TSTP Solution File: NUM561+2 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 12:29:43 EDT 2023

% Result   : Theorem 0.09s 0.48s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   4   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (;   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,hypothesis,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f71,conjecture,
    ( ? [W0] :
        ( aElementOf0(W0,szDzozmdt0(xF))
        & sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx) )
    | aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ~ ( ? [W0] :
          ( aElementOf0(W0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx) )
      | aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(negated_conjecture,[status(cth)],[f71]) ).

fof(f310,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(cnf_transformation,[status(esa)],[f70]) ).

fof(f311,plain,
    ( ! [W0] :
        ( ~ aElementOf0(W0,szDzozmdt0(xF))
        | sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx) )
    & ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(pre_NNF_transformation,[status(esa)],[f72]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szDzozmdt0(xF))
      | sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx) ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f356,plain,
    ~ aElementOf0(xx,szDzozmdt0(xF)),
    inference(equality_resolution,[status(esa)],[f312]) ).

fof(f357,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f310,f356]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n006.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 09:52:47 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.09/0.48  % Refutation found
% 0.09/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.48  % Elapsed time: 0.011096 seconds
% 0.09/0.48  % CPU time: 0.025440 seconds
% 0.09/0.48  % Memory used: 15.580 MB
%------------------------------------------------------------------------------