TSTP Solution File: NUM540+2 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:29:36 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   19 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (  10   ~;   2   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    8 (;   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,conjecture,
    ( ( aSet0(slbdtrb0(sz00))
      & ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00)) )
   => ( ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
      | slbdtrb0(sz00) = slcrc0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,negated_conjecture,
    ~ ( ( aSet0(slbdtrb0(sz00))
        & ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00)) )
     => ( ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
        | slbdtrb0(sz00) = slcrc0 ) ),
    inference(negated_conjecture,[status(cth)],[f52]) ).

fof(f219,plain,
    ( aSet0(slbdtrb0(sz00))
    & ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
    & ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
    & slbdtrb0(sz00) != slcrc0 ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f220,plain,
    ( aSet0(slbdtrb0(sz00))
    & ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
    & aElementOf0(sk0_9,slbdtrb0(sz00))
    & slbdtrb0(sz00) != slcrc0 ),
    inference(skolemization,[status(esa)],[f219]) ).

fof(f222,plain,
    ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)),
    inference(cnf_transformation,[status(esa)],[f220]) ).

fof(f223,plain,
    aElementOf0(sk0_9,slbdtrb0(sz00)),
    inference(cnf_transformation,[status(esa)],[f220]) ).

fof(f253,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f223,f222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:14:49 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.027939 seconds
% 0.13/0.38  % CPU time: 0.035325 seconds
% 0.13/0.38  % Memory used: 12.254 MB
%------------------------------------------------------------------------------