%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:35:20 EDT 2024

% Result   : Theorem 0.11s 0.28s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   58 (  10 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :   65 (  20   ~;  14   |;  26   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  12   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,hypothesis,
    ( aSet0(xP)
    & ! [W0] :
        ( aElementOf0(W0,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),W0) )
    & ! [W0] :
        ( aElementOf0(W0,xP)
      <=> ( aElement0(W0)
          & aElementOf0(W0,xQ)
          & W0 != szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f107,conjecture,
    ( ! [W0] :
        ( aElementOf0(W0,xP)
       => aElementOf0(W0,xQ) )
    | aSubsetOf0(xP,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f108,negated_conjecture,
    ~ ( ! [W0] :
          ( aElementOf0(W0,xP)
         => aElementOf0(W0,xQ) )
      | aSubsetOf0(xP,xQ) ),
    inference(negated_conjecture,[status(cth)],[f107]) ).

fof(f620,plain,
    ( aSet0(xP)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | sdtlseqdt0(szmzizndt0(xQ),W0) )
    & ! [W0] :
        ( aElementOf0(W0,xP)
      <=> ( aElement0(W0)
          & aElementOf0(W0,xQ)
          & W0 != szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(pre_NNF_transformation,[status(esa)],[f104]) ).

fof(f621,plain,
    ( aSet0(xP)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | sdtlseqdt0(szmzizndt0(xQ),W0) )
    & ! [W0] :
        ( ( ~ aElementOf0(W0,xP)
          | ( aElement0(W0)
            & aElementOf0(W0,xQ)
            & W0 != szmzizndt0(xQ) ) )
        & ( aElementOf0(W0,xP)
          | ~ aElement0(W0)
          | ~ aElementOf0(W0,xQ)
          | W0 = szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(NNF_transformation,[status(esa)],[f620]) ).

fof(f622,plain,
    ( aSet0(xP)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | sdtlseqdt0(szmzizndt0(xQ),W0) )
    & ! [W0] :
        ( ~ aElementOf0(W0,xP)
        | ( aElement0(W0)
          & aElementOf0(W0,xQ)
          & W0 != szmzizndt0(xQ) ) )
    & ! [W0] :
        ( aElementOf0(W0,xP)
        | ~ aElement0(W0)
        | ~ aElementOf0(W0,xQ)
        | W0 = szmzizndt0(xQ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(miniscoping,[status(esa)],[f621]) ).

fof(f626,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xP)
      | aElementOf0(X0,xQ) ),
    inference(cnf_transformation,[status(esa)],[f622]) ).

fof(f634,plain,
    ( ? [W0] :
        ( aElementOf0(W0,xP)
        & ~ aElementOf0(W0,xQ) )
    & ~ aSubsetOf0(xP,xQ) ),
    inference(pre_NNF_transformation,[status(esa)],[f108]) ).

fof(f635,plain,
    ( aElementOf0(sk0_38,xP)
    & ~ aElementOf0(sk0_38,xQ)
    & ~ aSubsetOf0(xP,xQ) ),
    inference(skolemization,[status(esa)],[f634]) ).

fof(f636,plain,
    aElementOf0(sk0_38,xP),
    inference(cnf_transformation,[status(esa)],[f635]) ).

fof(f637,plain,
    ~ aElementOf0(sk0_38,xQ),
    inference(cnf_transformation,[status(esa)],[f635]) ).

fof(f813,plain,
    aElementOf0(sk0_38,xQ),
    inference(resolution,[status(thm)],[f626,f636]) ).

fof(f814,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f813,f637]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n022.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Mon Apr 29 20:53:58 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.6.0
% 0.11/0.28  % Refutation found
% 0.11/0.28  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.29  % Elapsed time: 0.023265 seconds
% 0.11/0.29  % CPU time: 0.036672 seconds
% 0.11/0.29  % Total memory used: 17.311 MB
% 0.11/0.29  % Net memory used: 17.226 MB
%------------------------------------------------------------------------------