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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG093+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xkZuuW14Bi true

% Computer : n002.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 : Thu Oct  2 04:50:30 PM UTC 2025

% Result   : Theorem 0.54s 0.95s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   87 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  224 (   4 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  843 ( 109   ~; 104   |;  14   &; 597   @)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   60 (   0   ^;  60   !;   0   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

thf(xJ_type,type,
    xJ: $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sdtasasdt0_type,type,
    sdtasasdt0: $i > $i > $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(xI_type,type,
    xI: $i ).

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(m__1150,axiom,
    ( ( aIdeal0 @ xJ )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xJ )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xJ )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
    & ( aSet0 @ xJ )
    & ( aIdeal0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aSet0 @ xI ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(m__,conjecture,
    ( ( ( aSet0 @ ( sdtasasdt0 @ xI @ xJ ) )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtasasdt0 @ xI @ xJ ) )
        <=> ( ( aElementOf0 @ W0 @ xI )
            & ( aElementOf0 @ W0 @ xJ ) ) ) )
   => ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtasasdt0 @ xI @ xJ ) )
         => ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ ( sdtasasdt0 @ xI @ xJ ) )
               => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtasasdt0 @ xI @ xJ ) ) )
            & ! [W1: $i] :
                ( ( aElement0 @ W1 )
               => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ) ) )
      | ( aIdeal0 @ ( sdtasasdt0 @ xI @ xJ ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aSet0 @ ( sdtasasdt0 @ xI @ xJ ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtasasdt0 @ xI @ xJ ) )
          <=> ( ( aElementOf0 @ W0 @ xI )
              & ( aElementOf0 @ W0 @ xJ ) ) ) )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtasasdt0 @ xI @ xJ ) )
           => ( ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ ( sdtasasdt0 @ xI @ xJ ) )
                 => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtasasdt0 @ xI @ xJ ) ) )
              & ! [W1: $i] :
                  ( ( aElement0 @ W1 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ) ) )
        | ( aIdeal0 @ ( sdtasasdt0 @ xI @ xJ ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtasasdt0 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ xJ )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xJ )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl65_001,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtasasdt0 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ xJ )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ ( sdtasasdt0 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl803,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl68]) ).

thf(zip_derived_cl1243,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xI )
    | ~ ( aElementOf0 @ sk__12 @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl803]) ).

thf(zip_derived_cl72,plain,
    aElementOf0 @ sk__11 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xI )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    aElementOf0 @ sk__11 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl66]) ).

thf(zip_derived_cl1244,plain,
    ( ~ ( aElementOf0 @ sk__12 @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1243,zip_derived_cl483]) ).

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl62_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl1195,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X1 @ X0 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl62]) ).

thf(zip_derived_cl1204,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X1 @ xJ )
      | ( aElementOf0 @ ( sdtasdt0 @ X1 @ X0 ) @ xJ )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1195]) ).

thf(zip_derived_cl12_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl58_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl1117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl58]) ).

thf(zip_derived_cl1126,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X1 @ xI )
      | ( aElementOf0 @ ( sdtasdt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl65_005,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtasasdt0 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ xJ )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl70,plain,
    ( ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ~ ( aElement0 @ sk__13 )
    | ~ ( aElement0 @ sk__11 )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl70]) ).

thf(zip_derived_cl72_007,plain,
    aElementOf0 @ sk__11 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl604,plain,
    ( ( aElement0 @ sk__11 )
    | ~ ( aSet0 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl25]) ).

thf(zip_derived_cl64,plain,
    aSet0 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    aElement0 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl64]) ).

thf(zip_derived_cl759,plain,
    ( ~ ( aElement0 @ sk__13 )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl610]) ).

thf(zip_derived_cl71,plain,
    ( ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ( aElement0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl760,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ ( sdtasasdt0 @ xI @ xJ ) )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl71]) ).

thf(zip_derived_cl805,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ xI )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ xJ )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl760]) ).

thf(zip_derived_cl1534,plain,
    ( ~ ( aElement0 @ sk__11 )
    | ~ ( aElement0 @ sk__13 )
    | ~ ( aElementOf0 @ sk__11 @ xI )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ xJ )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl805]) ).

thf(zip_derived_cl610_008,plain,
    aElement0 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl64]) ).

thf(zip_derived_cl61_009,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xJ )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl57_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1150]) ).

thf(zip_derived_cl65_011,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtasasdt0 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ xJ )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ ( sdtasasdt0 @ xI @ xJ ) )
    | ( aElement0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl804,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ( aElement0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl69]) ).

thf(zip_derived_cl1370,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xI )
    | ~ ( aElementOf0 @ sk__12 @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ( aElement0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl804]) ).

thf(zip_derived_cl483_012,plain,
    aElementOf0 @ sk__11 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl66]) ).

thf(zip_derived_cl1371,plain,
    ( ~ ( aElementOf0 @ sk__12 @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ( aElement0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl483]) ).

thf(zip_derived_cl71_013,plain,
    ( ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ( aElement0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66_014,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xI )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ( aElement0 @ sk__13 )
    | ( aElementOf0 @ sk__12 @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl66]) ).

thf(zip_derived_cl1380,plain,
    ( ( aElement0 @ sk__13 )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ ) ),
    inference(clc,[status(thm)],[zip_derived_cl1371,zip_derived_cl484]) ).

