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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NUM588+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:41:06 PM UTC 2026

% Result   : Theorem 0.14s 15.46s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  225 (  24 equ)
%            Maximal formula atoms :   40 (  17 avg)
%            Number of connectives :  276 (  64   ~;  46   |; 140   &)
%                                         (   6 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (  12 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   62 (  50   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f88,conjecture,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ! [W1] :
          ( ( isCountable0(W1)
            & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            & ! [W2] :
                ( aElementOf0(W2,W1)
               => aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
            & aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              <=> ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0))
                  & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                  & aElement0(W2) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            & ! [W2] :
                ( aElementOf0(W2,sdtlpdtrp0(xN,W0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
         => ! [W2] :
              ( ( aElementOf0(W2,slbdtsldtrb0(W1,xk))
                & sbrdtbr0(W2) = xk
                & aSubsetOf0(W2,W1)
                & ! [W3] :
                    ( aElementOf0(W3,W2)
                   => aElementOf0(W3,W1) )
                & aSet0(W2) )
             => ( ( ! [W3] :
                      ( aElementOf0(W3,sdtlpdtrp0(xN,W0))
                     => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) )
                  & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
               => ( ( ! [W3] :
                        ( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                      <=> ( W3 != szmzizndt0(sdtlpdtrp0(xN,W0))
                          & aElementOf0(W3,sdtlpdtrp0(xN,W0))
                          & aElement0(W3) ) )
                    & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                 => ( aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
                    | aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                    | ! [W3] :
                        ( aElementOf0(W3,W2)
                       => aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ~ ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
       => ! [W1] :
            ( ( isCountable0(W1)
              & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ! [W2] :
                  ( aElementOf0(W2,W1)
                 => aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
              & aSet0(W1)
              & ! [W2] :
                  ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                <=> ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0))
                    & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                    & aElement0(W2) ) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ! [W2] :
                  ( aElementOf0(W2,sdtlpdtrp0(xN,W0))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
           => ! [W2] :
                ( ( aElementOf0(W2,slbdtsldtrb0(W1,xk))
                  & sbrdtbr0(W2) = xk
                  & aSubsetOf0(W2,W1)
                  & ! [W3] :
                      ( aElementOf0(W3,W2)
                     => aElementOf0(W3,W1) )
                  & aSet0(W2) )
               => ( ( ! [W3] :
                        ( aElementOf0(W3,sdtlpdtrp0(xN,W0))
                       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) )
                    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
                 => ( ( ! [W3] :
                          ( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                        <=> ( W3 != szmzizndt0(sdtlpdtrp0(xN,W0))
                            & aElementOf0(W3,sdtlpdtrp0(xN,W0))
                            & aElement0(W3) ) )
                      & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                   => ( aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
                      | aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                      | ! [W3] :
                          ( aElementOf0(W3,W2)
                         => aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f88]) ).

fof(f477,plain,
    ? [W0] :
      ( ? [W1] :
          ( ? [W2] :
              ( ~ aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
              & ~ aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ? [W3] :
                  ( ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                  & aElementOf0(W3,W2) )
              & ! [W3] :
                  ( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                <=> ( W3 != szmzizndt0(sdtlpdtrp0(xN,W0))
                    & aElementOf0(W3,sdtlpdtrp0(xN,W0))
                    & aElement0(W3) ) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ! [W3] :
                  ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3)
                  | ~ aElementOf0(W3,sdtlpdtrp0(xN,W0)) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
              & aElementOf0(W2,slbdtsldtrb0(W1,xk))
              & sbrdtbr0(W2) = xk
              & aSubsetOf0(W2,W1)
              & ! [W3] :
                  ( aElementOf0(W3,W1)
                  | ~ aElementOf0(W3,W2) )
              & aSet0(W2) )
          & isCountable0(W1)
          & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              | ~ aElementOf0(W2,W1) )
          & aSet0(W1)
          & ! [W2] :
              ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            <=> ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0))
                & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                & aElement0(W2) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2)
              | ~ aElementOf0(W2,sdtlpdtrp0(xN,W0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
      & aElementOf0(W0,szNzAzT0) ),
    inference(pre_NNF_transformation,[status(thm)],[f89]) ).

