TSTP Solution File: NUM564+3 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM564+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:35:10 EDT 2024

% Result   : Theorem 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   32 (  12   ~;   4   |;  12   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,conjecture,
    ( ( aSet0(slcrc0)
      & ~ ? [W0] : aElementOf0(W0,slcrc0) )
   => ( ! [W0] :
          ( aElementOf0(W0,slcrc0)
         => aElementOf0(W0,xS) )
      | aSubsetOf0(slcrc0,xS)
      | aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f80,negated_conjecture,
    ~ ( ( aSet0(slcrc0)
        & ~ ? [W0] : aElementOf0(W0,slcrc0) )
     => ( ! [W0] :
            ( aElementOf0(W0,slcrc0)
           => aElementOf0(W0,xS) )
        | aSubsetOf0(slcrc0,xS)
        | aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
    inference(negated_conjecture,[status(cth)],[f79]) ).

fof(f374,plain,
    ( aSet0(slcrc0)
    & ! [W0] : ~ aElementOf0(W0,slcrc0)
    & ? [W0] :
        ( aElementOf0(W0,slcrc0)
        & ~ aElementOf0(W0,xS) )
    & ~ aSubsetOf0(slcrc0,xS)
    & ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
    inference(pre_NNF_transformation,[status(esa)],[f80]) ).

fof(f375,plain,
    ( aSet0(slcrc0)
    & ! [W0] : ~ aElementOf0(W0,slcrc0)
    & aElementOf0(sk0_23,slcrc0)
    & ~ aElementOf0(sk0_23,xS)
    & ~ aSubsetOf0(slcrc0,xS)
    & ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
    inference(skolemization,[status(esa)],[f374]) ).

fof(f377,plain,
    ! [X0] : ~ aElementOf0(X0,slcrc0),
    inference(cnf_transformation,[status(esa)],[f375]) ).

fof(f378,plain,
    aElementOf0(sk0_23,slcrc0),
    inference(cnf_transformation,[status(esa)],[f375]) ).

fof(f476,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f378,f377]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : NUM564+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 : Mon Apr 29 21:01:18 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.36  % Drodi V3.6.0
% 0.18/0.37  % Refutation found
% 0.18/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.39  % Elapsed time: 0.040220 seconds
% 0.18/0.39  % CPU time: 0.053446 seconds
% 0.18/0.39  % Total memory used: 14.762 MB
% 0.18/0.39  % Net memory used: 14.713 MB
%------------------------------------------------------------------------------