thf(zip_derived_cl1381,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xJ )
    | ~ ( aElementOf0 @ sk__12 @ xJ )
    | ( aElement0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1380]) ).

thf(zip_derived_cl72_015,plain,
    aElementOf0 @ sk__11 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xJ )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl485,plain,
    aElementOf0 @ sk__11 @ xJ,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl67]) ).

thf(zip_derived_cl1382,plain,
    ( ~ ( aElementOf0 @ sk__12 @ xJ )
    | ( aElement0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl485]) ).

thf(zip_derived_cl71_016,plain,
    ( ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) )
    | ( aElement0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67_017,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xJ )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl486,plain,
    ( ( aElement0 @ sk__13 )
    | ( aElementOf0 @ sk__12 @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl67]) ).

thf(zip_derived_cl1405,plain,
    aElement0 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1382,zip_derived_cl486]) ).

thf(zip_derived_cl483_018,plain,
    aElementOf0 @ sk__11 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl66]) ).

thf(zip_derived_cl1537,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__11 @ sk__13 ) @ xJ )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl610,zip_derived_cl1405,zip_derived_cl483]) ).

thf(zip_derived_cl1550,plain,
    ( ~ ( aElement0 @ sk__11 )
    | ~ ( aElement0 @ sk__13 )
    | ~ ( aElementOf0 @ sk__11 @ xJ )
    | ( aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1204,zip_derived_cl1537]) ).

thf(zip_derived_cl610_019,plain,
    aElement0 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl64]) ).

thf(zip_derived_cl1405_020,plain,
    aElement0 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1382,zip_derived_cl486]) ).

thf(zip_derived_cl485_021,plain,
    aElementOf0 @ sk__11 @ xJ,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl67]) ).

thf(zip_derived_cl1553,plain,
    aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(demod,[status(thm)],[zip_derived_cl1550,zip_derived_cl610,zip_derived_cl1405,zip_derived_cl485]) ).

thf(zip_derived_cl66_022,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xI )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1558,plain,
    aElementOf0 @ sk__12 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl66]) ).

thf(zip_derived_cl1565,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__11 @ sk__12 ) @ xJ )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1244,zip_derived_cl1558]) ).

thf(zip_derived_cl1656,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xJ )
    | ~ ( aElementOf0 @ sk__12 @ xJ )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1565]) ).

thf(zip_derived_cl485_023,plain,
    aElementOf0 @ sk__11 @ xJ,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl67]) ).

thf(zip_derived_cl1553_024,plain,
    aElementOf0 @ sk__12 @ ( sdtasasdt0 @ xI @ xJ ),
    inference(demod,[status(thm)],[zip_derived_cl1550,zip_derived_cl610,zip_derived_cl1405,zip_derived_cl485]) ).

thf(zip_derived_cl67_025,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xJ )
      | ~ ( aElementOf0 @ X1 @ ( sdtasasdt0 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1559,plain,
    aElementOf0 @ sk__12 @ xJ,
    inference('s_sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl67]) ).

thf(zip_derived_cl1657,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ ( sdtasasdt0 @ xI @ xJ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1656,zip_derived_cl485,zip_derived_cl1559]) ).

thf(zip_derived_cl1706,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ xI )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl1657]) ).

thf(zip_derived_cl1716,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xI )
    | ~ ( aElement0 @ sk__13 )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl1706]) ).

thf(zip_derived_cl483_026,plain,
    aElementOf0 @ sk__11 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl66]) ).

thf(zip_derived_cl1405_027,plain,
    aElement0 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1382,zip_derived_cl486]) ).

thf(zip_derived_cl1721,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ sk__13 @ sk__11 ) @ xJ ),
    inference(demod,[status(thm)],[zip_derived_cl1716,zip_derived_cl483,zip_derived_cl1405]) ).

thf(zip_derived_cl1756,plain,
    ( ~ ( aElementOf0 @ sk__11 @ xJ )
    | ~ ( aElement0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl1721]) ).

thf(zip_derived_cl485_028,plain,
    aElementOf0 @ sk__11 @ xJ,
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl67]) ).

thf(zip_derived_cl1405_029,plain,
    aElement0 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1382,zip_derived_cl486]) ).

thf(zip_derived_cl1761,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1756,zip_derived_cl485,zip_derived_cl1405]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG093+2 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xkZuuW14Bi true
% 0.13/0.34  % Computer : n002.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 : Wed Oct  1 17:24:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.52/0.61  % Total configuration time : 435
% 0.52/0.61  % Estimated wc time : 1092
% 0.52/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.95  % Solved by fo/fo6_bce.sh.
% 0.54/0.95  % BCE start: 74
% 0.54/0.95  % BCE eliminated: 0
% 0.54/0.95  % PE start: 74
% 0.54/0.95  logic: eq
% 0.54/0.95  % PE eliminated: 1
% 0.54/0.95  % done 234 iterations in 0.236s
% 0.54/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.95  % SZS output start Refutation
% See solution above
% 0.54/0.95  
% 0.54/0.95  
% 0.54/0.95  % Terminating...
% 0.54/1.02  % Runner terminated.
% 1.91/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------