fof(f478,plain,
    ? [W0] :
      ( ? [W1] :
          ( ? [W2] :
              ( ~ aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
              & ~ aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ? [W3] :
                  ( ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                  & aElementOf0(W3,W2) )
              & ! [W3] :
                  ( ( W3 = szmzizndt0(sdtlpdtrp0(xN,W0))
                    | ~ aElementOf0(W3,sdtlpdtrp0(xN,W0))
                    | ~ aElement0(W3)
                    | aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                  & ( ( W3 != szmzizndt0(sdtlpdtrp0(xN,W0))
                      & aElementOf0(W3,sdtlpdtrp0(xN,W0))
                      & aElement0(W3) )
                    | ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ! [W3] :
                  ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3)
                  | ~ aElementOf0(W3,sdtlpdtrp0(xN,W0)) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
              & aElementOf0(W2,slbdtsldtrb0(W1,xk))
              & sbrdtbr0(W2) = xk
              & aSubsetOf0(W2,W1)
              & ! [W3] :
                  ( aElementOf0(W3,W1)
                  | ~ aElementOf0(W3,W2) )
              & aSet0(W2) )
          & isCountable0(W1)
          & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              | ~ aElementOf0(W2,W1) )
          & aSet0(W1)
          & ! [W2] :
              ( ( W2 = szmzizndt0(sdtlpdtrp0(xN,W0))
                | ~ aElementOf0(W2,sdtlpdtrp0(xN,W0))
                | ~ aElement0(W2)
                | aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
              & ( ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0))
                  & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                  & aElement0(W2) )
                | ~ aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2)
              | ~ aElementOf0(W2,sdtlpdtrp0(xN,W0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
      & aElementOf0(W0,szNzAzT0) ),
    inference(NNF_transformation,[status(thm)],[f477]) ).

fof(f479,plain,
    ? [W0] :
      ( ? [W1] :
          ( ? [W2] :
              ( ~ aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
              & ~ aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ? [W3] :
                  ( ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                  & aElementOf0(W3,W2) )
              & ! [W3] :
                  ( W3 = szmzizndt0(sdtlpdtrp0(xN,W0))
                  | ~ aElementOf0(W3,sdtlpdtrp0(xN,W0))
                  | ~ aElement0(W3)
                  | aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
              & ! [W3] :
                  ( ( W3 != szmzizndt0(sdtlpdtrp0(xN,W0))
                    & aElementOf0(W3,sdtlpdtrp0(xN,W0))
                    & aElement0(W3) )
                  | ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & ! [W3] :
                  ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3)
                  | ~ aElementOf0(W3,sdtlpdtrp0(xN,W0)) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
              & aElementOf0(W2,slbdtsldtrb0(W1,xk))
              & sbrdtbr0(W2) = xk
              & aSubsetOf0(W2,W1)
              & ! [W3] :
                  ( aElementOf0(W3,W1)
                  | ~ aElementOf0(W3,W2) )
              & aSet0(W2) )
          & isCountable0(W1)
          & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              | ~ aElementOf0(W2,W1) )
          & aSet0(W1)
          & ! [W2] :
              ( W2 = szmzizndt0(sdtlpdtrp0(xN,W0))
              | ~ aElementOf0(W2,sdtlpdtrp0(xN,W0))
              | ~ aElement0(W2)
              | aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
          & ! [W2] :
              ( ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0))
                & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                & aElement0(W2) )
              | ~ aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W2] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2)
              | ~ aElementOf0(W2,sdtlpdtrp0(xN,W0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
      & aElementOf0(W0,szNzAzT0) ),
    inference(miniscoping,[status(thm)],[f478]) ).

