(resolution,[status(thm)],[f62,f65]) ).

fof(f91,plain,
    ~ aElementOf0(sk0_2,xA),
    inference(resolution,[status(thm)],[f90,f60]) ).

fof(f92,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f91,f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : NUM533+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n029.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 10:08:51 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Drodi V3.5.1
% 0.15/0.53  % Refutation found
% 0.15/0.53  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.53  % Elapsed time: 0.012369 seconds
% 0.15/0.53  % CPU time: 0.011074 seconds
% 0.15/0.53  % Memory used: 2.897 MB
%------------------------------------------------------------------------------