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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT381+1 : 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.Gb4k2p1ZTR true

% Computer : n023.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 04:41:47 PM UTC 2025

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  123 (   7 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  335 (  53   ~;  50   |;   5   &; 219   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

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

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

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

thf(xT_type,type,
    xT: $i ).

thf(aUpperBoundOfIn0_type,type,
    aUpperBoundOfIn0: $i > $i > $i > $o ).

thf(xS_type,type,
    xS: $i ).

thf(xv_type,type,
    xv: $i ).

thf(xu_type,type,
    xu: $i ).

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(aSupremumOfIn0_type,type,
    aSupremumOfIn0: $i > $i > $i > $o ).

thf(m__744,axiom,
    ( ( aSupremumOfIn0 @ xv @ xS @ xT )
    & ( aSupremumOfIn0 @ xu @ xS @ xT ) ) ).

thf(zip_derived_cl34,plain,
    aSupremumOfIn0 @ xu @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(mDefSup,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
         => ! [W2: $i] :
              ( ( aSupremumOfIn0 @ W2 @ W1 @ W0 )
            <=> ( ( aElementOf0 @ W2 @ W0 )
                & ( aUpperBoundOfIn0 @ W2 @ W1 @ W0 )
                & ! [W3: $i] :
                    ( ( aUpperBoundOfIn0 @ W3 @ W1 @ W0 )
                   => ( sdtlseqdt0 @ W2 @ W3 ) ) ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( aUpperBoundOfIn0 @ X2 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl66,plain,
    ( ~ ( aSet0 @ xT )
    | ( aUpperBoundOfIn0 @ xu @ xS @ xT )
    | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl27]) ).

thf(m__725,axiom,
    aSet0 @ xT ).

thf(zip_derived_cl31,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(m__725_01,axiom,
    aSubsetOf0 @ xS @ xT ).

thf(zip_derived_cl32,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl68,plain,
    aUpperBoundOfIn0 @ xu @ xS @ xT,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl33,plain,
    aSupremumOfIn0 @ xv @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( sdtlseqdt0 @ X2 @ X3 )
      | ~ ( aUpperBoundOfIn0 @ X3 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xT )
      | ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
      | ( sdtlseqdt0 @ xv @ X0 )
      | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl28]) ).

thf(zip_derived_cl31_001,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl32_002,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
      | ( sdtlseqdt0 @ xv @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl83,plain,
    sdtlseqdt0 @ xv @ xu,
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl79]) ).

thf(mASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mASymm]) ).

thf(zip_derived_cl90,plain,
    ( ~ ( sdtlseqdt0 @ xu @ xv )
    | ( xu = xv )
    | ~ ( aElement0 @ xv )
    | ~ ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl11]) ).

thf(zip_derived_cl33_003,plain,
    aSupremumOfIn0 @ xv @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( aSet0 @ xT )
    | ( aElementOf0 @ xv @ xT )
    | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl26]) ).

thf(zip_derived_cl31_004,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl32_005,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl45,plain,
    aElementOf0 @ xv @ xT,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl31,zip_derived_cl32]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( aSet0 @ xT )
    | ( aElement0 @ xv ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl2]) ).

thf(zip_derived_cl31_006,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl48,plain,
    aElement0 @ xv,
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl31]) ).

thf(zip_derived_cl34_007,plain,
    aSupremumOfIn0 @ xu @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(zip_derived_cl26_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( aSet0 @ xT )
    | ( aElementOf0 @ xu @ xT )
    | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl26]) ).

thf(zip_derived_cl31_009,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl32_010,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl51,plain,
    aElementOf0 @ xu @ xT,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl2_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( aSet0 @ xT )
    | ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl2]) ).

thf(zip_derived_cl31_012,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl54,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl31]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( sdtlseqdt0 @ xu @ xv )
    | ( xu = xv ) ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl48,zip_derived_cl54]) ).

thf(m__,conjecture,
    xu = xv ).

thf(zf_stmt_0,negated_conjecture,
    xu != xv,
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl35,plain,
    xu != xv,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    ~ ( sdtlseqdt0 @ xu @ xv ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl92,zip_derived_cl35]) ).

thf(zip_derived_cl33_013,plain,
    aSupremumOfIn0 @ xv @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(zip_derived_cl27_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( aUpperBoundOfIn0 @ X2 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( aSet0 @ xT )
    | ( aUpperBoundOfIn0 @ xv @ xS @ xT )
    | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl27]) ).

thf(zip_derived_cl31_015,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl32_016,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl69,plain,
    aUpperBoundOfIn0 @ xv @ xS @ xT,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl34_017,plain,
    aSupremumOfIn0 @ xu @ xS @ xT,
    inference(cnf,[status(esa)],[m__744]) ).

thf(zip_derived_cl28_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
      | ( sdtlseqdt0 @ X2 @ X3 )
      | ~ ( aUpperBoundOfIn0 @ X3 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSup]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xT )
      | ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
      | ( sdtlseqdt0 @ xu @ X0 )
      | ~ ( aSubsetOf0 @ xS @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).

thf(zip_derived_cl31_019,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__725]) ).

thf(zip_derived_cl32_020,plain,
    aSubsetOf0 @ xS @ xT,
    inference(cnf,[status(esa)],[m__725_01]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
      | ( sdtlseqdt0 @ xu @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl97,plain,
    sdtlseqdt0 @ xu @ xv,
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl78]) ).

thf(zip_derived_cl101,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl97]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT381+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Gb4k2p1ZTR true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 14:40:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79  % Solved by fo/fo7.sh.
% 0.59/0.79  % done 45 iterations in 0.016s
% 0.59/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.79  % SZS output start Refutation
% See solution above
% 0.59/0.79  
% 0.59/0.79  
% 0.59/0.79  % Terminating...
% 0.64/0.87  % Runner terminated.
% 0.64/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------