fof(f480,plain,
    ( ~ aElementOf0(sK28_skl,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))),xk))
    & ~ aSubsetOf0(sK28_skl,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
    & ~ aElementOf0(sK29_skl,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
    & aElementOf0(sK29_skl,sK28_skl)
    & ! [W3] :
        ( W3 = szmzizndt0(sdtlpdtrp0(xN,sK26_skl))
        | ~ aElementOf0(W3,sdtlpdtrp0(xN,sK26_skl))
        | ~ aElement0(W3)
        | aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl)))) )
    & ! [W3] :
        ( ( W3 != szmzizndt0(sdtlpdtrp0(xN,sK26_skl))
          & aElementOf0(W3,sdtlpdtrp0(xN,sK26_skl))
          & aElement0(W3) )
        | ~ aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl)))) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
    & ! [W3] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK26_skl)),W3)
        | ~ aElementOf0(W3,sdtlpdtrp0(xN,sK26_skl)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK26_skl)),sdtlpdtrp0(xN,sK26_skl))
    & aElementOf0(sK28_skl,slbdtsldtrb0(sK27_skl,xk))
    & sbrdtbr0(sK28_skl) = xk
    & aSubsetOf0(sK28_skl,sK27_skl)
    & ! [W3] :
        ( aElementOf0(W3,sK27_skl)
        | ~ aElementOf0(W3,sK28_skl) )
    & aSet0(sK28_skl)
    & isCountable0(sK27_skl)
    & aSubsetOf0(sK27_skl,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
    & ! [W2] :
        ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
        | ~ aElementOf0(W2,sK27_skl) )
    & aSet0(sK27_skl)
    & ! [W2] :
        ( W2 = szmzizndt0(sdtlpdtrp0(xN,sK26_skl))
        | ~ aElementOf0(W2,sdtlpdtrp0(xN,sK26_skl))
        | ~ aElement0(W2)
        | aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl)))) )
    & ! [W2] :
        ( ( W2 != szmzizndt0(sdtlpdtrp0(xN,sK26_skl))
          & aElementOf0(W2,sdtlpdtrp0(xN,sK26_skl))
          & aElement0(W2) )
        | ~ aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl)))) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
    & ! [W2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK26_skl)),W2)
        | ~ aElementOf0(W2,sdtlpdtrp0(xN,sK26_skl)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK26_skl)),sdtlpdtrp0(xN,sK26_skl))
    & aElementOf0(sK26_skl,szNzAzT0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl,sK29_skl]),skolemize(W0,sK26_skl),skolemize(W1,sK27_skl),skolemize(W2,sK28_skl),skolemize(W3,sK29_skl)],[f479]) ).

fof(f490,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl))))
      | ~ aElementOf0(X0,sK27_skl) ),
    inference(cnf_transformation,[status(thm)],[f480]) ).

fof(f494,plain,
    ! [X0] :
      ( aElementOf0(X0,sK27_skl)
      | ~ aElementOf0(X0,sK28_skl) ),
    inference(cnf_transformation,[status(thm)],[f480]) ).

fof(f505,plain,
    aElementOf0(sK29_skl,sK28_skl),
    inference(cnf_transformation,[status(thm)],[f480]) ).

fof(f506,plain,
    ~ aElementOf0(sK29_skl,sdtmndt0(sdtlpdtrp0(xN,sK26_skl),szmzizndt0(sdtlpdtrp0(xN,sK26_skl)))),
    inference(cnf_transformation,[status(thm)],[f480]) ).

fof(f1296,plain,
    ~ aElementOf0(sK29_skl,sK27_skl),
    inference(resolution,[status(thm)],[f490,f506]) ).

fof(f1310,plain,
    ~ aElementOf0(sK29_skl,sK28_skl),
    inference(resolution,[status(thm)],[f1296,f494]) ).

fof(f1311,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1310,f505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM588+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.38  % Computer : n010.cluster.edu
% 0.10/15.38  % Model    : x86_64 x86_64
% 0.10/15.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38  % Memory   : 8046.5625MB
% 0.10/15.38  % OS       : Linux 6.8.0-71-generic
% 0.10/15.38  % CPULimit : 300
% 0.10/15.38  % WCLimit  : 300
% 0.10/15.38  % DateTime : Mon Sep 21 02:42:43 UTC 2026
% 0.10/15.38  % CPUTime  : 
% 0.14/15.41  % Drodi V4.1.1
% 0.14/15.46  % Refutation found
% 0.14/15.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/15.49  % Elapsed time: 0.100187 seconds
% 0.14/15.49  % CPU time: 0.407614 seconds
% 0.14/15.49  % Total memory used: 124.904 MB
% 0.14/15.49  % Net memory used: 124.336 MB
%------------------------------------------------------------------------------